Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box

Abstract

In this research, the Ekman boundary layer flow and heat transfer in porous medium with large value of suction parameter is studied. The governing equations which are the momentum equation and energy equation are derived based on the principle of conservation law. The obtained dimensional governing equations are transformed into non-dimensional equations by using appropriate non-dimensional variables. The numerical solutions of the non-dimensional governing equations are obtained by using the implicit finite difference scheme known as the Keller-Box method. These numerical results of primary velocity, secondary velocity, and temperature profiles are displayed and analyzed through graphs. The solutions obtained satisfy all imposed boundary conditions. Results for wall shear stress and heat coefficient are displayed and analyzed through graphs and tables. The results show that, primary velocity increases with increasing Grash of number and Eckert number, while it decreases with increasing Prandtl number and permeability parameter. The secondary velocity increases with increasing of suction parameter, while the effect of Ekman number gives the opposite behavior. The fluid temperature is increasingly affected by Prandtl number. There is no effect of rotation on temperature. The primary shear stress at the wall increases in case of strong values of Grash of and Eckert numbers, while it decreases with the rise of Prandtl number, suction and permeability parameters. The secondary shear stress at the wall increases with rising suction parameter, while it decreases with increasing of Ekman number.