{"id":726291,"date":"2024-09-10T12:32:48","date_gmt":"2024-09-10T11:32:48","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=726291"},"modified":"2024-09-10T12:32:48","modified_gmt":"2024-09-10T11:32:48","slug":"%e4%b8%89%e7%a7%8d%e6%b8%a9%e5%ba%a6%e6%a2%af%e5%ba%a6%e5%8f%8a%e5%85%b6%e6%84%8f%e4%b9%89","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/zh-hans\/%e4%b8%89%e7%a7%8d%e6%b8%a9%e5%ba%a6%e6%a2%af%e5%ba%a6%e5%8f%8a%e5%85%b6%e6%84%8f%e4%b9%89\/","title":{"rendered":"\u4e09\u79cd\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u610f\u4e49"},"content":{"rendered":"<p class=\"sidekick\">\u4e09\u79cd\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u610f\u4e49\uff1a\u4e86\u89e3\u6e29\u5ea6\u68af\u5ea6\u7684\u7c7b\u578b\u53ca\u5176\u5728\u70ed\u5de5\u7a0b\u4e2d\u7684\u5e94\u7528\uff0c\u638c\u63e1\u6e29\u5ea6\u53d8\u5316\u5bf9\u70ed\u4f20\u5bfc\u548c\u80fd\u91cf\u4f20\u9012\u7684\u91cd\u8981\u5f71\u54cd\u3002<\/p>\n<p><img src=\"https:\/\/www.thermal-engineering.org\/wp-content\/uploads\/2024\/07\/\u4e09\u79cd\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u610f\u4e49.png\" alt=\"\u4e09\u79cd\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u610f\u4e49\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n<h2>\u4e09\u79cd\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u610f\u4e49<\/h2>\n<p>\u6e29\u5ea6\u68af\u5ea6\u662f\u70ed\u5de5\u7a0b\u4e2d\u4e00\u4e2a\u5173\u952e\u6982\u5ff5\uff0c\u7528\u4e8e\u8868\u5f81\u6750\u6599\u6216\u73af\u5883\u4e2d\u7684\u6e29\u5ea6\u53d8\u5316\u7387\u3002\u7406\u89e3\u6e29\u5ea6\u68af\u5ea6\u548c\u5176\u610f\u4e49\u5bf9\u4e8e\u8bbe\u8ba1\u9ad8\u6548\u7684\u70ed\u7ba1\u7406\u7cfb\u7edf\u81f3\u5173\u91cd\u8981\u3002\u672c\u6587\u5c06\u4ecb\u7ecd\u4e09\u79cd\u5e38\u89c1\u7684\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u5b9e\u9645\u5e94\u7528\u3002<\/p>\n<ul>\n<li>\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6<\/li>\n<li>\u975e\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6<\/li>\n<li>\u77ac\u6001\u6e29\u5ea6\u68af\u5ea6<\/li>\n<\/ul>\n<h2>\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6<\/h2>\n<p>\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6\u662f\u6307\u6e29\u5ea6\u968f\u7740\u8ddd\u79bb\u7684\u589e\u52a0\u6309\u7167\u56fa\u5b9a\u7684\u6bd4\u4f8b\u53d8\u5316\u3002\u6570\u5b66\u4e0a\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/p>\n<p>T(x) = T<sub>0<\/sub> + G * x<\/p>\n<p>\u5176\u4e2d\uff0cT(x) \u662f\u4f4d\u7f6e x \u5904\u7684\u6e29\u5ea6\uff0cT<sub>0<\/sub> \u662f\u521d\u59cb\u6e29\u5ea6\uff0cG \u662f\u6e29\u5ea6\u68af\u5ea6\u7684\u5e38\u6570\u3002\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6\u5728\u8bb8\u591a\u5de5\u7a0b\u5e94\u7528\u4e2d\u8f83\u4e3a\u5e38\u89c1\uff0c\u5982\u70ed\u4f20\u5bfc\u95ee\u9898\u4e2d\u7a33\u6001\u7684\u60c5\u51b5\u4e0b\uff0c\u91d1\u5c5e\u6746\u7684\u4e00\u7aef\u52a0\u70ed\uff0c\u70ed\u91cf\u901a\u8fc7\u6746\u7684\u5176\u4ed6\u90e8\u5206\u5747\u5300\u5206\u5e03\u3002<\/p>\n<h2>\u975e\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6<\/h2>\n<p>\u975e\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6\u662f\u6e29\u5ea6\u968f\u8ddd\u79bb\u53d8\u5316\u7684\u901f\u7387\u4e0d\u6052\u5b9a\uff0c\u4e00\u822c\u9075\u5faa\u4e8c\u6b21\u6216\u66f4\u9ad8\u6b21\u65b9\u7a0b\u3002\u5176\u8868\u8fbe\u5f0f\u53ef\u80fd\u4e3a\uff1a<\/p>\n<p>T(x) = T<sub>0<\/sub> + a * x<sup>2<\/sup> + b<\/p>\n<p>\u5176\u4e2d a \u548c b \u662f\u5e38\u6570\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u975e\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6\u5e38\u51fa\u73b0\u5728\u590d\u6742\u70ed\u4f20\u5bfc\u95ee\u9898\u4e2d\uff0c\u6bd4\u5982\u5728\u590d\u5408\u6750\u6599\u6216\u591a\u5c42\u6750\u6599\u4e2d\u7684\u70ed\u4f20\u5bfc\u5176\u6e29\u5ea6\u5206\u5e03\u53ef\u80fd\u8868\u73b0\u51fa\u975e\u7ebf\u6027\u7279\u6027\u3002<\/p>\n<h2>\u77ac\u6001\u6e29\u5ea6\u68af\u5ea6<\/h2>\n<p>\u77ac\u6001\u6e29\u5ea6\u68af\u5ea6\u63cf\u8ff0\u7684\u662f\u968f\u7740\u65f6\u95f4\u53d8\u5316\u7684\u6e29\u5ea6\u5206\u5e03\u53d8\u5316\u3002\u6570\u5b66\u4e0a\uff0c\u5b83\u901a\u5e38\u8868\u793a\u4e3a\u4e00\u4e2a\u504f\u5fae\u5206\u65b9\u7a0b\uff0c\u4f8b\u5982\uff1a<\/p>\n<p>\\(\\frac{\\partial T}{\\partial t} = \\alpha \\frac{\\partial^2 T}{\\partial x^2}\\)<\/p>\n<p>\u5176\u4e2d\uff0cT \u662f\u6e29\u5ea6\uff0ct \u662f\u65f6\u95f4\uff0cx \u662f\u4f4d\u7f6e\uff0c\u03b1 \u662f\u70ed\u6269\u6563\u7cfb\u6570\u3002\u77ac\u6001\u6e29\u5ea6\u68af\u5ea6\u9002\u7528\u4e8e\u7814\u7a76\u968f\u65f6\u95f4\u53d8\u5316\u7684\u70ed\u4f20\u5bfc\u95ee\u9898\uff0c\u5982\u77ac\u95f4\u52a0\u70ed\u6216\u51b7\u5374\u8fc7\u7a0b\u4e2d\u7684\u6e29\u5ea6\u53d8\u5316\u60c5\u51b5\u3002\u5728\u73af\u5883\u63a7\u5236\u3001\u53d1\u52a8\u673a\u51b7\u5374\u7b49\u9886\u57df\uff0c\u7406\u89e3\u77ac\u6001\u6e29\u5ea6\u68af\u5ea6\u53ef\u4ee5\u5e2e\u52a9\u4f18\u5316\u7cfb\u7edf\u7684\u6548\u7387\u548c\u6027\u80fd\u3002<\/p>\n<h2>\u7ed3\u8bba<\/h2>\n<p>\u6e29\u5ea6\u68af\u5ea6\u5728\u70ed\u5de5\u5b66\u4e2d\u626e\u6f14\u7740\u81f3\u5173\u91cd\u8981\u7684\u89d2\u8272\u3002\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6\u6709\u52a9\u4e8e\u7406\u89e3\u7b80\u5355\u7684\u70ed\u4f20\u5bfc\u95ee\u9898\uff0c\u800c\u975e\u7ebf\u6027\u6e29\u5ea6\u68af\u5ea6\u548c\u77ac\u6001\u6e29\u5ea6\u68af\u5ea6\u5219\u5e94\u7528\u4e8e\u66f4\u52a0\u590d\u6742\u7684\u60c5\u5883\u3002\u901a\u8fc7\u5b66\u4e60\u548c\u5206\u6790\u4e0d\u540c\u7c7b\u578b\u7684\u6e29\u5ea6\u68af\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u597d\u5730\u8bbe\u8ba1\u548c\u4f18\u5316\u5404\u79cd\u70ed\u7ba1\u7406\u7cfb\u7edf\uff0c\u4ece\u800c\u63d0\u9ad8\u5de5\u7a0b\u5e94\u7528\u4e2d\u7684\u6548\u7387\u548c\u6548\u679c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e09\u79cd\u6e29\u5ea6\u68af\u5ea6\u53ca\u5176\u610f\u4e49\uff1a\u4e86\u89e3\u6e29\u5ea6\u68af\u5ea6\u7684\u7c7b\u578b\u53ca\u5176\u5728\u70ed\u5de5\u7a0b\u4e2d\u7684\u5e94\u7528\uff0c\u638c\u63e1\u6e29\u5ea6\u53d8\u5316\u5bf9\u70ed\u4f20\u5bfc\u548c\u80fd\u91cf\u4f20\u9012\u7684\u91cd\u8981\u5f71\u54cd\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[134],"tags":[],"yoast_head":"<!-- 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