{"id":739762,"date":"2024-11-02T03:20:41","date_gmt":"2024-11-02T02:20:41","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=739762"},"modified":"2024-11-02T03:20:41","modified_gmt":"2024-11-02T02:20:41","slug":"%e5%ae%b9%e5%99%a8%e5%86%85%e6%b6%b2%e4%bd%93%e6%99%83%e5%8a%a8%e7%9a%84%e5%8a%a8%e6%80%81%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/zh-hans\/%e5%ae%b9%e5%99%a8%e5%86%85%e6%b6%b2%e4%bd%93%e6%99%83%e5%8a%a8%e7%9a%84%e5%8a%a8%e6%80%81%e5%88%86%e6%9e%90\/","title":{"rendered":"\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790"},"content":{"rendered":"<p class=\"sidekick\">\u5173\u952e\u8bcd\uff1a\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790\u3002\u6df1\u5165\u63a2\u8ba8\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u539f\u7406\u53ca\u5e94\u7528\uff0c\u4e86\u89e3\u5176\u5bf9\u5de5\u7a0b\u8bbe\u8ba1\u7684\u5f71\u54cd\uff0c\u63d0\u9ad8\u5b89\u5168\u6027\u4e0e\u7a33\u5b9a\u6027\u3002<\/p>\n<p><img src=\"https:\/\/www.thermal-engineering.org\/wp-content\/uploads\/2024\/07\/\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790.png\" alt=\"\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n<h2>\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790<\/h2>\n<p>\u5728\u70ed\u5de5\u5de5\u7a0b\u4e2d\uff0c\u6db2\u4f53\u5728\u5bb9\u5668\u5185\u7684\u6643\u52a8\u73b0\u8c61\u4e0d\u4ec5\u5f71\u54cd\u5bb9\u5668\u7684\u7a33\u5b9a\u6027\uff0c\u8fd8\u5f71\u54cd\u5185\u90e8\u6db2\u4f53\u7684\u4f20\u70ed\u6027\u80fd\u3002\u672c\u6587\u5c06\u4ecb\u7ecd\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u57fa\u672c\u52a8\u6001\u5206\u6790\uff0c\u5305\u62ec\u5176\u4ea7\u751f\u539f\u56e0\u3001\u5f71\u54cd\u56e0\u7d20\u53ca\u6570\u5b66\u63cf\u8ff0\u3002<\/p>\n<h2>\u6db2\u4f53\u6643\u52a8\u7684\u4ea7\u751f\u539f\u56e0<\/h2>\n<p>\u5f53\u5bb9\u5668\u53d1\u751f\u7a81\u7136\u52a0\u901f\u5ea6\u53d8\u5316\u6216\u53d7\u5230\u5916\u529b\u4f5c\u7528\u65f6\uff08\u5982\u8239\u53ea\u5728\u6d77\u6d6a\u4e2d\u7684\u6447\u6446\u3001\u8f66\u8f86\u5728\u884c\u9a76\u4e2d\u7684\u98a0\u7c38\u7b49\uff09\uff0c\u5185\u90e8\u6db2\u4f53\u4f1a\u53d1\u751f\u6643\u52a8\u3002\u8fd9\u79cd\u73b0\u8c61\u79f0\u4e3a\u6db2\u4f53\u6643\u52a8\u3002\u6db2\u4f53\u6643\u52a8\u4e0d\u4ec5\u5f71\u54cd\u5bb9\u5668\u7684\u6574\u4f53\u7a33\u5b9a\u6027\uff0c\u8fd8\u53ef\u80fd\u5bfc\u81f4\u6db2\u4f53\u6ea2\u51fa\u3001\u6d4b\u91cf\u8bef\u5dee\u4ee5\u53ca\u4f20\u70ed\u6548\u7387\u964d\u4f4e\u3002<\/p>\n<h2>\u5f71\u54cd\u6db2\u4f53\u6643\u52a8\u7684\u56e0\u7d20<\/h2>\n<p><u1><\/p>\n<li>\u5bb9\u5668\u7684\u51e0\u4f55\u5f62\u72b6\uff1a\u4e0d\u540c\u5f62\u72b6\u7684\u5bb9\u5668\u5bf9\u6db2\u4f53\u6643\u52a8\u7684\u6291\u5236\u6548\u679c\u4e0d\u540c\uff0c\u4f8b\u5982\u5706\u5f62\u5bb9\u5668\u548c\u77e9\u5f62\u5bb9\u5668\u7684\u6db2\u4f53\u6643\u52a8\u6a21\u5f0f\u4e0d\u540c\u3002<\/li>\n<li>\u6db2\u4f53\u7684\u6027\u8d28\uff1a\u7c98\u6027\u3001\u5bc6\u5ea6\u7b49\u6db2\u4f53\u7279\u6027\u4e5f\u4f1a\u5f71\u54cd\u6643\u52a8\u7684\u5e45\u5ea6\u548c\u9891\u7387\u3002<\/li>\n<li>\u5916\u529b\u4f5c\u7528\uff1a\u5916\u90e8\u65bd\u52a0\u7684\u529b\u6216\u52a0\u901f\u5ea6\u53d8\u5316\uff0c\u5982\u9707\u52a8\u9891\u7387\u548c\u5e45\u5ea6\uff0c\u76f4\u63a5\u5f71\u54cd\u6db2\u4f53\u7684\u6643\u52a8\u72b6\u6001\u3002<\/li>\n<p><\/u1><\/p>\n<h2>\u6db2\u4f53\u6643\u52a8\u7684\u6570\u5b66\u63cf\u8ff0<\/h2>\n<p>\u5bf9\u4e8e\u7b80\u5355\u7684\u5e73\u9762\u6643\u52a8\uff0c\u5e38\u7528\u7b80\u5316\u7684\u6570\u5b66\u6a21\u578b\u6765\u63cf\u8ff0\u3002\u5047\u8bbe\u6db2\u4f53\u662f\u4e0d\u53ef\u538b\u7f29\u4e14\u7406\u60f3\u7684\uff0c\u5219\u53ef\u4ee5\u7528\u62c9\u666e\u62c9\u65af\u65b9\u7a0b\u6765\u63cf\u8ff0\u6db2\u9762\u9ad8\u5ea6\u53d8\u5316\uff1a<\/p>\n<p>$$ \\nabla^2 \\phi = 0 $$<\/p>\n<p>\u5176\u4e2d \\(\\phi\\) \u662f\u52bf\u51fd\u6570\u3002<\/p>\n<p>\u901a\u8fc7\u6c42\u89e3\u62c9\u666e\u62c9\u65af\u65b9\u7a0b\uff0c\u5e76\u7ed3\u5408\u8fb9\u754c\u6761\u4ef6\uff0c\u53ef\u4ee5\u5f97\u5230\u6db2\u9762\u9ad8\u5ea6\u7684\u8868\u8fbe\u5f0f\u3002\u5177\u4f53\u5230\u5706\u5f62\u5bb9\u5668\uff0c\u63cf\u8ff0\u6db2\u9762\u9ad8\u5ea6\u7684\u65b9\u7a0b\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/p>\n<p>$$ \\eta(r, \\theta, t) = \\sum_{n=0}^{\\infty} R_n(r) \\cos(n \\theta) \\cos(\\omega_n t) $$<\/p>\n<p>\u5176\u4e2d \\(\\eta\\) \u4e3a\u6db2\u9762\u9ad8\u5ea6\uff0c\\(r\\) \u548c \\(\\theta\\) \u5206\u522b\u4e3a\u6781\u5750\u6807\u4e2d\u7684\u5f84\u5411\u548c\u89d2\u5411\u5750\u6807\uff0c\\(t\\)\u4e3a\u65f6\u95f4\uff0c\\(\\omega_n\\) \u4e3a\u89d2\u9891\u7387\uff0c\\(R_n(r)\\) \u4e3a\u4e0e\u5f84\u5411\u76f8\u5173\u7684\u51fd\u6570\u3002<\/p>\n<p>\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u73b0\u5b9e\u4e2d\u7684\u6db2\u4f53\u4f1a\u53d7\u5230\u8868\u9762\u5f20\u529b\u548c\u7c98\u6027\u7684\u5f71\u54cd\uff0c\u8fd9\u4e9b\u56e0\u7d20\u4f7f\u5f97\u5b9e\u9645\u7684\u6db2\u4f53\u6643\u52a8\u6bd4\u7406\u60f3\u6a21\u578b\u66f4\u4e3a\u590d\u6742\u3002<\/p>\n<h2>\u5b9e\u9645\u5e94\u7528\u5b9e\u4f8b<\/h2>\n<p><o1><\/p>\n<li>\u5728\u52a0\u6cb9\u7ad9\u7684\u50a8\u6cb9\u7f50\u4e2d\uff0c\u6cb9\u7bb1\u6643\u52a8\u4f1a\u5bfc\u81f4\u6cb9\u4f4d\u8ba1\u8bfb\u6570\u4e0d\u7a33\u5b9a\u3002\u901a\u8fc7\u589e\u52a0\u6d88\u6ce2\u5668\u7b49\u88c5\u5907\uff0c\u53ef\u4ee5\u51cf\u5c11\u6db2\u4f53\u6643\u52a8\u5e26\u6765\u7684\u6d4b\u91cf\u8bef\u5dee\u3002<\/li>\n<li>\u5728\u6d77\u4e0a\u8fd0\u8f93\u4e2d\uff0c\u6db2\u5316\u5929\u7136\u6c14\uff08LNG\uff09\u8fd0\u8f93\u8239\u7684\u50a8\u7f50\u8bbe\u8ba1\u9700\u8981\u7279\u522b\u8003\u8651\u6db2\u4f53\u6643\u52a8\uff0c\u91c7\u7528\u819c\u5f0f\u7ed3\u6784\u548c\u60ac\u6d6e\u7cfb\u7edf\u4ee5\u589e\u5f3a\u7a33\u5b9a\u6027\u3002<\/li>\n<p><\/o1><\/p>\n<h2>\u603b\u7ed3<\/h2>\n<p>\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790\u5728\u70ed\u5de5\u5de5\u7a0b\u4e2d\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002\u901a\u8fc7\u638c\u63e1\u5176\u57fa\u672c\u539f\u7406\u548c\u5f71\u54cd\u56e0\u7d20\uff0c\u53ef\u4ee5\u8bbe\u8ba1\u51fa\u66f4\u7a33\u5b9a\u548c\u9ad8\u6548\u7684\u6db2\u4f53\u5b58\u50a8\u4e0e\u4f20\u8f93\u7cfb\u7edf\uff0c\u51cf\u5c11\u6643\u52a8\u5e26\u6765\u7684\u4e0d\u5229\u5f71\u54cd\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5173\u952e\u8bcd\uff1a\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u52a8\u6001\u5206\u6790\u3002\u6df1\u5165\u63a2\u8ba8\u5bb9\u5668\u5185\u6db2\u4f53\u6643\u52a8\u7684\u539f\u7406\u53ca\u5e94\u7528\uff0c\u4e86\u89e3\u5176\u5bf9\u5de5\u7a0b\u8bbe\u8ba1\u7684\u5f71\u54cd\uff0c\u63d0\u9ad8\u5b89\u5168\u6027\u4e0e\u7a33\u5b9a\u6027\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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