Abstract
The effect of viscous dissipation on non-Darcy entire mixed convection regime into natural convection dominated regime in a porous medium form a vertical plate with non-uniform wall temperature incorporating the variation of permeability and thermal conductivity is investigated. The governing equations reduced to local non-similarity boundary layer equations using suitable transformation. An appropriate transformation is employed and the transformed equations are solved numerically using the second-level local non-similarity method. Comparisons with previously published work are performed and the results are found to be in excellent agreement. Numerical values of the rate of heat transfer for two cases, uniform permeability (UP) and variable permeability (VP), are presented in tabular form for different values of inertia parameter, Gebhart number, mixed convection parameter and power-law variation of the wall temperature parameter Velocity and temperature profiles are also calculated at different values of the governing parameters for both UP and VP cases and presented graphically.