= Well-mixed ventilation temperature balance
{title2=$\mathcal V\dot\theta=\mathcal H-|q|\theta$}
For a distributed <heat> source, a well-mixed interior with <temperature> excess $\theta$ gains temperature-volume flux $\mathcal H$ and loses $|q|\theta$ by ventilation in either direction. With signed upward throughflow, $q|q|=K_A(G_T\theta\pm W)$, where $G_T=g\alpha_TH_b$ and $W$ is wind <pressure> divided by <mass density>. The plus sign is assisting wind. Steady temperatures satisfy $\theta^2(G_T\theta+W)=\mathcal H^2/K_A$ for assistance, or $\theta^2|G_T\theta-W|=\mathcal H^2/K_A$ for opposition. Direction restrictions must be applied to roots.
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