The current work is undertaken to analyze the movement of fluid and thermal energy due to uneven wall heating of a porous medium confined in a cavity. The emphasis is given to heating at bottom wall of the trapezoidal cavity with uniform and non-uniform temperature which leads to lesser amount of heat content at lower section of the porous medium and also to study effect of radiation. The boundary conditions are maintained in such a way to heat the bottom surface of the cavity unevenly with power law coefficient λ. The top horizontal surface of cavity is cold and two inclined walls are adiabatic. Current numerical scheme is based on finite element method that yields the solution to know the temperature and velocity distribution in the domain. It is found that the Nusselt number is generally higher in the middle portion of the cavity. With power law coefficient λ, the heat transfer rate found to increase continuously until around 50% of the cavity length and then starts to decrease. The average Nusselt number increases with increase in radiation parameter.