Steady filmwise condensation with suction on a finite-size horizontal flat plate embedded in a porous medium based on Brinkman and Darcy models

The steady filmwise condensation outside a finite-size horizontal plate covered with a thick porous medium layer is investigated numerically by boundary layer approximations and Brinkman model. The fourth-order Runge–Kutta scheme and shooting method are employed to solve numerically the nonlinear ordinary differential equation. The results are presented in terms of the dimensionless average Nusselt number and the dimensionless condensate thickness . It is shown from the results presented that the Nusselt number increases with increasing suction parameter and it is also the function of various parameters, such as Darcy number, Da, Jacob number, Ja, Prandtl number, Pr, modified Rayleigh number for a porous medium, Ra, and permeability parameter, λ0. It is also shown that the boundary effect plays an important role for the condensation heat transfer rate in a porous medium.