Two-sided convective heat transfer

Sam

Hello All,

This is not a CFD question, but rather a numerical analysis question.

I am trying to solve for the temperatures on a plate. The plate is under convective heat transfer from both sides (inside and out). The convection coefficients on both sides are known. However, the convection coefficients are defined with respect to their own adiabatic wall temperatures. That is, the adiabatic wall temperatures for the internal and external convection coefficients are not the same.

h = q / (T - T_aw)

How can I solve for the plate temperatures? Anybody know an iterative scheme??

Thanks in advance,