{"id":752867,"date":"2024-11-01T17:17:42","date_gmt":"2024-11-01T16:17:42","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=752867"},"modified":"2024-11-01T17:17:42","modified_gmt":"2024-11-01T16:17:42","slug":"%e5%88%86%e5%bd%a2%e7%bb%93%e6%9e%84%e4%b8%ad%e7%9a%84%e7%83%ad%e4%bc%a0%e9%80%92","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/zh-hans\/%e5%88%86%e5%bd%a2%e7%bb%93%e6%9e%84%e4%b8%ad%e7%9a%84%e7%83%ad%e4%bc%a0%e9%80%92\/","title":{"rendered":"\u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012"},"content":{"rendered":"

\u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012\uff1a\u5206\u6790\u5206\u5f62\u7ed3\u6784\u5728\u70ed\u4f20\u9012\u8fc7\u7a0b\u4e2d\u7684\u5e94\u7528\uff0c\u63a2\u8ba8\u5176\u63d0\u9ad8\u70ed\u5bfc\u7387\u548c\u6548\u7387\u7684\u539f\u7406\uff0c\u9002\u7528\u4e8e\u70ed\u7ba1\u7406\u548c\u6750\u6599\u79d1\u5b66\u3002<\/p>\n

\"\u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012\"<\/p>\n

\u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012<\/h2>\n

\u70ed\u4f20\u9012\u662f\u70ed\u80fd\u4ece\u4e00\u4e2a\u533a\u57df\u4f20\u9012\u5230\u53e6\u4e00\u4e2a\u533a\u57df\u7684\u8fc7\u7a0b\uff0c\u5728\u5de5\u7a0b\u548c\u7269\u7406\u5b66\u4e2d\u5360\u6709\u91cd\u8981\u5730\u4f4d\u3002\u5206\u5f62\u7ed3\u6784\u56e0\u5176\u590d\u6742\u548c\u81ea\u76f8\u4f3c\u7684\u7279\u70b9\uff0c\u5728\u70ed\u4f20\u9012\u7814\u7a76\u4e2d\u5f15\u8d77\u4e86\u5e7f\u6cdb\u5173\u6ce8\u3002\u672c\u6587\u5c06\u63a2\u8ba8\u5206\u5f62\u7ed3\u6784\u5982\u4f55\u5f71\u54cd\u70ed\u4f20\u9012\u8fc7\u7a0b\u3002<\/p>\n

\u5206\u5f62\u7ed3\u6784\u7684\u57fa\u672c\u6982\u5ff5<\/h3>\n

\u5206\u5f62\uff08fractal\uff09\u662f\u6307\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e0a\u5448\u73b0\u51fa\u81ea\u76f8\u4f3c\u6027\u8d28\u7684\u51e0\u4f55\u7ed3\u6784\u3002\u5206\u5f62\u7ed3\u6784\u5e7f\u6cdb\u5b58\u5728\u4e8e\u81ea\u7136\u754c\uff0c\u4f8b\u5982\u96ea\u82b1\u3001\u5c71\u8109\u8f6e\u5ed3\u3001\u6811\u6728\u7684\u5206\u679d\u548c\u6cb3\u6d41\u7f51\u7edc\u7b49\u3002\u5206\u5f62\u7684\u4e00\u4e2a\u91cd\u8981\u7279\u6027\u662f\u5176\u5206\u5f62\u7ef4\u6570\uff0c\u8fd9\u4e0e\u5176\u5360\u636e\u7a7a\u95f4\u7684\u590d\u6742\u7a0b\u5ea6\u6709\u5173\u3002\u5206\u5f62\u7ed3\u6784\u901a\u5e38\u7531\u8fed\u4ee3\u751f\u6210\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u901a\u8fc7\u91cd\u590d\u7b80\u5355\u7684\u751f\u6210\u89c4\u5219\u5f62\u6210\u590d\u6742\u7684\u56fe\u6848\u3002<\/p>\n

\u70ed\u4f20\u9012\u7684\u57fa\u672c\u539f\u7406<\/h3>\n

\u70ed\u4f20\u9012\u4e3b\u8981\u6709\u4e09\u79cd\u65b9\u5f0f\uff1a\u70ed\u4f20\u5bfc\u3001\u70ed\u5bf9\u6d41\u548c\u70ed\u8f90\u5c04\u3002<\/p>\n

<\/p>\n

  • \u70ed\u4f20\u5bfc<\/b>: \u70ed\u80fd\u901a\u8fc7\u7269\u8d28\u7684\u76f4\u63a5\u63a5\u89e6\u4ece\u9ad8\u6e29\u533a\u57df\u4f20\u9012\u5230\u4f4e\u6e29\u533a\u57df\u3002<\/li>\n
  • \u70ed\u5bf9\u6d41<\/b>: \u70ed\u80fd\u901a\u8fc7\u6d41\u4f53\uff08\u6c14\u4f53\u6216\u6db2\u4f53\uff09\u7684\u8fd0\u52a8\u4f20\u9012\u3002<\/li>\n
  • \u70ed\u8f90\u5c04<\/b>: \u70ed\u80fd\u901a\u8fc7\u7535\u78c1\u6ce2\uff08\u901a\u5e38\u4e3a\u7ea2\u5916\u7ebf\uff09\u4f20\u9012\uff0c\u4e0d\u9700\u8981\u4ecb\u8d28\u3002<\/li>\n

    <\/u1><\/p>\n

    \u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u5bfc<\/h3>\n

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    1. \u5206\u5f62\u7ef4\u6570\u7684\u5f71\u54cd<\/h4>\n

    \u5206\u5f62\u7ef4\u6570\u5728\u70ed\u4f20\u5bfc\u8fc7\u7a0b\u4e2d\u626e\u6f14\u5173\u952e\u89d2\u8272\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5206\u5f62\u7ef4\u6570\u8d8a\u9ad8\uff0c\u8868\u9762\u79ef\u8d8a\u5927\uff0c\u70ed\u4f20\u5bfc\u7684\u8def\u5f84\u4e5f\u8d8a\u590d\u6742\u3002\u4f8b\u5982\uff0c\u79d1\u8d6b\u96ea\u82b1\uff08Koch Snowflake\uff09\u5177\u6709\u9ad8\u5206\u5f62\u7ef4\u6570\uff0c\u5176\u8868\u9762\u79ef\u65e0\u9650\u5927\u4f46\u5305\u56f4\u7684\u7a7a\u95f4\u6709\u9650\uff0c\u8fd9\u4f1a\u6539\u53d8\u70ed\u91cf\u4f20\u9012\u7684\u901f\u7387\u548c\u65b9\u5411\u3002<\/p>\n

    2. \u70ed\u4f20\u5bfc\u7684\u6570\u5b66\u6a21\u578b<\/h4>\n

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    \\[
    \n\\frac{\\partial u}{\\partial t} = K \\nabla^{D} u
    \n\\]\n

    \u5176\u4e2d\uff0c\\(u\\) \u8868\u793a\u6e29\u5ea6\uff0c\\(t\\) \u8868\u793a\u65f6\u95f4\uff0c\\(K\\) \u662f\u5bfc\u70ed\u7cfb\u6570\uff0c\\(\\nabla^{D}\\) \u662f\u57fa\u4e8e\u5206\u5f62\u7ef4\u6570D\u7684\u62c9\u666e\u62c9\u65af\u7b97\u5b50\u3002<\/p>\n

    \u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u5bf9\u6d41<\/h3>\n

    \u5206\u5f62\u7ed3\u6784\u540c\u6837\u4f1a\u5f71\u54cd\u70ed\u5bf9\u6d41\u8fc7\u7a0b\u3002\u7531\u4e8e\u5206\u5f62\u8868\u9762\u5177\u6709\u590d\u6742\u7684\u5f62\u72b6\uff0c\u8fd9\u4f1a\u5bfc\u81f4\u6d41\u4f53\u5728\u5176\u8868\u9762\u7684\u6d41\u52a8\u884c\u4e3a\u53d1\u751f\u663e\u8457\u53d8\u5316\u3002\u590d\u6742\u7684\u8fb9\u754c\u6761\u4ef6\u53ef\u80fd\u4f1a\u8bf1\u53d1\u6e4d\u6d41\u6216\u751f\u6210\u5c0f\u5c3a\u5ea6\u7684\u5faa\u73af\u6d41\u52a8\uff0c\u5f71\u54cd\u6574\u4f53\u7684\u70ed\u5bf9\u6d41\u6548\u7387\u3002<\/p>\n

    \u5e94\u7528\u5b9e\u4f8b<\/h3>\n

    <\/p>\n

  • \u7535\u5b50\u8bbe\u5907\u6563\u70ed<\/b>: \u5206\u5f62\u7ed3\u6784\u7528\u6765\u63d0\u5347\u6563\u70ed\u7247\u7684\u6548\u7387\u3002\u901a\u8fc7\u589e\u52a0\u8868\u9762\u79ef\u548c\u4f18\u5316\u70ed\u6d41\u8def\u5f84\uff0c\u5206\u5f62\u6563\u70ed\u7247\u53ef\u4ee5\u66f4\u6709\u6548\u5730\u4ece\u7535\u5b50\u5143\u4ef6\u4e2d\u79fb\u9664\u70ed\u91cf\u3002<\/li>\n
  • \u5929\u7136\u4fdd\u6e29\u6750\u6599<\/b>: \u67d0\u4e9b\u690d\u7269\u548c\u52a8\u7269\u7684\u5206\u5f62\u7ed3\u6784\uff0c\u5982\u4e00\u6728\u6750\u7684\u5bfc\u7ba1\u7cfb\u7edf\uff0c\u5929\u7136\u63d0\u4f9b\u4e86\u9ad8\u6548\u7684\u70ed\u4f20\u5bfc\u548c\u4fdd\u6e29\u6548\u679c\u3002<\/li>\n
  • \u73af\u5883\u5de5\u7a0b<\/b>: \u6cb3\u6d41\u548c\u5730\u8d28\u7ed3\u6784\u4e2d\u7684\u5206\u5f62\u5f62\u6001\u4e5f\u4f1a\u5f71\u54cd\u70ed\u4f20\u9012\uff0c\u5982\u5730\u4e0b\u6c34\u7684\u51b7\u70ed\u4ea4\u6362\u3002<\/li>\n

    <\/o1><\/p>\n

    \u7ed3\u8bba<\/h3>\n

    \u5206\u5f62\u7ed3\u6784\u5728\u70ed\u4f20\u9012\u9886\u57df\u5c55\u73b0\u4e86\u4e30\u5bcc\u7684\u7814\u7a76\u65b9\u5411\u548c\u5e94\u7528\u6f5c\u529b\u3002\u901a\u8fc7\u7406\u89e3\u548c\u5229\u7528\u5206\u5f62\u7684\u7279\u6027\uff0c\u5de5\u7a0b\u5e08\u548c\u7269\u7406\u5b66\u5bb6\u53ef\u4ee5\u8bbe\u8ba1\u51fa\u66f4\u9ad8\u6548\u7684\u70ed\u7ba1\u7406\u7cfb\u7edf\uff0c\u5e94\u7528\u4e8e\u7535\u5b50\u8bbe\u5907\u6563\u70ed\u3001\u5efa\u7b51\u4fdd\u6e29\u7b49\u591a\u4e2a\u9886\u57df\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012\uff1a\u5206\u6790\u5206\u5f62\u7ed3\u6784\u5728\u70ed\u4f20\u9012\u8fc7\u7a0b\u4e2d\u7684\u5e94\u7528\uff0c\u63a2\u8ba8\u5176\u63d0\u9ad8\u70ed\u5bfc\u7387\u548c\u6548\u7387\u7684\u539f\u7406\uff0c\u9002\u7528\u4e8e\u70ed\u7ba1\u7406\u548c\u6750\u6599\u79d1\u5b66\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":"\n\u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012<\/title>\n<meta name=\"description\" content=\"\u5206\u5f62\u7ed3\u6784\u4e2d\u7684\u70ed\u4f20\u9012\uff1a\u5206\u6790\u5206\u5f62\u7ed3\u6784\u5728\u70ed\u4f20\u9012\u8fc7\u7a0b\u4e2d\u7684\u5e94\u7528\uff0c\u63a2\u8ba8\u5176\u63d0\u9ad8\u70ed\u5bfc\u7387\u548c\u6548\u7387\u7684\u539f\u7406\uff0c\u9002\u7528\u4e8e\u70ed\u7ba1\u7406\u548c\u6750\u6599\u79d1\u5b66\u3002\" \/>\n<meta name=\"robots\" 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