{"id":1090,"date":"2025-12-19T14:36:07","date_gmt":"2025-12-19T06:36:07","guid":{"rendered":"https:\/\/guagefangzhen.cn\/?p=1090"},"modified":"2026-02-09T15:14:28","modified_gmt":"2026-02-09T07:14:28","slug":"%e8%83%bd%e6%96%af%e7%89%b9-%e6%99%ae%e6%9c%97%e5%85%8b%e6%96%b9%e7%a8%8b%e4%b8%8e%e8%8f%b2%e5%85%8b%e5%ae%9a%e5%be%8b%ef%bc%9a%e4%bb%8e%e7%89%a9%e7%90%86%e6%9c%ac%e8%b4%a8%e5%88%b0-comsol-2","status":"publish","type":"post","link":"https:\/\/guagefangzhen.cn\/?p=1090","title":{"rendered":"\u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u65b9\u7a0b\u4e0e\u83f2\u514b\u5b9a\u5f8b\uff1a\u4ece\u7269\u7406\u672c\u8d28\u5230 COMSOL \u5b9e\u6218"},"content":{"rendered":"\n<p><em>\u5173\u952e\u8bcd\uff1a\u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u3001\u83f2\u514b\u5b9a\u5f8b\u3001\u7535\u8fc1\u79fb\u3001\u6269\u6563\u3001COMSOL\u3001\u7535\u5316\u5b66\u3001\u4f20\u8d28<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e00\u3001\u5199\u5728\u524d\u9762\uff1a\u4e3a\u4ec0\u4e48\u8fd9\u4e24\u4e2a\u540d\u5b57\u603b\u4e00\u8d77\u51fa\u73b0\uff1f<\/strong><\/h2>\n\n\n\n<p>  \u5728\u7535\u5316\u5b66\u3001\u819c\u5206\u79bb\u3001\u5fae\u6d41\u63a7\u4e43\u81f3\u9502\u7535\u6c60\u3001\u71c3\u6599\u7535\u6c60\u7b49\u591a\u7269\u7406\u573a\u8026\u5408\u95ee\u9898\u91cc\uff0c\u6211\u4eec\u51e0\u4e4e\u603b\u4f1a\u770b\u5230\u4e24\u6761\u201c\u4f20\u8d28\u8def\u7ebf\u201d\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u83f2\u514b\u5b9a\u5f8b\uff08Fick\u2019s Law\uff09<\/strong>\u2014\u2014\u201c\u65e0\u5916\u529b\u201d\u65f6\u7684\u7eaf\u6269\u6563\uff1b<\/li>\n\n\n\n<li><strong>\u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u65b9\u7a0b\uff08Nernst\u2013Planck, NP\uff09<\/strong>\u2014\u2014\u201c\u6709\u7535\u573a\u201d\u65f6\u7684\u6269\u6563+\u8fc1\u79fb\u3002<\/li>\n<\/ol>\n\n\n\n<p>  \u5b83\u4eec\u65e2\u50cf\u201c\u5e08\u751f\u201d\u53c8\u50cf\u201c\u642d\u6863\u201d\uff1a\u83f2\u514b\u5b9a\u5f8b\u662f NP \u65b9\u7a0b\u5728\u96f6\u7535\u573a\u4e0b\u7684\u7279\u4f8b\uff1bNP \u65b9\u7a0b\u5219\u662f\u83f2\u514b\u5b9a\u5f8b\u5728\u5e26\u7535\u79bb\u5b50\u4e16\u754c\u91cc\u7684\u201c\u5347\u7ea7\u7248\u201d\u3002\u7406\u89e3\u8fd9\u4e00\u70b9\uff0c\u662f\u6b63\u786e\u5728 COMSOL \u4e2d\u9009\u62e9\u63a5\u53e3\u3001\u7b80\u5316\u6a21\u578b\u3001\u89e3\u91ca\u7ed3\u679c\u7684\u7b2c\u4e00\u6b65\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e8c\u3001\u7269\u7406\u56fe\u50cf\uff1a\u4e00\u6761\u901a\u91cf\u8868\u8fbe\u5f0f\u7684\u201c\u8fdb\u5316\u53f2\u201d<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u83f2\u514b\u7b2c\u4e00\u5b9a\u5f8b\uff081855\uff09<\/h3>\n\n\n\n<p>  Jdiff=\u2212D\u2207c\\mathbf{J}_\\mathrm{diff} = -D\\nabla cJdiff=\u2212D\u2207c<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4ec5\u7531\u6d53\u5ea6\u68af\u5ea6 \u2207c \u9a71\u52a8<\/li>\n\n\n\n<li>\u9002\u7528\u4e8e\u7535\u4e2d\u6027\u5206\u5b50\u6216\u201c\u7535\u573a\u53ef\u5ffd\u7565\u201d\u7684\u7a00\u6eb6\u6db2\u533a\u57df<\/li>\n\n\n\n<li>\u5728 COMSOL \u91cc\u5bf9\u5e94&nbsp;<strong>\u201c\u7a00\u7269\u8d28\u4f20\u9012\u201d<\/strong>&nbsp;\u63a5\u53e3\uff0c\u5173\u95ed\u7535\u8fc1\u79fb\u9879\u5373\u53ef<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u65b9\u7a0b\uff081890\uff09<\/h3>\n\n\n\n<p>  Ji=\u2212Di\u2207ci\u2212ziFRTDici\u2207\u03d5+ciu\\mathbf{J}_i = -D_i\\nabla c_i &#8211; \\frac{z_i F}{RT}D_i c_i\\nabla\\phi + c_i\\mathbf{u}Ji=\u2212Di\u2207ci\u2212RTziFDici\u2207\u03d5+ciu<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e09\u9879\u4f9d\u6b21\u4e3a&nbsp;<strong>\u6269\u6563<\/strong>\u3001<strong>\u7535\u8fc1\u79fb<\/strong>\u3001<strong>\u5bf9\u6d41<\/strong><\/li>\n\n\n\n<li>\u7535\u8377\u6570 z_i \u628a\u7535\u573a \u2207\u03d5 \u7684\u4f5c\u7528\u91cf\u5316\u8fdb\u6765<\/li>\n\n\n\n<li>\u5728 COMSOL \u91cc\u5bf9\u5e94&nbsp;<strong>\u201c\u7535\u5316\u5b66\u2192\u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u201d<\/strong>&nbsp;\u6216&nbsp;<strong>\u201c\u7a00\u7269\u8d28\u4f20\u9012+\u9759\u7535\u573a\u201d<\/strong>&nbsp;\u8026\u5408<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u5173\u7cfb\u5c0f\u7ed3<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u573a\u666f<\/th><th>\u4e3b\u5bfc\u65b9\u7a0b<\/th><th>COMSOL \u5b9e\u73b0<\/th><\/tr><\/thead><tbody><tr><td>\u65e0\u7535\u573a\u3001\u4f4e\u6d53\u5ea6<\/td><td>\u83f2\u514b\u5b9a\u5f8b<\/td><td>\u7a00\u7269\u8d28\u4f20\u9012\uff08\u5173\u95ed\u7535\u8fc1\u79fb\uff09<\/td><\/tr><tr><td>\u6709\u7535\u573a\u3001\u7a00\u6eb6\u6db2<\/td><td>NP \u65b9\u7a0b<\/td><td>\u7a00\u7269\u8d28\u4f20\u9012 + \u9759\u7535 \u6216 \u8150\u8680\u6a21\u5757\u2192NP<\/td><\/tr><tr><td>\u7535\u573a\u6781\u5f3a\u3001\u7535\u53cc\u5c42<\/td><td>\u4fee\u6b63 NP + Poisson<\/td><td>\u7535\u6e17\u6d41\u63a5\u53e3\u3001EDL \u8fb9\u754c\u6761\u4ef6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e09\u3001COMSOL \u4e2d\u7684\u201c\u4e09\u6863\u201d\u5efa\u6a21\u7b56\u7565<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u521d\u7ea7\uff1a\u7eaf\u6269\u6563\u2014\u2014\u201c Electroanalysis \u201d\u63a5\u53e3<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9ed8\u8ba4\u5173\u95ed\u8fc1\u79fb\u9879\uff0c\u4ec5\u6c42\u89e3\u83f2\u514b\u7b2c\u4e8c\u5b9a\u5f8b<\/li>\n\n\n\n<li>\u9002\u7528\u4e8e\u65cb\u8f6c\u5706\u76d8\u7535\u6781\u3001\u5fae\u7535\u6781\u8ba1\u65f6\u5b89\u57f9\u6cd5\u7b49\u201c\u7535\u6d41\u5c0f\u5230\u7535\u573a\u53ef\u5ffd\u7565\u201d\u7684\u573a\u666f<\/li>\n\n\n\n<li>\u8fb9\u754c\u76f4\u63a5\u7ed9\u6d53\u5ea6\u6216\u901a\u91cf\uff0c\u6c42\u89e3\u901f\u5ea6\u5feb\uff0c\u6613\u6536\u655b<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u4e2d\u7ea7\uff1a\u8fc1\u79fb+\u6269\u6563\u2014\u2014\u201cSecondary Current Distribution + NP\u201d<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7535\u89e3\u8d28\u7535\u4f4d \u03d5_l \u4e0e\u6d53\u5ea6 c_i \u53cc\u5411\u8026\u5408<\/li>\n\n\n\n<li>\u7535\u5bfc\u7387 \u03c3_l \u968f\u5c40\u90e8\u79bb\u5b50\u5f3a\u5ea6\u81ea\u52a8\u66f4\u65b0<\/li>\n\n\n\n<li>\u9002\u7528\u4e8e\u8150\u8680\u3001\u7535\u9540\u3001\u6db2\u6d41\u7535\u6c60\uff0c\u5176\u4e2d\u7535\u573a\u663e\u8457\u4f46\u6d53\u5ea6\u53d8\u5316\u4e0d\u5927<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u9ad8\u7ea7\uff1a\u5168\u8026\u5408\u2014\u2014\u201c\u7535\u6e17\u6d41\/\u7535\u53cc\u5c42\u201d\u6a21\u578b<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5f15\u5165 Poisson \u65b9\u7a0b\u6c42\u89e3\u7a7a\u95f4\u7535\u8377\uff0c\u83b7\u5f97 nm \u7ea7\u53cc\u7535\u5c42<\/li>\n\n\n\n<li>\u6d41\u4f53\u4fa7\u8026\u5408 Navier\u2013Stokes\uff0c\u58c1\u9762\u91c7\u7528 Helmholtz\u2013Smoluchowski \u6ed1\u79fb\u901f\u5ea6<\/li>\n\n\n\n<li>\u7528\u4e8e\u5fae\u6d41\u63a7\u82af\u7247\u3001\u7eb3\u6ee4\u819c\u3001\u7535\u6e17\u6cf5<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u56db\u3001\u5b9e\u6218\u6848\u4f8b 1\uff1a\u7eb3\u7c73\u5b54\u9053\u4e2d\u7684\u79bb\u5b50\u9009\u62e9\u6027<\/strong><\/h2>\n\n\n\n<p>  <strong>\u95ee\u9898<\/strong>\uff1a10 nm \u5355\u9525\u5f62\u7eb3\u7c73\u5b54\uff0c\u4e24\u7aef\u7535\u538b 1 V\uff0cKCl \u6d53\u5ea6 10 mM\uff0c\u5982\u4f55\u8ba1\u7b97 K\u207a \u4e0e Cl\u207b \u7684\u901a\u91cf\u5dee\u5f02\uff1f<\/p>\n\n\n\n<p><strong>\u5efa\u6a21\u8981\u70b9<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u51e0\u4f55\uff1a2D \u8f74\u5bf9\u79f0\uff0c\u9525\u89d2 10\u00b0\uff0c\u5c16\u7aef\u534a\u5f84 5 nm<\/li>\n\n\n\n<li>\u7269\u7406\u573a\n<ul class=\"wp-block-list\">\n<li>\u201c\u9759\u7535\u201d\u6c42\u89e3 \u2207\u00b2\u03d5 = \u2013\u03c1\/\u03b5<\/li>\n\n\n\n<li>\u201c\u7a00\u7269\u8d28\u4f20\u9012\u201d\u6dfb\u52a0 K\u207a\u3001Cl\u207b\uff0c\u6269\u6563\u7cfb\u6570 1.96\u00d710\u207b\u2079 m\u00b2 s\u207b\u00b9<\/li>\n\n\n\n<li>\u8026\u5408\u65b9\u5f0f\uff1a\u7535\u8fc1\u79fb\u9879\u81ea\u52a8\u8c03\u7528 \u2207\u03d5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u8fb9\u754c\n<ul class=\"wp-block-list\">\n<li>\u5de6\u4fa7\uff1a\u03d5 = 1 V\uff0cc = 10 mM<\/li>\n\n\n\n<li>\u53f3\u4fa7\uff1a\u03d5 = 0 V\uff0cc = 10 mM<\/li>\n\n\n\n<li>\u58c1\u9762\uff1a\u65e0\u901a\u91cf\uff08\u786c\u5899\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7ed3\u679c\n<ul class=\"wp-block-list\">\n<li>\u9633\u79bb\u5b50\u7535\u6d41 &gt; \u9634\u79bb\u5b50\u7535\u6d41\uff0c\u51fa\u73b0&nbsp;<strong>\u7535\u6d41\u6574\u6d41<\/strong><\/li>\n\n\n\n<li>\u5728\u5c16\u7aef\u51fa\u73b0&nbsp;<strong>\u6d53\u5ea6\u6781\u5316<\/strong>\u2014\u2014\u83f2\u514b\u5b9a\u5f8b\u5355\u72ec\u65e0\u6cd5\u9884\u6d4b\u6b64\u73b0\u8c61<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e94\u3001\u5b9e\u6218\u6848\u4f8b 2\uff1a\u9502\u7535\u6b63\u6781 Li\u207a \u4e92\u6269\u6563+\u7535\u8fc1\u79fb<\/strong><\/h2>\n\n\n\n<p>  <strong>\u95ee\u9898<\/strong>\uff1aLiFePO\u2084 \u9897\u7c92\u534a\u5f84 100 nm\uff0c\u8868\u9762\u5d4c\u9502\u901f\u7387\u7531 Butler\u2013Volmer \u63a7\u5236\uff0c\u5185\u90e8 Li\u207a \u5316\u5b66\u6269\u6563\u7cfb\u6570 1\u00d710\u207b\u00b9\u00b3 m\u00b2 s\u207b\u00b9\uff0c\u5982\u4f55\u83b7\u5f97\u500d\u7387\u6027\u80fd\u66f2\u7ebf\uff1f<\/p>\n\n\n\n<p><strong>\u5efa\u6a21\u8981\u70b9<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u51e0\u4f55\uff1a1D \u7403\u5bf9\u79f0\uff0cr \u2208 [0, 100 nm]<\/li>\n\n\n\n<li>\u7269\u7406\u573a\n<ul class=\"wp-block-list\">\n<li>\u201c\u7a00\u7269\u8d28\u4f20\u9012\u201d\u63a5\u53e3\u4ec5\u4fdd\u7559\u83f2\u514b\u9879\uff08\u56fa\u76f8\u65e0\u7535\u573a\uff09<\/li>\n\n\n\n<li>\u8868\u9762\u901a\u91cf\u8fb9\u754c\uff1a\u2013J_BV = i\u2080(c_s\/c_max)^0.5(\u03b7F\/RT)<\/li>\n\n\n\n<li>\u9897\u7c92\u7fa4\u5c3a\u5ea6\u7528&nbsp;<strong>\u201c\u7535\u6c60\u6a21\u5757\u2192\u5355\u7c92\u5b50\u6a21\u578b\u201d<\/strong>&nbsp;\u5c01\u88c5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7ed3\u679c\n<ul class=\"wp-block-list\">\n<li>5 C \u653e\u7535\u5bb9\u91cf\u4fdd\u6301 85 %\uff0c\u4e0e\u5b9e\u9a8c\u543b\u5408<\/li>\n\n\n\n<li>\u82e5\u9519\u8bef\u5730\u628a\u6db2\u76f8 NP \u65b9\u7a0b\u5957\u7528\u5230\u56fa\u76f8\uff0c\u4f1a\u5f97\u5230&nbsp;<strong>\u9519\u8bef\u6269\u6563\u901a\u91cf<\/strong>&nbsp;\u4e00\u4e2a\u91cf\u7ea7<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u516d\u3001\u5e38\u89c1\u5751\u4e0e\u8c03\u8bd5\u6280\u5de7<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u75c7\u72b6<\/th><th>\u53ef\u80fd\u539f\u56e0<\/th><th>\u89e3\u51b3<\/th><\/tr><\/thead><tbody><tr><td>\u6d53\u5ea6\u51fa\u73b0\u8d1f\u503c<\/td><td>\u7f51\u683c Peclet \u6570 &gt; 2<\/td><td>\u542f\u7528\u4eba\u5de5\u6269\u6563 \/ \u7ec6\u5316\u7f51\u683c \/ \u4f7f\u7528 DG \u65b9\u6cd5<\/td><\/tr><tr><td>\u4e0d\u6536\u655b<\/td><td>\u7535\u5bfc\u7387\u521d\u59cb\u503c\u96f6<\/td><td>\u7ed9 \u03c3_l \u521d\u503c 1 S m\u207b\u00b9\uff0c\u6216\u5148\u8dd1 Secondary Current \u5206\u5e03<\/td><\/tr><tr><td>\u7535\u6d41\u5bc6\u5ea6\u6bd4\u5b9e\u9a8c\u5c0f 10\u00d7<\/td><td>\u5fd8\u4e86 migration \u9879<\/td><td>\u68c0\u67e5\u201c\u7535\u8fc1\u79fb\u201d\u590d\u9009\u6846\u662f\u5426\u52fe\u9009<\/td><\/tr><tr><td>\u7eb3\u7c73\u5b54\u6a21\u62df\u7b97\u4e0d\u52a8<\/td><td>\u53cc\u7535\u5c42\u592a\u8584<\/td><td>\u4f7f\u7528 EDL \u8fb9\u754c\u6761\u4ef6\u66ff\u4ee3\u4f53\u7f51\u683c\u89e3\u6790<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e03\u3001\u4e00\u5f20\u601d\u7ef4\u5bfc\u56fe\u5e2e\u4f60\u9009\u63a5\u53e3<\/strong><\/h2>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\u6d53\u5ea6\u68af\u5ea6\uff1f \u662f\n\u251c\u2500 \u7535\u573a\u53ef\u5ffd\u7565\uff1f\n\u2502  \u251c\u2500 \u662f \u2192 \u7a00\u7269\u8d28\u4f20\u9012\uff08\u83f2\u514b\uff09\n\u2502  \u2514\u2500 \u5426 \u2192 \u80fd\u65af\u7279\u2013\u666e\u6717\u514b\n\u2502        \u251c\u2500 \u7535\u4e2d\u6027 \u2192 \u8150\u8680\/\u7535\u6c60\u2192NP\n\u2502        \u2514\u2500 \u7a7a\u95f4\u7535\u8377 \u2192 \u7535\u6e17\u6d41\u2192EDL\n\u2514\u2500 \u56fa\u76f8\u6269\u6563 \u2192 \u56fa\u76f8\u6269\u6563\uff08\u83f2\u514b\u5373\u53ef\uff09\n<\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u516b\u3001\u7ed3\u8bed\uff1a\u4ece\u7269\u7406\u5230\u4ee3\u7801\uff0c\u518d\u56de\u5f52\u7269\u7406<\/strong><\/h2>\n\n\n\n<p>  \u83f2\u514b\u5b9a\u5f8b\u50cf\u4e00\u628a\u201c\u745e\u58eb\u519b\u5200\u201d\uff0c\u7b80\u5355\u3001\u76f4\u89c2\uff0c\u5374\u53ea\u5728\u201c\u7535\u573a\u6545\u4e8b\u4e0d\u7cbe\u5f69\u201d\u65f6\u597d\u7528\uff1b\u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u65b9\u7a0b\u5219\u628a\u201c\u7535\u573a\u201d\u8fd9\u4f4d\u4e3b\u89d2\u8bf7\u56de\u821e\u53f0\uff0c\u8ba9\u4f20\u8d28\u4e0e\u7535\u8377\u771f\u6b63\u63e1\u624b\u3002COMSOL \u7684\u4ef7\u503c\uff0c\u6b63\u662f\u628a\u8fd9\u4e24\u6bb5\u7269\u7406\u7528\u540c\u4e00\u5957\u7f51\u683c\u3001\u540c\u4e00\u652f\u6c42\u89e3\u5668\u4e32\u8d77\u6765\uff0c\u8ba9\u4f60\u5728\u540c\u4e00\u5757\u5c4f\u5e55\u4e0a\u770b\u89c1&nbsp;<strong>\u6269\u6563\u8fb9\u754c\u5c42<\/strong>&nbsp;\u4e0e&nbsp;<strong>\u7535\u8fc1\u79fb\u7535\u6d41<\/strong>&nbsp;\u5982\u4f55\u6b64\u6d88\u5f7c\u957f\u3002<\/p>\n\n\n\n<p>\u4e0b\u6b21\u518d\u6253\u5f00\u6a21\u578b\u5411\u5bfc\u65f6\uff0c\u4e0d\u59a8\u95ee\u81ea\u5df1\u4e09\u53e5\u8bdd\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6211\u7684\u79bb\u5b50\u611f\u53d7\u5230\u7535\u573a\u5417\uff1f<\/li>\n\n\n\n<li>\u6d53\u5ea6\u53d8\u5316\u4f1a\u53cd\u8fc7\u6765\u6539\u53d8\u7535\u573a\u5417\uff1f<\/li>\n\n\n\n<li>\u6211\u9700\u8981\u89e3\u6790\u53cc\u7535\u5c42\u5417\uff1f<\/li>\n<\/ol>\n\n\n\n<p>  \u7b54\u6848\u4e00\u65e6\u6e05\u6670\uff0c\u63a5\u53e3\u3001\u8fb9\u754c\u3001\u6c42\u89e3\u5668\u8bbe\u7f6e\u5c31\u80fd\u201c\u6c34\u5230\u6e20\u6210\u201d\u3002\u795d\u4f60\u5efa\u6a21\u6109\u5feb\uff0c\u6536\u655b\u66f4\u5feb\uff01<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u53c2\u8003\u6587\u732e\u4e0e\u5ef6\u4f38\u9605\u8bfb<\/h3>\n\n\n\n<p>COMSOL Corrosion Module User\u2019s Guide, 2018.<\/p>\n\n\n\n<p>Modeling Electroosmotic Flow and Electrical Double Layer, COMSOL Blog, 2023.<\/p>\n\n\n\n<p>Lehigh University Thesis, 2023 \u2014 \u7535\u52a8\u529b\u591a\u5b54\u4ecb\u8d28\u4f20\u8f93.<\/p>\n\n\n\n<p>CSDN \u7535\u5316\u5b66\u4f20\u8d28\u7b14\u8bb0, 2021.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"374\" data-src=\"http:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248-1024x374.png\" alt=\"\" class=\"wp-image-999 lazyload\" data-srcset=\"https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248-1024x374.png 1024w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248-300x109.png 300w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248-768x280.png 768w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248-1536x561.png 1536w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248-624x228.png 624w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2025\/11\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u6807\u51c6\u8272\u7248.png 1710w\" data-sizes=\"(max-width: 1024px) 100vw, 1024px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1024px; --smush-placeholder-aspect-ratio: 1024\/374;\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5173\u952e\u8bcd\uff1a\u80fd\u65af\u7279\u2013\u666e\u6717\u514b\u3001\u83f2\u514b\u5b9a\u5f8b\u3001\u7535\u8fc1\u79fb\u3001\u6269\u6563\u3001COMSOL\u3001\u7535\u5316\u5b66\u3001\u4f20\u8d28 \u4e00\u3001\u5199\u5728\u524d\u9762\uff1a\u4e3a\u4ec0\u4e48\u8fd9\u4e24\u4e2a\u540d\u5b57\u603b\u4e00 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-1090","post","type-post","status-publish","format-standard","hentry","category-comsol"],"_links":{"self":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/1090","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1090"}],"version-history":[{"count":4,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/1090\/revisions"}],"predecessor-version":[{"id":1111,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/1090\/revisions\/1111"}],"wp:attachment":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1090"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1090"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1090"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}