A two-equation model for thermally developing forced convection in porous medium with viscous dissipation

This study extends the earlier work on fully developed convection with viscous dissipation in the fluid phase and in the presence of a porous medium, by including the thermally developing effects. The governing two-equation model is solved by finding the particular and homogeneous solutions. The characteristics of temperature profiles along the axial direction when solid conduction is dominant, are distinctive in the two-equation model, unlike the local thermal equilibrium model. The local heat transfer coefficients depend strongly on the relative thermal resistance to fluid and solid conduction and to a lesser extent on Brinkman number and porous medium shape factor.