{"id":744345,"date":"2024-12-13T03:26:51","date_gmt":"2024-12-13T02:26:51","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=744345"},"modified":"2024-12-13T03:26:51","modified_gmt":"2024-12-13T02:26:51","slug":"%e8%b6%85%e5%a3%b0%e6%b3%a2%e5%8a%a0%e5%b7%a5%e4%b8%ad%e7%9a%84%e7%83%ad%e4%bc%a0%e5%af%bc","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/zh-hans\/%e8%b6%85%e5%a3%b0%e6%b3%a2%e5%8a%a0%e5%b7%a5%e4%b8%ad%e7%9a%84%e7%83%ad%e4%bc%a0%e5%af%bc\/","title":{"rendered":"\u8d85\u58f0\u6ce2\u52a0\u5de5\u4e2d\u7684\u70ed\u4f20\u5bfc"},"content":{"rendered":"<p class=\"sidekick\">\u8d85\u58f0\u6ce2\u52a0\u5de5\u4e2d\u7684\u70ed\u4f20\u5bfc\uff1a\u4e86\u89e3\u8d85\u58f0\u6ce2\u632f\u52a8\u5982\u4f55\u5f71\u54cd\u70ed\u4f20\u5bfc\u6548\u7387\u548c\u6750\u6599\u52a0\u5de5\u8fc7\u7a0b\uff0c\u63d0\u5347\u5236\u9020\u7cbe\u5ea6\u548c\u901f\u5ea6\u7684\u91cd\u8981\u56e0\u7d20\u3002<\/p>\n<p><img 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K)}\\)\u3002\u5728\u8d85\u58f0\u6ce2\u52a0\u5de5\u4e2d\uff0c\u9009\u7528\u9ad8\u70ed\u5bfc\u7387\u7684\u6750\u6599\u6709\u52a9\u4e8e\u5feb\u901f\u6563\u70ed\uff0c\u907f\u514d\u52a0\u5de5\u533a\u8fc7\u70ed\u3002<\/p>\n<h2>\u52a0\u5de5\u53c2\u6570\u7684\u5f71\u54cd<\/h2>\n<p>\u8d85\u58f0\u6ce2\u52a0\u5de5\u7684\u53c2\u6570\u5982\u9891\u7387\u3001\u529f\u7387\u548c\u65f6\u95f4\u90fd\u4f1a\u5f71\u54cd\u70ed\u4f20\u5bfc\u3002\u4f8b\u5982\uff0c\u9ad8\u9891\u8d85\u58f0\u6ce2\u4f1a\u4ea7\u751f\u66f4\u591a\u7684\u70ed\u91cf\uff0c\u800c\u9ad8\u529f\u7387\u4e5f\u4f1a\u5bfc\u81f4\u66f4\u5927\u7684\u6e29\u5347\u3002\u63a7\u5236\u8fd9\u4e9b\u53c2\u6570\uff0c\u53ef\u4ee5\u4f18\u5316\u70ed\u4f20\u5bfc\u8fc7\u7a0b\uff0c\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u70ed\u635f\u5931\u3002<\/p>\n<h2>\u73af\u5883\u6761\u4ef6\u7684\u4f5c\u7528<\/h2>\n<p>\u73af\u5883\u6761\u4ef6\u4e5f\u5bf9\u8d85\u58f0\u6ce2\u52a0\u5de5\u4e2d\u7684\u70ed\u4f20\u5bfc\u6709\u663e\u8457\u5f71\u54cd\u3002\u4f8b\u5982\uff0c\u51b7\u5374\u6db2\u7684\u4f7f\u7528\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u70ed\u4f20\u5bfc\u6548\u7387\u3002\u5e38\u89c1\u7684\u51b7\u5374\u65b9\u5f0f\u6709\u6c34\u51b7\u3001\u6cb9\u51b7\u4ee5\u53ca\u7a7a\u6c14\u51b7\u5374\u3002\u901a\u8fc7\u8fd9\u51e0\u79cd\u65b9\u5f0f\uff0c\u53ef\u4ee5\u5c06\u52a0\u5de5\u533a\u7684\u70ed\u91cf\u5feb\u901f\u5e26\u8d70\uff0c\u4fdd\u6301\u52a0\u5de5\u4ef6\u7684\u6e29\u5ea6\u7a33\u5b9a\u3002<\/p>\n<h2>\u8d85\u58f0\u6ce2\u52a0\u5de5\u4e2d\u7684\u70ed\u91cf\u65b9\u7a0b<\/h2>\n<p>\u5728\u8d85\u58f0\u6ce2\u52a0\u5de5\u4e2d\uff0c\u53ef\u4ee5\u5229\u7528\u70ed\u91cf\u65b9\u7a0b\u63cf\u8ff0\u70ed\u4f20\u5bfc\u8fc7\u7a0b\u3002\u7b80\u5316\u540e\u7684\u70ed\u4f20\u5bfc\u65b9\u7a0b\u5982\u4e0b\uff1a<\/p>\n<p>\n    \\( \\frac{\\partial T}{\\partial t} = \\alpha \\nabla^2 T \\)\n<\/p>\n<p>\u5176\u4e2d\uff1a<\/p>\n<ul>\n<li>\\( T \\) \u4e3a\u6e29\u5ea6<\/li>\n<li>\\( t \\) \u4e3a\u65f6\u95f4<\/li>\n<li>\\( \\alpha \\) \u4e3a\u70ed\u6269\u6563\u7cfb\u6570<\/li>\n<li>\\( \\nabla^2 \\) 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