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传热传质中的控制方程
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<p>本文参考商业软件 COMSOL Multiphysics 中传热相关物理场</p>
</blockquote>
<h2 id="固体与流体传热">固体与流体传热</h2>
<h3 id="基本控制方程">基本控制方程</h3>
<p><span class="math display">\[
\rho C_p \frac{\partial T}{\partial t} + \rho C_p \boldsymbol{u} \cdot
\nabla T + \nabla \cdot \boldsymbol q = Q + Q_\text{ted}, \\
\boldsymbol{q} = -k\nabla T.
\]</span></p>
<h3 id="边界条件">边界条件</h3>
<h2 id="表面对表面辐射传热">表面对表面辐射传热</h2>
<h3 id="基本控制方程-1">基本控制方程</h3>
<p><span class="math display">\[
J = \varepsilon e_\text{b}(T) + \rho_\text{d}G, \\
G = G_\text{m} + G_\text{amb} + G_\text{ext}, \\
G_\text{amb} = F_\text{amb}
\varepsilon_\text{amb}e_\text{b}(T_\text{amb}), \\
e_\text{b}(T) = n^2 \sigma T^4.
\]</span></p>
<h3 id="边界条件-1">边界条件</h3>
<h2 id="section"></h2>
<h2 id="小结">小结</h2>
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