Transport

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\( \begin{eqnarray} \frac{D T}{D t}&=&\frac{\pd }{\pd z} (\kappa \frac{\pd T}{\pd z}) +\hat{Q},\label{tr1}\\ \kappa \frac{\pd T}{\pd z} &=& \hat{T}, \mbox{ at } z=\eta, \label{tr2} \\ \kappa \frac{\pd T}{\pd z} &=& \hat{T_b}, \mbox{ at } z=-h, \label{tr3} \end{eqnarray} \)