{"id":738917,"date":"2024-09-28T04:20:31","date_gmt":"2024-09-28T03:20:31","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=738917"},"modified":"2024-09-28T04:20:31","modified_gmt":"2024-09-28T03:20:31","slug":"%e7%81%ab%e5%b1%b1%e5%96%b7%e5%8f%91%e4%b8%ad%e7%9a%84%e6%b5%81%e4%bd%93%e5%8a%a8%e5%8a%9b%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/zh-hans\/%e7%81%ab%e5%b1%b1%e5%96%b7%e5%8f%91%e4%b8%ad%e7%9a%84%e6%b5%81%e4%bd%93%e5%8a%a8%e5%8a%9b%e5%ad%a6\/","title":{"rendered":"\u706b\u5c71\u55b7\u53d1\u4e2d\u7684\u6d41\u4f53\u52a8\u529b\u5b66"},"content":{"rendered":"<p class=\"sidekick\">\u706b\u5c71\u55b7\u53d1\u4e2d\u7684\u6d41\u4f53\u52a8\u529b\u5b66\uff0c\u89e3\u6790\u5ca9\u6d46\u5982\u4f55\u901a\u8fc7\u7ba1\u9053\u4e0a\u5347\u53ca\u5176\u55b7\u53d1\u8fc7\u7a0b\u4e2d\u7684\u6d41\u4f53\u884c\u4e3a\uff0c\u63ed\u79d8\u5927\u81ea\u7136\u7684\u706b\u5c71\u5a01\u529b\u4e0e\u4f5c\u7528\u673a\u5236\u3002<\/p>\n<p><img src=\"https:\/\/www.thermal-engineering.org\/wp-content\/uploads\/2024\/07\/\u706b\u5c71\u55b7\u53d1\u4e2d\u7684\u6d41\u4f53\u52a8\u529b\u5b66.png\" alt=\"\u706b\u5c71\u55b7\u53d1\u4e2d\u7684\u6d41\u4f53\u52a8\u529b\u5b66\" style=\"display: block; margin-left: auto; margin-right: 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(\\(\\tau\\)) \u4e0e\u526a\u5207\u901f\u7387 (\\(\\dot{\\gamma}\\)) \u6210\u6b63\u6bd4\u5173\u7cfb\uff0c\\(\\tau = \\eta \\dot{\\gamma}\\)\uff0c\u5176\u4e2d \\(\\eta\\) \u662f\u7c98\u5ea6\u3002<\/li>\n<li><strong>\u975e\u725b\u987f\u6d41\u4f53<\/strong>\uff1a\u526a\u5207\u5e94\u529b\u4e0e\u526a\u5207\u901f\u7387\u4e4b\u95f4\u7684\u5173\u7cfb\u66f4\u52a0\u590d\u6742\uff0c\u901a\u5e38\u9700\u8981\u66f4\u590d\u6742\u7684\u65b9\u7a0b\u6765\u63cf\u8ff0\uff0c\u5982\u5e42\u5f8b\u6d41\u4f53\u6a21\u578b\u3002<\/li>\n<\/ul>\n<h2>\u706b\u5c71\u7070\u7684\u6269\u6563<\/h2>\n<p>\u706b\u5c71\u55b7\u53d1\u65f6\u4e0d\u4ec5\u4f1a\u55b7\u51fa\u7194\u5ca9\uff0c\u8fd8\u4f1a\u91ca\u653e\u5927\u91cf\u706b\u5c71\u7070\u3002\u706b\u5c71\u7070\u662f\u4e00\u79cd\u7531\u7ec6\u5c0f\u5ca9\u77f3\u9897\u7c92\u7ec4\u6210\u7684\u60ac\u6d6e\u7269\uff0c\u5176\u6269\u6563\u884c\u4e3a\u53ef\u4ee5\u7528\u6d41\u4f53\u52a8\u529b\u5b66\u4e2d\u7684\u6269\u6563\u7406\u8bba\u6765\u63cf\u8ff0\u3002Stokes\u5b9a\u5f8b(\\(F = 6\\pi \\eta r v\\)) \u53ef\u4ee5\u7528\u6765\u5206\u6790\u9897\u7c92\u5728\u7a7a\u6c14\u4e2d\u7684\u6c89\u964d\u901f\u5ea6\u3002<\/p>\n<h2>\u706b\u5c71\u55b7\u53d1\u6a21\u578b<\/h2>\n<p>\u4e3a\u4e86\u9884\u6d4b\u548c\u6a21\u62df\u706b\u5c71\u55b7\u53d1\uff0c\u79d1\u5b66\u5bb6\u4eec\u901a\u5e38\u4f9d\u8d56\u4e8e\u8ba1\u7b97\u673a\u6a21\u578b\u3002\u8fd9\u4e9b\u6a21\u578b\u7ed3\u5408\u4e86\u70ed\u529b\u5b66\uff08\u5982\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\uff09\u548c\u6d41\u4f53\u52a8\u529b\u5b66\uff08\u5982Navier-Stokes\u65b9\u7a0b\uff09\u3002Navier-Stokes\u65b9\u7a0b\u63cf\u8ff0\u4e86\u7c98\u6027\u6d41\u4f53\u7684\u8fd0\u52a8\uff0c\u5176\u4e00\u822c\u5f62\u5f0f\u4e3a\uff1a<\/p>\n<p>\n\\[<br \/>\n\\frac{\\partial \\mathbf{u}}{\\partial t} + \\mathbf{u} \\cdot \\nabla \\mathbf{u} = -\\frac{1}{\\rho} \\nabla p + \\nu \\nabla^2 \\mathbf{u} + \\mathbf{f}<br \/>\n\\]\n<\/p>\n<p>\u5176\u4e2d\uff0c\\(\\mathbf{u}\\) \u8868\u793a\u901f\u5ea6\u573a\uff0c\\(t\\) \u4e3a\u65f6\u95f4\uff0c\\(\\rho\\) \u4e3a\u6d41\u4f53\u5bc6\u5ea6\uff0c\\(p\\) \u4e3a\u538b\u529b\uff0c\\(\\nu\\) \u4e3a\u8fd0\u52a8\u7c98\u5ea6\uff0c\\(\\mathbf{f}\\) 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