{"id":51752,"date":"2025-08-11T06:29:18","date_gmt":"2025-08-10T22:29:18","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/51752.html"},"modified":"2025-08-11T06:29:18","modified_gmt":"2025-08-10T22:29:18","slug":"%e6%b5%81%e4%bd%93%e5%8a%a8%e5%8a%9b%e5%ad%a6%e4%bb%bf%e7%9c%9f%e8%bd%af%e4%bb%b6%ef%bc%9afluent_%ef%bc%8813%ef%bc%89-%e7%a6%bb%e6%95%a3%e7%9b%b8%e6%a8%a1%e5%9e%8b","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/51752.html","title":{"rendered":"\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u8f6f\u4ef6\uff1aFluent_\uff0813\uff09.\u79bb\u6563\u76f8\u6a21\u578b"},"content":{"rendered":"<h2>\u79bb\u6563\u76f8\u6a21\u578b<\/h2>\n<h3>\u79bb\u6563\u76f8\u6a21\u578b\u6982\u8ff0<\/h3>\n<p>\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u4eff\u771f\u8f6f\u4ef6Fluent\u4e2d&#xff0c;\u79bb\u6563\u76f8\u6a21\u578b&#xff08;Discrete Phase Model, DPM&#xff09;\u7528\u4e8e\u6a21\u62df\u9897\u7c92\u3001\u6db2\u6ef4\u6216\u6c14\u6ce1\u7b49\u79bb\u6563\u76f8\u5728\u8fde\u7eed\u76f8\u4e2d\u7684\u8fd0\u52a8\u3002DPM\u6a21\u578b\u5047\u8bbe\u79bb\u6563\u76f8\u7684\u9897\u7c92\u662f\u8fde\u7eed\u76f8\u4e2d\u7684\u70b9\u6e90&#xff0c;\u6bcf\u4e2a\u9897\u7c92\u9075\u5faa\u5176\u81ea\u8eab\u7684\u8fd0\u52a8\u8f68\u8ff9&#xff0c;\u540c\u65f6\u4e0e\u8fde\u7eed\u76f8\u8fdb\u884c\u52a8\u91cf\u3001\u70ed\u91cf\u548c\u8d28\u91cf\u7684\u4ea4\u6362\u3002DPM\u6a21\u578b\u5728\u8bb8\u591a\u5de5\u4e1a\u5e94\u7528\u4e2d\u975e\u5e38\u6709\u7528&#xff0c;\u4f8b\u5982\u71c3\u70e7\u3001\u55b7\u96fe\u3001\u6c14\u56fa\u5206\u79bb\u7b49\u3002<\/p>\n<h4>\u79bb\u6563\u76f8\u6a21\u578b\u7684\u57fa\u672c\u539f\u7406<\/h4>\n<p>\u79bb\u6563\u76f8\u6a21\u578b\u7684\u57fa\u672c\u539f\u7406\u662f\u901a\u8fc7\u6c42\u89e3\u9897\u7c92\u7684\u8f68\u8ff9\u65b9\u7a0b\u6765\u6a21\u62df\u9897\u7c92\u7684\u8fd0\u52a8\u3002\u8fd9\u4e9b\u8f68\u8ff9\u65b9\u7a0b\u901a\u5e38\u57fa\u4e8e\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b&#xff0c;\u8003\u8651\u4e86\u9897\u7c92\u6240\u53d7\u7684\u5404\u79cd\u529b&#xff0c;\u5982\u91cd\u529b\u3001\u66f3\u529b\u3001\u5347\u529b\u3001\u865a\u62df\u8d28\u91cf\u529b\u3001\u5e03\u6717\u529b\u7b49\u3002\u9897\u7c92\u7684\u8fd0\u52a8\u8f68\u8ff9\u53ef\u4ee5\u7528\u6b27\u62c9\u65b9\u6cd5\u6216\u62c9\u683c\u6717\u65e5\u65b9\u6cd5\u8fdb\u884c\u6c42\u89e3&#xff0c;\u5176\u4e2dFluent\u4e3b\u8981\u91c7\u7528\u62c9\u683c\u6717\u65e5\u65b9\u6cd5\u3002<\/p>\n<h4>\u9897\u7c92\u8f68\u8ff9\u65b9\u7a0b<\/h4>\n<p>\u9897\u7c92\u8f68\u8ff9\u65b9\u7a0b\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u5f62\u5f0f\u8868\u793a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">dupdt&#061;ug\u2212up\u03c4&#043;g\u2212up\u2212ug\u03c4v&#043;FL&#043;FB \\\\frac{d\\\\mathbf{u}_p}{dt} &#061; \\\\frac{\\\\mathbf{u}_g &#8211; \\\\mathbf{u}_p}{\\\\tau} &#043; \\\\mathbf{g} &#8211; \\\\frac{\\\\mathbf{u}_p &#8211; \\\\mathbf{u}_g}{\\\\tau_v} &#043; \\\\mathbf{F}_L &#043; \\\\mathbf{F}_B <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.0574em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.9463em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">g<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0963em;vertical-align: -0.836em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">up\\\\mathbf{u}_p<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7305em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u9897\u7c92\u7684\u901f\u5ea6<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ug\\\\mathbf{u}_g<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7305em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u8fde\u7eed\u76f8\u7684\u901f\u5ea6<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span>\u662f\u66f3\u529b\u7684\u65f6\u95f4\u5e38\u6570<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">g\\\\mathbf{g}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6389em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathbf\" style=\"margin-right: 0.016em\">g<\/span><\/span><\/span><\/span><\/span>\u662f\u91cd\u529b\u52a0\u901f\u5ea6<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4v\\\\tau_v<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u865a\u62df\u8d28\u91cf\u529b\u7684\u65f6\u95f4\u5e38\u6570<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">FL\\\\mathbf{F}_L<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5347\u529b<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">FB\\\\mathbf{F}_B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5e03\u6717\u529b<\/p>\n<\/li>\n<\/ul>\n<h4>\u529b\u7684\u8ba1\u7b97<\/h4>\n<h5>\u66f3\u529b&#xff08;Drag Force&#xff09;<\/h5>\n<p>\u66f3\u529b\u662f\u9897\u7c92\u5728\u8fde\u7eed\u76f8\u4e2d\u8fd0\u52a8\u65f6\u6240\u53d7\u7684\u4e3b\u8981\u963b\u529b&#xff0c;\u901a\u5e38\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">FD&#061;12CD\u03c0dp24\u03c1g\u2223ug\u2212up\u2223(ug\u2212up) \\\\mathbf{F}_D &#061; \\\\frac{1}{2} C_D \\\\frac{\\\\pi d_p^2}{4} \\\\rho_g |\\\\mathbf{u}_g &#8211; \\\\mathbf{u}_p| (\\\\mathbf{u}_g &#8211; \\\\mathbf{u}_p) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.2732em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.5872em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.7731em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">CDC_D<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u66f3\u529b\u7cfb\u6570<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">dpd_p<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9805em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u9897\u7c92\u76f4\u5f84<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1g\\\\rho_g<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u8fde\u7eed\u76f8\u7684\u5bc6\u5ea6<\/p>\n<\/li>\n<\/ul>\n<h5>\u5347\u529b&#xff08;Lift Force&#xff09;<\/h5>\n<p>\u5347\u529b\u662f\u7531\u4e8e\u9897\u7c92\u548c\u8fde\u7eed\u76f8\u4e4b\u95f4\u7684\u901f\u5ea6\u5dee\u5f02\u5f15\u8d77\u7684\u4fa7\u5411\u529b&#xff0c;\u53ef\u4ee5\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">FL&#061;CL\u03c0dp28\u03c1g\u2223ug\u2212up\u2223(ug\u2212up)\u00d7n \\\\mathbf{F}_L &#061; C_L \\\\frac{\\\\pi d_p^2}{8} \\\\rho_g |\\\\mathbf{u}_g &#8211; \\\\mathbf{u}_p| (\\\\mathbf{u}_g &#8211; \\\\mathbf{u}_p) \\\\times \\\\mathbf{n} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.2732em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.5872em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">8<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.7731em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4444em\"><\/span><span class=\"mord mathbf\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">CLC_L<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5347\u529b\u7cfb\u6570<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">n\\\\mathbf{n}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4444em\"><\/span><span class=\"mord mathbf\">n<\/span><\/span><\/span><\/span><\/span>\u662f\u9897\u7c92\u548c\u8fde\u7eed\u76f8\u901f\u5ea6\u5dee\u5f02\u7684\u65b9\u5411\u5411\u91cf<\/p>\n<\/li>\n<\/ul>\n<h5>\u865a\u62df\u8d28\u91cf\u529b&#xff08;Virtual Mass Force&#xff09;<\/h5>\n<p>\u865a\u62df\u8d28\u91cf\u529b\u662f\u7531\u4e8e\u9897\u7c92\u7684\u52a0\u901f\u5ea6\u5f15\u8d77\u7684\u529b&#xff0c;\u53ef\u4ee5\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Fv&#061;Cv\u03c0dp36\u03c1gdugdt \\\\mathbf{F}_v &#061; C_v \\\\frac{\\\\pi d_p^3}{6} \\\\rho_g \\\\frac{d\\\\mathbf{u}_g}{dt} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.2732em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.5872em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.7731em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"mord\"><span class=\"mord mathbf\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">CvC_v<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u865a\u62df\u8d28\u91cf\u7cfb\u6570<\/li>\n<\/ul>\n<h5>\u5e03\u6717\u529b&#xff08;Brownian Force&#xff09;<\/h5>\n<p>\u5e03\u6717\u529b\u662f\u7531\u4e8e\u9897\u7c92\u5728\u8fde\u7eed\u76f8\u4e2d\u53d7\u5230\u7684\u968f\u673a\u70ed\u8fd0\u52a8\u5f15\u8d77\u7684\u529b&#xff0c;\u901a\u5e38\u5728\u5fae\u5c0f\u9897\u7c92\u7684\u8fd0\u52a8\u4e2d\u8003\u8651&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">FB&#061;6kBT\u03c1pdp\u03bc1\u0394tR \\\\mathbf{F}_B &#061; \\\\sqrt{6 k_B T \\\\frac{\\\\rho_p d_p}{\\\\mu} \\\\frac{1}{\\\\Delta t}} \\\\mathbf{R} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8361em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.04em;vertical-align: -1.1606em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8794em\"><span class=\"svg-align\" style=\"top: -5em\"><span class=\"pstrut\" style=\"height: 5em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mord\">6<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0315em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3714em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8804em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.8394em\"><span class=\"pstrut\" style=\"height: 5em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 3.08em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1606em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathbf\">R<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">kBk_B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0315em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u73bb\u5c14\u5179\u66fc\u5e38\u6570<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">TT<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span>\u662f\u6e29\u5ea6<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1p\\\\rho_p<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u9897\u7c92\u7684\u5bc6\u5ea6<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03bc\\\\mu<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><\/span>\u662f\u8fde\u7eed\u76f8\u7684\u52a8\u6001\u7c98\u5ea6<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0394t\\\\Delta t<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span>\u662f\u65f6\u95f4\u6b65\u957f<\/p>\n<\/li>\n<li>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">R\\\\mathbf{R}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">R<\/span><\/span><\/span><\/span><\/span>\u662f\u968f\u673a\u5411\u91cf<\/p>\n<\/li>\n<\/ul>\n<h3>DPM\u6a21\u578b\u7684\u8bbe\u7f6e<\/h3>\n<p>\u5728Fluent\u4e2d&#xff0c;\u8bbe\u7f6eDPM\u6a21\u578b\u7684\u6b65\u9aa4\u5982\u4e0b&#xff1a;<\/p>\n<li>\n<p>\u5b9a\u4e49\u9897\u7c92\u5c5e\u6027&#xff1a;\u5305\u62ec\u9897\u7c92\u7684\u76f4\u5f84\u3001\u5bc6\u5ea6\u3001\u521d\u59cb\u901f\u5ea6\u7b49\u3002<\/p>\n<\/li>\n<li>\n<p>\u9009\u62e9\u529b\u6a21\u578b&#xff1a;\u6839\u636e\u4eff\u771f\u9700\u6c42\u9009\u62e9\u66f3\u529b\u3001\u5347\u529b\u3001\u865a\u62df\u8d28\u91cf\u529b\u7b49\u3002<\/p>\n<\/li>\n<li>\n<p>\u8bbe\u7f6e\u9897\u7c92\u6ce8\u5165&#xff1a;\u5b9a\u4e49\u9897\u7c92\u7684\u6ce8\u5165\u4f4d\u7f6e\u3001\u6ce8\u5165\u901f\u5ea6\u548c\u6ce8\u5165\u8d28\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b9a\u4e49\u9897\u7c92\u4e0e\u8fde\u7eed\u76f8\u7684\u76f8\u4e92\u4f5c\u7528&#xff1a;\u8bbe\u7f6e\u9897\u7c92\u4e0e\u8fde\u7eed\u76f8\u4e4b\u95f4\u7684\u52a8\u91cf\u3001\u70ed\u91cf\u548c\u8d28\u91cf\u4ea4\u6362\u3002<\/p>\n<\/li>\n<h4>\u793a\u4f8b&#xff1a;\u71c3\u70e7\u5ba4\u4e2d\u7684\u9897\u7c92\u8ffd\u8e2a<\/h4>\n<p>\u5047\u8bbe\u6211\u4eec\u9700\u8981\u6a21\u62df\u4e00\u4e2a\u71c3\u70e7\u5ba4\u4e2d\u7684\u7164\u7c89\u9897\u7c92\u7684\u8fd0\u52a8\u8f68\u8ff9\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u5177\u4f53\u7684\u8bbe\u7f6e\u6b65\u9aa4\u548c\u4ee3\u7801\u793a\u4f8b\u3002<\/p>\n<h5>\u51e0\u4f55\u6a21\u578b\u548c\u7f51\u683c<\/h5>\n<p>\u9996\u5148&#xff0c;\u6211\u4eec\u9700\u8981\u521b\u5efa\u4e00\u4e2a\u71c3\u70e7\u5ba4\u7684\u51e0\u4f55\u6a21\u578b\u5e76\u8fdb\u884c\u7f51\u683c\u5212\u5206\u3002\u8fd9\u91cc\u5047\u8bbe\u5df2\u7ecf\u6709\u4e00\u4e2a\u5b8c\u6210\u7684\u51e0\u4f55\u6a21\u578b\u548c\u7f51\u683c\u3002<\/p>\n<p><span class=\"token comment\"># \u5bfc\u5165Fluent\u6a21\u5757<\/span><\/p>\n<p><span class=\"token keyword\">import<\/span> ansys<span class=\"token punctuation\">.<\/span>fluent<span class=\"token punctuation\">.<\/span>core <span class=\"token keyword\">as<\/span> pyfluent<\/p>\n<p><span class=\"token comment\"># \u8fde\u63a5\u5230Fluent<\/span><\/p>\n<p>session <span class=\"token operator\">&#061;<\/span> pyfluent<span class=\"token punctuation\">.<\/span>launch_fluent<span class=\"token punctuation\">(<\/span>precision<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;double&#034;<\/span><span class=\"token punctuation\">,<\/span> processor_count<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> mode<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;solver&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8bfb\u53d6\u7f51\u683c\u6587\u4ef6<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>mesh<span class=\"token punctuation\">.<\/span>read<span class=\"token punctuation\">(<\/span>file_type<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;msh&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;combustion_chamber.msh&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h5>\u5b9a\u4e49\u6d41\u4f53\u5c5e\u6027<\/h5>\n<p>\u63a5\u4e0b\u6765&#xff0c;\u5b9a\u4e49\u71c3\u70e7\u5ba4\u5185\u7684\u6d41\u4f53\u5c5e\u6027&#xff0c;\u5982\u7a7a\u6c14\u7684\u5bc6\u5ea6\u548c\u7c98\u5ea6\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u6d41\u4f53\u5c5e\u6027<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>fluid<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;air&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;ideal-gas&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>materials<span class=\"token punctuation\">.<\/span>fluid<span class=\"token punctuation\">.<\/span>air<span class=\"token punctuation\">.<\/span>density <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1.225<\/span>  <span class=\"token comment\"># kg\/m^3<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>materials<span class=\"token punctuation\">.<\/span>fluid<span class=\"token punctuation\">.<\/span>air<span class=\"token punctuation\">.<\/span>viscosity <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1.81e-5<\/span>  <span class=\"token comment\"># Pa\u00b7s<\/span><\/p>\n<h5>\u5b9a\u4e49\u9897\u7c92\u5c5e\u6027<\/h5>\n<p>\u5b9a\u4e49\u7164\u7c89\u9897\u7c92\u7684\u5c5e\u6027&#xff0c;\u5305\u62ec\u76f4\u5f84\u3001\u5bc6\u5ea6\u548c\u521d\u59cb\u901f\u5ea6\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u9897\u7c92\u5c5e\u6027<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>materials<span class=\"token punctuation\">.<\/span>solid<span class=\"token punctuation\">.<\/span>coal<span class=\"token punctuation\">.<\/span>density <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1500<\/span>  <span class=\"token comment\"># kg\/m^3<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>materials<span class=\"token punctuation\">.<\/span>solid<span class=\"token punctuation\">.<\/span>coal<span class=\"token punctuation\">.<\/span>diameter <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span>  <span class=\"token comment\"># m<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>materials<span class=\"token punctuation\">.<\/span>solid<span class=\"token punctuation\">.<\/span>coal<span class=\"token punctuation\">.<\/span>initial_velocity <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># m\/s<\/span><\/p>\n<h5>\u9009\u62e9\u529b\u6a21\u578b<\/h5>\n<p>\u6839\u636e\u4eff\u771f\u9700\u6c42\u9009\u62e9\u66f3\u529b\u3001\u5347\u529b\u548c\u865a\u62df\u8d28\u91cf\u529b\u6a21\u578b\u3002<\/p>\n<p><span class=\"token comment\"># \u9009\u62e9\u529b\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>drag_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;standard&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>lift_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;feng&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>virtual_mass_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;standard&#034;<\/span><\/p>\n<h5>\u8bbe\u7f6e\u9897\u7c92\u6ce8\u5165<\/h5>\n<p>\u5b9a\u4e49\u9897\u7c92\u7684\u6ce8\u5165\u4f4d\u7f6e\u3001\u6ce8\u5165\u901f\u5ea6\u548c\u6ce8\u5165\u8d28\u91cf\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u9897\u7c92\u6ce8\u5165<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>diameter <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span>  <span class=\"token comment\"># m<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>density <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1500<\/span>  <span class=\"token comment\"># kg\/m^3<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>velocity <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># m\/s<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span>  <span class=\"token comment\"># kg\/s<\/span><\/p>\n<h5>\u5b9a\u4e49\u9897\u7c92\u4e0e\u8fde\u7eed\u76f8\u7684\u76f8\u4e92\u4f5c\u7528<\/h5>\n<p>\u8bbe\u7f6e\u9897\u7c92\u4e0e\u8fde\u7eed\u76f8\u4e4b\u95f4\u7684\u52a8\u91cf\u3001\u70ed\u91cf\u548c\u8d28\u91cf\u4ea4\u6362\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u9897\u7c92\u4e0e\u8fde\u7eed\u76f8\u7684\u76f8\u4e92\u4f5c\u7528<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>momentum_transfer <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>heat_transfer <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>mass_transfer <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<h5>\u8fd0\u884c\u4eff\u771f<\/h5>\n<p>\u8bbe\u7f6e\u6c42\u89e3\u5668\u53c2\u6570\u5e76\u8fd0\u884c\u4eff\u771f\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u6c42\u89e3\u5668\u53c2\u6570<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>solver<span class=\"token punctuation\">.<\/span>time<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;transient&#034;<\/span><span class=\"token punctuation\">,<\/span> time_step_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> time_steps<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1000<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8fd0\u884c\u4eff\u771f<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>solve<span class=\"token punctuation\">.<\/span>initialize<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>solve<span class=\"token punctuation\">.<\/span>iterate<span class=\"token punctuation\">(<\/span><span class=\"token number\">1000<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u7ed3\u679c\u5206\u6790<\/h4>\n<p>\u4eff\u771f\u5b8c\u6210\u540e&#xff0c;\u53ef\u4ee5\u901a\u8fc7Fluent\u7684\u540e\u5904\u7406\u529f\u80fd\u5206\u6790\u9897\u7c92\u7684\u8fd0\u52a8\u8f68\u8ff9\u3001\u901f\u5ea6\u3001\u6e29\u5ea6\u7b49\u53c2\u6570\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u540e\u5904\u7406\u793a\u4f8b\u3002<\/p>\n<p><span class=\"token comment\"># \u5bfc\u5165\u540e\u5904\u7406\u6a21\u5757<\/span><\/p>\n<p><span class=\"token keyword\">from<\/span> ansys<span class=\"token punctuation\">.<\/span>fluent<span class=\"token punctuation\">.<\/span>core <span class=\"token keyword\">import<\/span> post_processing <span class=\"token keyword\">as<\/span> pp<\/p>\n<p><span class=\"token comment\"># \u8bfb\u53d6\u4eff\u771f\u7ed3\u679c<\/span><\/p>\n<p>results <span class=\"token operator\">&#061;<\/span> pp<span class=\"token punctuation\">.<\/span>read_results<span class=\"token punctuation\">(<\/span>file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;combustion_chamber.rst&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u7ed8\u5236\u9897\u7c92\u8f68\u8ff9<\/span><\/p>\n<p>pp<span class=\"token punctuation\">.<\/span>plot_dpm_tracks<span class=\"token punctuation\">(<\/span>injection_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;injection_1&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;dpm_tracks.png&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u7ed8\u5236\u9897\u7c92\u901f\u5ea6\u5206\u5e03<\/span><\/p>\n<p>pp<span class=\"token punctuation\">.<\/span>plot_dpm_velocity<span class=\"token punctuation\">(<\/span>injection_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;injection_1&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;dpm_velocity.png&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u7ed8\u5236\u9897\u7c92\u6e29\u5ea6\u5206\u5e03<\/span><\/p>\n<p>pp<span class=\"token punctuation\">.<\/span>plot_dpm_temperature<span class=\"token punctuation\">(<\/span>injection_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;injection_1&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;dpm_temperature.png&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u4ee3\u7801\u89e3\u91ca<\/h4>\n<li>\n<p>\u51e0\u4f55\u6a21\u578b\u548c\u7f51\u683c&#xff1a;\u8fde\u63a5\u5230Fluent\u5e76\u8bfb\u53d6\u9884\u5148\u51c6\u5907\u597d\u7684\u7f51\u683c\u6587\u4ef6\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b9a\u4e49\u6d41\u4f53\u5c5e\u6027&#xff1a;\u8bbe\u7f6e\u7a7a\u6c14\u7684\u5bc6\u5ea6\u548c\u7c98\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b9a\u4e49\u9897\u7c92\u5c5e\u6027&#xff1a;\u8bbe\u7f6e\u7164\u7c89\u9897\u7c92\u7684\u5bc6\u5ea6\u3001\u76f4\u5f84\u548c\u521d\u59cb\u901f\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p>\u9009\u62e9\u529b\u6a21\u578b&#xff1a;\u9009\u62e9\u6807\u51c6\u66f3\u529b\u6a21\u578b\u3001Feng\u5347\u529b\u6a21\u578b\u548c\u6807\u51c6\u865a\u62df\u8d28\u91cf\u529b\u6a21\u578b\u3002<\/p>\n<\/li>\n<li>\n<p>\u8bbe\u7f6e\u9897\u7c92\u6ce8\u5165&#xff1a;\u5b9a\u4e49\u9897\u7c92\u4ece\u5165\u53e3\u5904\u6ce8\u5165&#xff0c;\u8bbe\u7f6e\u6ce8\u5165\u7684\u76f4\u5f84\u3001\u5bc6\u5ea6\u3001\u901f\u5ea6\u548c\u8d28\u91cf\u6d41\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b9a\u4e49\u9897\u7c92\u4e0e\u8fde\u7eed\u76f8\u7684\u76f8\u4e92\u4f5c\u7528&#xff1a;\u5f00\u542f\u52a8\u91cf\u3001\u70ed\u91cf\u548c\u8d28\u91cf\u4ea4\u6362\u3002<\/p>\n<\/li>\n<li>\n<p>\u8fd0\u884c\u4eff\u771f&#xff1a;\u8bbe\u7f6e\u6c42\u89e3\u5668\u53c2\u6570\u4e3a\u77ac\u6001\u4eff\u771f&#xff0c;\u8fd0\u884c1000\u4e2a\u65f6\u95f4\u6b65\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ed3\u679c\u5206\u6790&#xff1a;\u8bfb\u53d6\u4eff\u771f\u7ed3\u679c\u5e76\u7ed8\u5236\u9897\u7c92\u8f68\u8ff9\u3001\u901f\u5ea6\u548c\u6e29\u5ea6\u5206\u5e03\u56fe\u3002<\/p>\n<\/li>\n<h4>\u6ce8\u610f\u4e8b\u9879<\/h4>\n<li>\n<p>\u9897\u7c92\u76f4\u5f84\u548c\u5bc6\u5ea6&#xff1a;\u6839\u636e\u5b9e\u9645\u5e94\u7528\u9009\u62e9\u5408\u9002\u7684\u9897\u7c92\u76f4\u5f84\u548c\u5bc6\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p>\u529b\u6a21\u578b&#xff1a;\u6839\u636e\u9897\u7c92\u7684\u8fd0\u52a8\u7279\u6027\u548c\u4eff\u771f\u9700\u6c42\u9009\u62e9\u5408\u9002\u7684\u529b\u6a21\u578b\u3002<\/p>\n<\/li>\n<li>\n<p>\u6ce8\u5165\u53c2\u6570&#xff1a;\u786e\u4fdd\u6ce8\u5165\u53c2\u6570\u4e0e\u5b9e\u9645\u5de5\u51b5\u76f8\u7b26&#xff0c;\u4ee5\u83b7\u5f97\u51c6\u786e\u7684\u4eff\u771f\u7ed3\u679c\u3002<\/p>\n<\/li>\n<li>\n<p>\u7f51\u683c\u8d28\u91cf&#xff1a;\u7f51\u683c\u8d28\u91cf\u5bf9\u4eff\u771f\u7ed3\u679c\u6709\u663e\u8457\u5f71\u54cd&#xff0c;\u5efa\u8bae\u8fdb\u884c\u7f51\u683c\u72ec\u7acb\u6027\u7814\u7a76\u3002<\/p>\n<\/li>\n<h4>\u9ad8\u7ea7\u5e94\u7528<\/h4>\n<p>\u5728\u67d0\u4e9b\u590d\u6742\u7684\u5e94\u7528\u4e2d&#xff0c;\u53ef\u80fd\u9700\u8981\u81ea\u5b9a\u4e49\u529b\u6a21\u578b\u6216\u9897\u7c92\u5c5e\u6027\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u81ea\u5b9a\u4e49\u66f3\u529b\u7cfb\u6570\u7684\u4f8b\u5b50\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u81ea\u5b9a\u4e49\u66f3\u529b\u7cfb\u6570<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">custom_drag_coefficient<\/span><span class=\"token punctuation\">(<\/span>Re<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> Re <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0.1<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token number\">24<\/span> <span class=\"token operator\">\/<\/span> Re<\/p>\n<p>    <span class=\"token keyword\">elif<\/span> <span class=\"token number\">0.1<\/span> <span class=\"token operator\">&lt;&#061;<\/span> Re <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">1000<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token number\">24<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">0.15<\/span> <span class=\"token operator\">*<\/span> Re<span class=\"token operator\">**<\/span><span class=\"token number\">0.687<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> Re<\/p>\n<p>    <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0.44<\/span><\/p>\n<p><span class=\"token comment\"># \u5c06\u81ea\u5b9a\u4e49\u66f3\u529b\u7cfb\u6570\u5e94\u7528\u5230Fluent<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>drag_coefficient <span class=\"token operator\">&#061;<\/span> custom_drag_coefficient<\/p>\n<h4>\u603b\u7ed3<\/h4>\n<p>\u901a\u8fc7\u4ee5\u4e0a\u6b65\u9aa4&#xff0c;\u60a8\u53ef\u4ee5\u4f7f\u7528Fluent\u7684\u79bb\u6563\u76f8\u6a21\u578b&#xff08;DPM&#xff09;\u6a21\u62df\u9897\u7c92\u5728\u8fde\u7eed\u76f8\u4e2d\u7684\u8fd0\u52a8\u8f68\u8ff9\u3002DPM\u6a21\u578b\u5728\u8bb8\u591a\u5de5\u4e1a\u5e94\u7528\u4e2d\u975e\u5e38\u6709\u7528&#xff0c;\u901a\u8fc7\u5408\u7406\u8bbe\u7f6e\u9897\u7c92\u5c5e\u6027\u548c\u529b\u6a21\u578b&#xff0c;\u53ef\u4ee5\u83b7\u5f97\u51c6\u786e\u7684\u4eff\u771f\u7ed3\u679c\u3002\u5e0c\u671b\u672c\u8282\u5185\u5bb9\u5bf9\u60a8\u5728Fluent\u4e2d\u7684DPM\u6a21\u578b\u5e94\u7528\u6709\u6240\u5e2e\u52a9\u3002<\/p>\n<h3>\u79bb\u6563\u76f8\u6a21\u578b\u7684\u9ad8\u7ea7\u8bbe\u7f6e<\/h3>\n<p>\u5728Fluent\u4e2d&#xff0c;\u79bb\u6563\u76f8\u6a21\u578b&#xff08;DPM&#xff09;\u7684\u9ad8\u7ea7\u8bbe\u7f6e\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63d0\u9ad8\u4eff\u771f\u7684\u51c6\u786e\u6027\u548c\u6548\u7387\u3002\u8fd9\u4e9b\u8bbe\u7f6e\u5305\u62ec\u9897\u7c92\u7684\u7834\u788e\u548c\u805a\u5408\u3001\u9897\u7c92-\u9897\u7c92\u76f8\u4e92\u4f5c\u7528\u3001\u9897\u7c92-\u58c1\u9762\u76f8\u4e92\u4f5c\u7528\u7b49\u3002<\/p>\n<h4>\u9897\u7c92\u7684\u7834\u788e\u548c\u805a\u5408<\/h4>\n<p>\u5728\u67d0\u4e9b\u5e94\u7528\u4e2d&#xff0c;\u9897\u7c92\u53ef\u80fd\u4f1a\u53d1\u751f\u7834\u788e\u6216\u805a\u5408\u3002Fluent\u63d0\u4f9b\u4e86\u591a\u79cd\u6a21\u578b\u6765\u6a21\u62df\u8fd9\u4e9b\u73b0\u8c61&#xff0c;\u5982Rosin-Rammler\u7834\u788e\u6a21\u578b\u548c\u805a\u5408\u6a21\u578b\u3002<\/p>\n<h5>Rosin-Rammler\u7834\u788e\u6a21\u578b<\/h5>\n<p>Rosin-Rammler\u7834\u788e\u6a21\u578b\u7528\u4e8e\u63cf\u8ff0\u9897\u7c92\u7684\u7834\u788e\u8fc7\u7a0b\u3002\u6a21\u578b\u53c2\u6570\u5305\u62ec\u7834\u788e\u5e38\u6570\u548c\u5206\u5e03\u53c2\u6570\u3002\u8fd9\u4e9b\u53c2\u6570\u53ef\u4ee5\u57fa\u4e8e\u5b9e\u9a8c\u6570\u636e\u6216\u7406\u8bba\u8ba1\u7b97\u6765\u786e\u5b9a&#xff0c;\u4ee5\u786e\u4fdd\u6a21\u578b\u7684\u51c6\u786e\u6027\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6eRosin-Rammler\u7834\u788e\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>breakup_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;rosin-rammler&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>rosin_rammler_k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">10<\/span>  <span class=\"token comment\"># \u7834\u788e\u5e38\u6570<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>rosin_rammler_n <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span>  <span class=\"token comment\"># \u5206\u5e03\u53c2\u6570<\/span><\/p>\n<h5>\u805a\u5408\u6a21\u578b<\/h5>\n<p>\u805a\u5408\u6a21\u578b\u7528\u4e8e\u63cf\u8ff0\u9897\u7c92\u7684\u805a\u5408\u4f5c\u7528\u3002\u5e38\u89c1\u7684\u805a\u5408\u6a21\u578b\u5305\u62ecSmoluchowski\u6a21\u578b\u548c\u79bb\u6563\u9897\u7c92\u6a21\u578b\u3002\u8fd9\u4e9b\u6a21\u578b\u53ef\u4ee5\u5e2e\u52a9\u6a21\u62df\u9897\u7c92\u5728\u6c14\u6d41\u6216\u6db2\u6d41\u4e2d\u7684\u56e2\u805a\u73b0\u8c61\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6eSmoluchowski\u805a\u5408\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>coalescence_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;smoluchowski&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>smoluchowski_k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.5<\/span>  <span class=\"token comment\"># \u805a\u5408\u5e38\u6570<\/span><\/p>\n<h4>\u9897\u7c92-\u9897\u7c92\u76f8\u4e92\u4f5c\u7528<\/h4>\n<p>\u5728\u591a\u9897\u7c92\u7cfb\u7edf\u4e2d&#xff0c;\u9897\u7c92\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u5bf9\u4eff\u771f\u7ed3\u679c\u6709\u91cd\u8981\u5f71\u54cd\u3002Fluent\u63d0\u4f9b\u4e86\u591a\u79cd\u6a21\u578b\u6765\u6a21\u62df\u9897\u7c92-\u9897\u7c92\u76f8\u4e92\u4f5c\u7528&#xff0c;\u5982\u5f39\u6027\u78b0\u649e\u6a21\u578b\u548c\u7c98\u6027\u78b0\u649e\u6a21\u578b\u3002<\/p>\n<h5>\u5f39\u6027\u78b0\u649e\u6a21\u578b<\/h5>\n<p>\u5f39\u6027\u78b0\u649e\u6a21\u578b\u5047\u8bbe\u9897\u7c92\u4e4b\u95f4\u7684\u78b0\u649e\u662f\u5b8c\u5168\u5f39\u6027\u7684&#xff0c;\u6ca1\u6709\u80fd\u91cf\u635f\u5931\u3002\u8fd9\u79cd\u6a21\u578b\u9002\u7528\u4e8e\u9897\u7c92\u95f4\u78b0\u649e\u9891\u7e41\u4f46\u6ca1\u6709\u660e\u663e\u7c98\u9644\u7684\u60c5\u51b5\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u5f39\u6027\u78b0\u649e\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>particle_particle_interactions <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>collision_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;elastic&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>elastic_collision_coefficient <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.8<\/span>  <span class=\"token comment\"># \u78b0\u649e\u7cfb\u6570<\/span><\/p>\n<h5>\u7c98\u6027\u78b0\u649e\u6a21\u578b<\/h5>\n<p>\u7c98\u6027\u78b0\u649e\u6a21\u578b\u5047\u8bbe\u9897\u7c92\u4e4b\u95f4\u7684\u78b0\u649e\u662f\u7c98\u6027\u7684&#xff0c;\u6709\u80fd\u91cf\u635f\u5931\u3002\u8fd9\u79cd\u6a21\u578b\u9002\u7528\u4e8e\u9897\u7c92\u95f4\u5bb9\u6613\u53d1\u751f\u7c98\u9644\u7684\u60c5\u51b5&#xff0c;\u5982\u6e7f\u9897\u7c92\u7cfb\u7edf\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u7c98\u6027\u78b0\u649e\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>collision_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;viscous&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>viscous_collision_coefficient <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.5<\/span>  <span class=\"token comment\"># \u78b0\u649e\u7cfb\u6570<\/span><\/p>\n<h4>\u9897\u7c92-\u58c1\u9762\u76f8\u4e92\u4f5c\u7528<\/h4>\n<p>\u9897\u7c92\u4e0e\u58c1\u9762\u7684\u76f8\u4e92\u4f5c\u7528\u4e5f\u662fDPM\u6a21\u578b\u4e2d\u9700\u8981\u8003\u8651\u7684\u91cd\u8981\u56e0\u7d20\u3002Fluent\u63d0\u4f9b\u4e86\u591a\u79cd\u6a21\u578b\u6765\u6a21\u62df\u9897\u7c92-\u58c1\u9762\u76f8\u4e92\u4f5c\u7528&#xff0c;\u5982\u5f39\u6027\u53cd\u5f39\u6a21\u578b\u548c\u7c98\u9644\u6a21\u578b\u3002<\/p>\n<h5>\u5f39\u6027\u53cd\u5f39\u6a21\u578b<\/h5>\n<p>\u5f39\u6027\u53cd\u5f39\u6a21\u578b\u5047\u8bbe\u9897\u7c92\u4e0e\u58c1\u9762\u78b0\u649e\u540e\u4f1a\u4ee5\u4e00\u5b9a\u7684\u53cd\u5f39\u7cfb\u6570\u53cd\u5f39\u3002\u53cd\u5f39\u7cfb\u6570\u7684\u8bbe\u7f6e\u53ef\u4ee5\u6839\u636e\u5b9e\u9645\u5de5\u51b5\u8fdb\u884c\u8c03\u6574&#xff0c;\u4ee5\u6a21\u62df\u4e0d\u540c\u7684\u58c1\u9762\u7279\u6027\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u5f39\u6027\u53cd\u5f39\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>wall_interactions <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>wall_rebound_coefficient <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.9<\/span>  <span class=\"token comment\"># \u53cd\u5f39\u7cfb\u6570<\/span><\/p>\n<h5>\u7c98\u9644\u6a21\u578b<\/h5>\n<p>\u7c98\u9644\u6a21\u578b\u5047\u8bbe\u9897\u7c92\u4e0e\u58c1\u9762\u78b0\u649e\u540e\u4f1a\u7c98\u9644\u5728\u58c1\u9762\u4e0a\u3002\u8fd9\u79cd\u6a21\u578b\u9002\u7528\u4e8e\u9897\u7c92\u5bb9\u6613\u5728\u58c1\u9762\u4e0a\u6c89\u79ef\u7684\u60c5\u51b5&#xff0c;\u5982\u6c14\u56fa\u5206\u79bb\u8fc7\u7a0b\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u7c98\u9644\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>wall_interactions <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>wall_adhesion_model <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;adhesion&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>wall_adhesion_coefficient <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.5<\/span>  <span class=\"token comment\"># \u7c98\u9644\u7cfb\u6570<\/span><\/p>\n<h4>\u9897\u7c92\u8f68\u8ff9\u8ffd\u8e2a\u7684\u4f18\u5316<\/h4>\n<p>\u4e3a\u4e86\u63d0\u9ad8\u9897\u7c92\u8f68\u8ff9\u8ffd\u8e2a\u7684\u6548\u7387&#xff0c;Fluent\u63d0\u4f9b\u4e86\u591a\u79cd\u4f18\u5316\u65b9\u6cd5&#xff0c;\u5982\u81ea\u9002\u5e94\u65f6\u95f4\u6b65\u957f\u548c\u5e76\u884c\u8ba1\u7b97\u3002<\/p>\n<h5>\u81ea\u9002\u5e94\u65f6\u95f4\u6b65\u957f<\/h5>\n<p>\u81ea\u9002\u5e94\u65f6\u95f4\u6b65\u957f\u53ef\u4ee5\u6839\u636e\u9897\u7c92\u7684\u8fd0\u52a8\u72b6\u6001\u81ea\u52a8\u8c03\u6574\u65f6\u95f4\u6b65\u957f&#xff0c;\u4ee5\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u3002\u8fd9\u5bf9\u4e8e\u8fd0\u52a8\u72b6\u6001\u53d8\u5316\u8f83\u5927\u7684\u9897\u7c92\u5c24\u5176\u91cd\u8981\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u81ea\u9002\u5e94\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>adaptive_time_step <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>min_time_step <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">6<\/span>  <span class=\"token comment\"># \u6700\u5c0f\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>max_time_step <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">3<\/span>  <span class=\"token comment\"># \u6700\u5927\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n<h5>\u5e76\u884c\u8ba1\u7b97<\/h5>\n<p>\u5e76\u884c\u8ba1\u7b97\u53ef\u4ee5\u5728\u591a\u4e2a\u5904\u7406\u5668\u4e0a\u540c\u65f6\u8fdb\u884c\u4eff\u771f&#xff0c;\u663e\u8457\u63d0\u9ad8\u8ba1\u7b97\u901f\u5ea6\u3002\u8fd9\u5bf9\u4e8e\u5927\u578b\u4eff\u771f\u95ee\u9898\u6216\u9700\u8981\u9ad8\u5206\u8fa8\u7387\u7f51\u683c\u7684\u4eff\u771f\u5c24\u4e3a\u91cd\u8981\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u5e76\u884c\u8ba1\u7b97<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>solver<span class=\"token punctuation\">.<\/span>parallel<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;yes&#034;<\/span><span class=\"token punctuation\">,<\/span> num_processors<span class=\"token operator\">&#061;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># \u4f7f\u75284\u4e2a\u5904\u7406\u5668<\/span><\/p>\n<h4>\u9897\u7c92\u8f68\u8ff9\u7684\u540e\u5904\u7406<\/h4>\n<p>Fluent\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u540e\u5904\u7406\u529f\u80fd&#xff0c;\u53ef\u4ee5\u8be6\u7ec6\u5206\u6790\u9897\u7c92\u7684\u8fd0\u52a8\u8f68\u8ff9\u3001\u901f\u5ea6\u3001\u6e29\u5ea6\u7b49\u53c2\u6570\u3002<\/p>\n<h5>\u7ed8\u5236\u9897\u7c92\u8f68\u8ff9<\/h5>\n<p>\u901a\u8fc7\u7ed8\u5236\u9897\u7c92\u8f68\u8ff9\u56fe&#xff0c;\u53ef\u4ee5\u76f4\u89c2\u5730\u89c2\u5bdf\u9897\u7c92\u7684\u8fd0\u52a8\u8def\u5f84\u548c\u5206\u5e03\u60c5\u51b5\u3002<\/p>\n<p><span class=\"token comment\"># \u7ed8\u5236\u9897\u7c92\u8f68\u8ff9<\/span><\/p>\n<p>pp<span class=\"token punctuation\">.<\/span>plot_dpm_tracks<span class=\"token punctuation\">(<\/span>injection_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;injection_1&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;dpm_tracks.png&#034;<\/span><span class=\"token punctuation\">,<\/span> show<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h5>\u7ed8\u5236\u9897\u7c92\u901f\u5ea6\u5206\u5e03<\/h5>\n<p>\u7ed8\u5236\u9897\u7c92\u901f\u5ea6\u5206\u5e03\u56fe\u53ef\u4ee5\u5e2e\u52a9\u5206\u6790\u9897\u7c92\u5728\u4e0d\u540c\u4f4d\u7f6e\u7684\u901f\u5ea6\u53d8\u5316&#xff0c;\u4ece\u800c\u8bc4\u4f30\u4eff\u771f\u7ed3\u679c\u7684\u5408\u7406\u6027\u3002<\/p>\n<p><span class=\"token comment\"># \u7ed8\u5236\u9897\u7c92\u901f\u5ea6\u5206\u5e03<\/span><\/p>\n<p>pp<span class=\"token punctuation\">.<\/span>plot_dpm_velocity<span class=\"token punctuation\">(<\/span>injection_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;injection_1&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;dpm_velocity.png&#034;<\/span><span class=\"token punctuation\">,<\/span> show<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h5>\u7ed8\u5236\u9897\u7c92\u6e29\u5ea6\u5206\u5e03<\/h5>\n<p>\u7ed8\u5236\u9897\u7c92\u6e29\u5ea6\u5206\u5e03\u56fe\u53ef\u4ee5\u5206\u6790\u9897\u7c92\u5728\u8fde\u7eed\u76f8\u4e2d\u7684\u6e29\u5ea6\u53d8\u5316&#xff0c;\u8fd9\u5bf9\u4e8e\u71c3\u70e7\u8fc7\u7a0b\u7684\u4eff\u771f\u5c24\u4e3a\u91cd\u8981\u3002<\/p>\n<p><span class=\"token comment\"># \u7ed8\u5236\u9897\u7c92\u6e29\u5ea6\u5206\u5e03<\/span><\/p>\n<p>pp<span class=\"token punctuation\">.<\/span>plot_dpm_temperature<span class=\"token punctuation\">(<\/span>injection_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;injection_1&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;dpm_temperature.png&#034;<\/span><span class=\"token punctuation\">,<\/span> show<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u81ea\u5b9a\u4e49\u529b\u6a21\u578b<\/h4>\n<p>\u5728\u67d0\u4e9b\u590d\u6742\u7684\u5e94\u7528\u4e2d&#xff0c;\u53ef\u80fd\u9700\u8981\u81ea\u5b9a\u4e49\u529b\u6a21\u578b\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u81ea\u5b9a\u4e49\u66f3\u529b\u7cfb\u6570\u7684\u4f8b\u5b50\u3002\u81ea\u5b9a\u4e49\u529b\u6a21\u578b\u53ef\u4ee5\u6839\u636e\u5177\u4f53\u7684\u7269\u7406\u73b0\u8c61\u548c\u5b9e\u9a8c\u6570\u636e\u8fdb\u884c\u8c03\u6574&#xff0c;\u4ee5\u63d0\u9ad8\u4eff\u771f\u7684\u51c6\u786e\u6027\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u81ea\u5b9a\u4e49\u66f3\u529b\u7cfb\u6570<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">custom_drag_coefficient<\/span><span class=\"token punctuation\">(<\/span>Re<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> Re <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">0.1<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token number\">24<\/span> <span class=\"token operator\">\/<\/span> Re<\/p>\n<p>    <span class=\"token keyword\">elif<\/span> <span class=\"token number\">0.1<\/span> <span class=\"token operator\">&lt;&#061;<\/span> Re <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">1000<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token number\">24<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">0.15<\/span> <span class=\"token operator\">*<\/span> Re<span class=\"token operator\">**<\/span><span class=\"token number\">0.687<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> Re<\/p>\n<p>    <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0.44<\/span><\/p>\n<p><span class=\"token comment\"># \u5c06\u81ea\u5b9a\u4e49\u66f3\u529b\u7cfb\u6570\u5e94\u7528\u5230Fluent<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>drag_coefficient <span class=\"token operator\">&#061;<\/span> custom_drag_coefficient<\/p>\n<h4>\u9897\u7c92\u5c5e\u6027\u7684\u52a8\u6001\u53d8\u5316<\/h4>\n<p>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b&#xff0c;\u9897\u7c92\u7684\u5c5e\u6027&#xff08;\u5982\u76f4\u5f84\u3001\u5bc6\u5ea6&#xff09;\u53ef\u80fd\u4f1a\u968f\u65f6\u95f4\u52a8\u6001\u53d8\u5316\u3002Fluent\u652f\u6301\u8fd9\u4e9b\u52a8\u6001\u53d8\u5316\u7684\u8bbe\u7f6e&#xff0c;\u53ef\u4ee5\u6a21\u62df\u9897\u7c92\u5728\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u7684\u7269\u7406\u53d8\u5316\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u9897\u7c92\u76f4\u5f84\u968f\u65f6\u95f4\u53d8\u5316\u7684\u51fd\u6570<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">dynamic_diameter<\/span><span class=\"token punctuation\">(<\/span>t<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span> <span class=\"token operator\">*<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">&#8211;<\/span> t <span class=\"token operator\">\/<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u5e94\u7528\u52a8\u6001\u76f4\u5f84<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>dynamic_diameter <span class=\"token operator\">&#061;<\/span> dynamic_diameter<\/p>\n<h4>\u591a\u76f8\u6d41\u7684\u590d\u6742\u5e94\u7528<\/h4>\n<p>\u5728\u591a\u76f8\u6d41\u7684\u5e94\u7528\u4e2d&#xff0c;\u53ef\u80fd\u9700\u8981\u8003\u8651\u591a\u4e2a\u79bb\u6563\u76f8\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u591a\u76f8\u6d41\u7684\u8bbe\u7f6e\u793a\u4f8b\u3002<\/p>\n<h5>\u5b9a\u4e49\u591a\u4e2a\u79bb\u6563\u76f8<\/h5>\n<p>\u5b9a\u4e49\u591a\u4e2a\u79bb\u6563\u76f8\u65f6&#xff0c;\u9700\u8981\u4e3a\u6bcf\u4e2a\u76f8\u8bbe\u7f6e\u4e0d\u540c\u7684\u5c5e\u6027&#xff0c;\u5982\u5bc6\u5ea6\u3001\u76f4\u5f84\u548c\u521d\u59cb\u901f\u5ea6\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u591a\u4e2a\u79bb\u6563\u76f8<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;multiple&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>add_particle_type<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;coal_1&#034;<\/span><span class=\"token punctuation\">,<\/span> density<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1500<\/span><span class=\"token punctuation\">,<\/span> diameter<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> initial_velocity<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>add_particle_type<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;coal_2&#034;<\/span><span class=\"token punctuation\">,<\/span> density<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1200<\/span><span class=\"token punctuation\">,<\/span> diameter<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> initial_velocity<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h5>\u8bbe\u7f6e\u591a\u4e2a\u6ce8\u5165\u70b9<\/h5>\n<p>\u8bbe\u7f6e\u591a\u4e2a\u6ce8\u5165\u70b9\u65f6&#xff0c;\u9700\u8981\u4e3a\u6bcf\u4e2a\u6ce8\u5165\u70b9\u6307\u5b9a\u76f8\u5e94\u7684\u79bb\u6563\u76f8\u7c7b\u578b\u3001\u6ce8\u5165\u4f4d\u7f6e\u3001\u6ce8\u5165\u901f\u5ea6\u548c\u6ce8\u5165\u8d28\u91cf\u3002<\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u591a\u4e2a\u6ce8\u5165\u70b9<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet_1&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;coal_1&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet_2&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;coal_2&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><\/p>\n<h4>\u9897\u7c92\u8f68\u8ff9\u8ffd\u8e2a\u7684\u590d\u6742\u6761\u4ef6<\/h4>\n<p>\u5728\u67d0\u4e9b\u590d\u6742\u7684\u5e94\u7528\u4e2d&#xff0c;\u9897\u7c92\u7684\u8fd0\u52a8\u8f68\u8ff9\u53ef\u80fd\u53d7\u5230\u591a\u79cd\u56e0\u7d20\u7684\u5f71\u54cd&#xff0c;\u5982\u591a\u76f8\u6d41\u3001\u590d\u6742\u51e0\u4f55\u7ed3\u6784\u3001\u591a\u7269\u7406\u573a\u8026\u5408\u7b49\u3002Fluent\u63d0\u4f9b\u4e86\u591a\u79cd\u5de5\u5177\u548c\u65b9\u6cd5\u6765\u5904\u7406\u8fd9\u4e9b\u590d\u6742\u6761\u4ef6&#xff0c;\u786e\u4fdd\u4eff\u771f\u7ed3\u679c\u7684\u51c6\u786e\u6027\u3002<\/p>\n<h5>\u591a\u76f8\u6d41<\/h5>\n<p>\u5728\u591a\u76f8\u6d41\u4e2d&#xff0c;\u591a\u4e2a\u79bb\u6563\u76f8\u548c\u8fde\u7eed\u76f8\u7684\u76f8\u4e92\u4f5c\u7528\u9700\u8981\u4ed4\u7ec6\u8bbe\u7f6e\u3002\u53ef\u4ee5\u901a\u8fc7\u5b9a\u4e49\u591a\u4e2a\u79bb\u6563\u76f8\u7c7b\u578b\u548c\u76f8\u5e94\u7684\u6ce8\u5165\u53c2\u6570\u6765\u5b9e\u73b0\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u591a\u4e2a\u79bb\u6563\u76f8<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;multiple&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>add_particle_type<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;coal_1&#034;<\/span><span class=\"token punctuation\">,<\/span> density<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1500<\/span><span class=\"token punctuation\">,<\/span> diameter<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> initial_velocity<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>add_particle_type<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;coal_2&#034;<\/span><span class=\"token punctuation\">,<\/span> density<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1200<\/span><span class=\"token punctuation\">,<\/span> diameter<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2e<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> initial_velocity<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u591a\u4e2a\u6ce8\u5165\u70b9<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet_1&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;coal_1&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet_2&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;coal_2&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><\/p>\n<h5>\u590d\u6742\u51e0\u4f55\u7ed3\u6784<\/h5>\n<p>\u5bf9\u4e8e\u590d\u6742\u7684\u51e0\u4f55\u7ed3\u6784&#xff0c;\u9700\u8981\u8fdb\u884c\u8be6\u7ec6\u7684\u7f51\u683c\u5212\u5206\u548c\u8fb9\u754c\u6761\u4ef6\u8bbe\u7f6e&#xff0c;\u4ee5\u786e\u4fdd\u4eff\u771f\u7ed3\u679c\u7684\u51c6\u786e\u6027\u3002<\/p>\n<p><span class=\"token comment\"># \u8bfb\u53d6\u590d\u6742\u51e0\u4f55\u7ed3\u6784\u7684\u7f51\u683c\u6587\u4ef6<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>mesh<span class=\"token punctuation\">.<\/span>read<span class=\"token punctuation\">(<\/span>file_type<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;msh&#034;<\/span><span class=\"token punctuation\">,<\/span> file_name<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;complex_geometry.msh&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u8fb9\u754c\u6761\u4ef6<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet_1&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;coal_1&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_1<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>injection_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;surface&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>surface <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;inlet_2&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>particle_type <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;coal_2&#034;<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>boundary_conditions<span class=\"token punctuation\">.<\/span>dpm<span class=\"token punctuation\">.<\/span>injection<span class=\"token punctuation\">.<\/span>injection_2<span class=\"token punctuation\">.<\/span>mass_flow_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><\/p>\n<h5>\u591a\u7269\u7406\u573a\u8026\u5408<\/h5>\n<p>\u5728\u591a\u7269\u7406\u573a\u8026\u5408\u4e2d&#xff0c;\u9897\u7c92\u7684\u8fd0\u52a8\u4e0d\u4ec5\u53d7\u5230\u6d41\u573a\u7684\u5f71\u54cd&#xff0c;\u8fd8\u53ef\u80fd\u53d7\u5230\u70ed\u573a\u3001\u7535\u573a\u7b49\u5176\u4ed6\u7269\u7406\u573a\u7684\u5f71\u54cd\u3002\u9700\u8981\u8bbe\u7f6e\u76f8\u5e94\u7684\u7269\u7406\u573a\u6a21\u578b\u5e76\u8fdb\u884c\u8026\u5408\u4eff\u771f\u3002<\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u70ed\u573a\u6a21\u578b<\/span><\/p>\n<p>session<span class=\"token punctuation\">.<\/span>setup<span class=\"token punctuation\">.<\/span>models<span class=\"token punctuation\">.<\/span>thermal<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;on&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>session<span class=\"token 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