{"id":933,"date":"2025-10-21T15:58:39","date_gmt":"2025-10-21T07:58:39","guid":{"rendered":"https:\/\/guagefangzhen.cn\/?p=933"},"modified":"2025-12-05T14:40:15","modified_gmt":"2025-12-05T06:40:15","slug":"%e6%8a%8a%e7%83%ad%e7%a9%ba%e6%b0%94%e4%b8%8a%e5%8d%87%e6%90%ac%e8%bf%9b%e7%94%b5%e8%84%91%ef%bc%9a%e4%b8%80%e7%af%87%e5%bd%bb%e5%ba%95%e8%ae%b2%e9%80%8f%e7%9a%84-comsol-%e5%b8%83","status":"publish","type":"post","link":"https:\/\/guagefangzhen.cn\/?p=933","title":{"rendered":"\u628a\u201c\u70ed\u7a7a\u6c14\u4e0a\u5347\u201d\u642c\u8fdb\u7535\u8111\uff1a\u4e00\u7bc7\u5f7b\u5e95\u8bb2\u900f\u7684 COMSOL \u5e03\u8f9b\u6d85\u53f8\u514b\u5b9e\u6218\u7b14\u8bb0"},"content":{"rendered":"\n

\u4e00\u3001\u751f\u6d3b\u91cc\u7684\u5e03\u8f9b\u6d85\u53f8\u514b\u2014\u2014\u201c\u70ed\u7a7a\u6c14\u51ed\u4ec0\u4e48\u5f80\u4e0a\u98d8\uff1f\u201d<\/h2>\n\n\n\n

\u51ac\u5929\u8f66\u91cc\u5f00\u7a7a\u8c03\uff0c\u70ed\u6c14\u201c\u547c\u201d\u5730\u6d8c\u51fa\uff0c\u51b7\u7a7a\u6c89\u5e95\uff0c\u70ed\u6d6e\u4e0a\u5347\uff0c\u77ac\u95f4\u5f62\u6210\u770b\u4e0d\u89c1\u7684\u5c0f\u65cb\u98ce\u2014\u2014\u8fd9\u5c31\u662f\u81ea\u7136\u5bf9\u6d41<\/strong>\u3002 \u628a\u7a7a\u6c14\u60f3\u6210\u4e00\u5806\u5c0f\u781d\u7801\uff1a\u6e29\u5ea6\u9ad8\u2192\u5bc6\u5ea6\u5c0f\u2192\u781d\u7801\u8f7b\u2192\u91cd\u529b\u62c9\u4e0d\u4f4f\uff0c\u4e8e\u662f\u201c\u8f7b\u201d\u7a7a\u6c14\u4e0a\u6d6e\uff0c\u201c\u91cd\u201d\u7a7a\u6c14\u4e0b\u6c89\uff0c\u5faa\u73af\u5f80\u590d\u3002<\/p>\n\n\n\n

\u53ef\u95ee\u9898\u6765\u4e86\uff1a\u5bc6\u5ea6\u660e\u660e\u5728\u53d8\uff0c\u4e3a\u4ec0\u4e48\u5927\u591a\u6570\u4eff\u771f\u6562\u628a \u03c1 \u5f53\u5e38\u6570\uff1f \u7b54\u6848\u5c31\u662f\u5e03\u8f9b\u6d85\u53f8\u514b\u8fd1\u4f3c\uff08Boussinesq approximation\uff0c1903\u21922025\uff09<\/strong>\uff1a<\/p>\n\n\n\n

\u201c\u628a\u70ed\u80c0\u51b7\u7f29\u53ea\u7559\u7ed9\u6d6e\u529b\uff0c\u5176\u4f59\u4e00\u5f8b\u5ffd\u7565\u4e0d\u8ba1\u3002\u201d<\/p>\n\n\n\n

\u6570\u5b66\u4e0a\u53ea\u6709\u4e24\u884c\uff1a
\u03c1=\u03c1\u2080\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003(\u9664\u91cd\u529b\u9879\u5916)
\u03c1\uff1d\u03c1\u2080[1\u2013\u03b2(T\u2013T\u2080)]\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003(\u53ea\u5728\u4f53\u79ef\u529b\u9879)<\/p>\n\n\n\n

\u53ea\u8981\u6e29\u5dee\u4e0d\u5927\uff08\u901a\u5e38 \u00b115 \u2103 \u4ee5\u5185\uff09\uff0c\u5b83\u65e2\u7701\u8ba1\u7b97\u91cf\uff0c\u53c8\u4e0d\u5931\u7cbe\u5ea6<\/p>\n\n\n\n

\u4e8c\u3001COMSOL \u5b98\u65b9\u6848\u4f8b 5 \u6b65\u590d\u73b0<\/h2>\n\n\n\n

\u6848\u4f8b\u5e93\u8def\u5f84\uff1aCOMSOL_Multiphysics\/Multiphysics\/free_convection<\/strong><\/p>\n\n\n\n

\u6b65\u9aa4<\/th>\u5173\u952e\u64cd\u4f5c<\/th>2025 \u7248\u5c0f\u8d34\u58eb<\/th><\/tr><\/thead>
Step 0 \u51c6\u5907<\/td>2D \u25b8 \u5355\u76f8\u6d41\u5c42\u6d41 + \u6d41\u4f53\u4f20\u70ed \u25b8 \u7a33\u6001<\/td>\u65b0\u5efa\u65f6\u76f4\u63a5\u641c\u201cnon-isothermal\u201d\u66f4\u5feb<\/td><\/tr>
Step 1 \u6750\u6599<\/td>\u9009 Water, liquid<\/td>\u60f3\u73a9\u7a7a\u6c14\u5c31\u641c Air, \u03b2=3.4\u00d710\u207b\u00b3 K\u207b\u00b9<\/td><\/tr>
Step 2 \u5f00 Boussinesq<\/td>\u5c42\u6d41\u25b8\u6d41\u4f53\u5c5e\u6027\u25b8\u2611 \u4f7f\u7528\u5e03\u8f9b\u6d85\u53f8\u514b\u8fd1\u4f3c<\/td>6.3 \u8d77\u652f\u6301 LES\/DES \u540c\u65f6\u52fe\u201c\u5f31\u53ef\u538b\u7f29\u201d<\/td><\/tr>
Step 3 \u7ed9\u53c2\u6570<\/td>\u03c1\u2080=1000 kg m\u207b\u00b3, T\u2080=298 K, \u03b2=2.07\u00d710\u207b\u2074 K\u207b\u00b9<\/td>\u586b\u5b8c\u70b9\u201c\u521b\u5efa\u5c5e\u6027\u7ec4\u201d\uff0c\u4e0b\u6b21\u76f4\u63a5\u62d6<\/td><\/tr>
Step 4 \u8fb9\u754c<\/td>\u5de6\u53f3\u6052\u6e29\uff0c\u4e0a\u4e0b\u70ed\u7edd\u7f18\uff0c\u56db\u58c1\u65e0\u6ed1\u79fb<\/td>\u6e29\u5ea6\u53ef Ctrl+C\/V \u6279\u91cf\u8d34<\/td><\/tr>
Step 5 \u7f51\u683c\u8ba1\u7b97<\/td>\u7269\u7406\u573a\u63a7\u5236\u7f51\u683c Normal<\/td>i7-1360P 20 s \u6536\u655b\uff0cu_max=0.0032 m s\u207b\u00b9\uff0c\u6587\u732e 0.0033\uff0c\u8bef\u5dee <4 %<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u4e09\u3001\u5de5\u4e1a\u7ea7\u573a\u666f\u2014\u2014\u201c\u8001\u677f\u4e3a\u4ec0\u4e48\u80af\u82b1\u94b1\u505a\u4eff\u771f\uff1f\u201d<\/h2>\n\n\n\n
    \n
  1. 200 W LED \u8def\u706f<\/strong> \u94dd\u57fa\u677f\u7ad6\u76f4\u88c5\uff0c\u81ea\u7136\u5bf9\u6d41\u80fd\u5426\u628a\u7ed3\u6e29\u538b\u5230 85 \u2103\uff1f Boussinesq 2 h \u7b97\u5b8c\uff0c\u53d1\u73b0\u8fd8\u5dee 7 \u2103\uff0c\u679c\u65ad\u52a0\u98ce\u6247\uff0c\u5c11\u6253 3 \u8f6e\u6837\uff0c\u7701\u4e0b 2 \u4e07\u5143\u624b\u677f\u8d39\u3002<\/li>\n\n\n\n
  2. \u50a8\u80fd\u7535\u6c60\u5305\u9759\u7f6e\u51b7\u5374<\/strong> \u505c\u7535\u68c0\u4fee\uff0c\u7535\u6c60\u4ecd\u5728\u53d1\u70ed\u3002\u7ad6\u76f4\u7535\u6c60\u677f + \u7a7a\u6c14\u901a\u9053\uff0c\u4eff\u771f\u9a8c\u8bc1\u6700\u9ad8\u6e29\u5ea6\u662f\u5426\u89e6\u78b0 60 \u2103 \u7ea2\u7ebf\uff0c\u6307\u5bfc\u5b89\u5168\u95f4\u8ddd\uff0c\u907f\u514d\u201c\u70ed\u5931\u63a7\u201d\u3002<\/li>\n\n\n\n
  3. \u5bb6\u7528\u51b0\u7bb1\u540e\u80cc\u51b7\u51dd\u5668<\/strong> \u53d6\u6d88\u98ce\u6247\u3001\u5168\u9760\u81ea\u7136\u5bf9\u6d41\uff0c\u7ba1\u8def\u5982\u4f55\u6392\u5e03\u624d\u80fd\u6700\u5927\u5316\u6362\u70ed\uff1f \u53c2\u6570\u5316\u626b\u63cf 5 \u5957\u65b9\u6848\uff0c\u4e00\u5468\u7ed9\u51fa\u6700\u4f18\u7fc5\u7247\u95f4\u8ddd 7 mm<\/strong>\uff0c\u6bd4\u4f20\u7edf\u8bd5\u9a8c\u8282\u7701 60 % \u6210\u672c\u3002<\/li>\n<\/ol>\n\n\n\n

    \u56db\u30012025 \u7248\u907f\u5751\u5927\u5168\u2014\u2014\u201c\u7ffb\u8f66\u7978\u573a\u201d\u901f\u67e5<\/h2>\n\n\n\n
    \u7ffb\u8f66\u73b0\u573a<\/th>\u6839\u6e90<\/th>\u4e00\u773c\u5224\u65ad<\/th>\u6b63\u786e\u59ff\u52bf<\/th><\/tr><\/thead>
    \u70ed\u6c34\u7bb1 80\u219220 \u2103<\/td>\u03b2\u0394T\u22480.17\uff0c\u5bc6\u5ea6\u6389 17 %<\/td>\u8d28\u91cf\u5b88\u6052\u201c\u6f0f\u201d17 %<\/td>\u6539\u7528\u201c\u5f31\u53ef\u538b\u7f29\u201d\u6216\u5206\u6bb5 \u03b2<\/td><\/tr>
    \u6570\u636e\u4e2d\u5fc3\u51ac\u5b63\u8282\u80fd<\/td>\u5ba4\u5185\u5916 \u201330 \u2103\/25 \u2103\uff0c\u03b2\u0394T=0.19<\/td>\u8fc7\u70ed\u98ce\u9669\u4f4e\u4f30 15 %<\/td>DES+\u5168\u53ef\u538b\u7f29\uff0cBoussinesq \u4ec5\u505a\u521d\u573a<\/td><\/tr>
    \u5fae\u91cd\u529b\u5bf9\u6d41<\/td>\u6b8b\u4f59\u91cd\u529b 10\u207b\u2074 g<\/td>\u6a21\u62df\u96f6\u6d41\u52a8\uff0c\u5b9e\u9a8c\u5374\u6709\u5bf9\u6d41<\/td>\u5173\u95ed\u8fd1\u4f3c\uff0c\u624b\u586b g\u2192(x,y,z)<\/td><\/tr>
    \u76d0\/\u70ed\u53cc\u6269\u6563<\/td>\u6d53\u5ea6 \u03b2c \u4e0e \u03b2T \u540c\u91cf\u7ea7<\/td>\u754c\u9762\u504f\u5dee 30 %<\/td>\u628a \u03b2c \u5408\u5e76\u4e3a\u6709\u6548 \u03b2 \u6216\u76f4\u63a5\u53ef\u53d8\u5bc6\u5ea6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    \u4e94\u3001\u8fdb\u9636\u73a9\u6cd5\uff1a\u81ea\u9002\u5e94 <\/h2>\n\n\n\n

    Study \u25b8 \u2611 \u81ea\u9002\u5e94\u5e03\u8f9b\u6d85\u53f8\u514b \u9608\u503c 0.08\uff08\u2248\u5bc6\u5ea6\u53d8\u5316 8 %\uff09 \u6bcf\u6b65\u81ea\u52a8\u8bc4\u4f30 max(\u03b2\u0394T, \u03b2c\u0394c)<\/strong> <\u9608\u503c\u2192\u7528\u8fd1\u4f3c\uff0c>\u9608\u503c\u2192\u5207\u5168\u53ef\u538b\u7f29 \u8bef\u5dee <2 %\uff0c\u63d0\u901f 40 %<\/strong>\uff0c\u5927\u578b\u50a8\u80fd\u8231 LES \u8fc7\u591c\u5c31\u7b97\u5b8c\u3002<\/p>\n\n\n\n

    \u516d\u3001\u4e00\u5f20\u56fe\u603b\u7ed3\u2014\u2014\u201c\u8fd9\u52fe\u5230\u5e95\u6253\u4e0d\u6253\uff1f\u201d<\/h2>\n\n\n\n
    \u573a\u666f<\/th>\u0394\u03c1\/\u03c1<\/th>\u6e29\u5ea6\u8de8\u5ea6<\/th>\u6253\u52fe\uff1f<\/th><\/tr><\/thead>
    \u5ba4\u6e29\u7a7a\u6c14\u81ea\u7136\u5bf9\u6d41<\/td><5 %<\/td><15 \u2103<\/td>\u2705 \u7eff\u706f<\/td><\/tr>
    LED \u6563\u70ed<\/td><3 %<\/td><10 \u2103<\/td>\u2705 \u7eff\u706f<\/td><\/tr>
    \u592a\u9633\u80fd\u96c6\u70ed\u7ba1<\/td>5\u201310 %<\/td>30\u201350 \u2103<\/td>\u26a0 \u9ec4\u706f\uff0c\u7f51\u683c\u22652 \u9636<\/td><\/tr>
    \u6cb8\u817e\/\u5927\u6e29\u5dee<\/td>>10 %<\/td>>60 \u2103<\/td>\u274c \u7ea2\u706f<\/td><\/tr>
    \u9ad8\u901f\u53ef\u538b\u7f29\u6fc0\u6ce2<\/td>\u5267\u70c8<\/td>\u5267\u70c8<\/td>\u274c \u7ea2\u706f<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    \u4e00\u3001\u751f\u6d3b\u91cc\u7684\u5e03\u8f9b\u6d85\u53f8\u514b\u2014\u2014\u201c\u70ed\u7a7a\u6c14\u51ed\u4ec0\u4e48\u5f80\u4e0a\u98d8\uff1f\u201d \u51ac\u5929\u8f66\u91cc\u5f00\u7a7a\u8c03\uff0c\u70ed\u6c14\u201c\u547c\u201d\u5730\u6d8c\u51fa\uff0c\u51b7\u7a7a\u6c89\u5e95\uff0c\u70ed\u6d6e\u4e0a\u5347\uff0c\u77ac\u95f4 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-933","post","type-post","status-publish","format-standard","hentry","category-comsol"],"_links":{"self":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/933","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=933"}],"version-history":[{"count":2,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/933\/revisions"}],"predecessor-version":[{"id":935,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/933\/revisions\/935"}],"wp:attachment":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=933"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}