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(\rho \,c_{pt})_p \frac{\partial T}{\partial t}
- \sum_\alpha \rho_\alpha \ c_{p \alpha} \ \eta_{s \alpha} \ \frac{\partial P_\alpha}{\partial t}
+ \sum_\alpha \rho_\alpha \ c_{p \alpha} \ u_\alpha \frac{\partial T}{\partial l}
\ = \ \frac{1}{ \pi r_f^2} \ \sum_\alpha \rho_\alpha \ c_{p \alpha} T_\alpha \frac{\partial T_\alpha q_\alpha}{\partial l} |
where
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