Longitudinal conduction effects on both the fluid and the wall of a porous microchannel.

In previous works, the conjugate heat transfer problem was studied in a porous microchannel between parallel plates, subjected to a uniform heat flux on the external wall of the microchannel; the parameter $\alpha $\textunderscore c/$\varepsilon $\textunderscore h\textasciicircum 2 was a dimensionless conjugate heat transfer parameter in the wall, played a crucial role in the temperature profiles of both the fluid and the wall. However, in this work another parameter $\alpha $\textunderscore c/$\varepsilon $\textasciicircum 2 is analyzed, which fulfills the role of being a dimensionless conjugate heat transfer parameter in the fluid. Therefore, it is necessary to analyze in a coupled way, the transversal and longitudinal heat conduction effects on the porous medium and on the microchannel wall.