THE SOLUTION OF FALKNER-SKAN FLOW AND HEAT TRANSFER OVER A WEDGE WITH SLIP BOUNDARY CONDITION USING HOMOTOPY ANALYSIS METHOD (HAM)

In this paper, we conducted a theoretical study for the flow and heat transfer of forced convective boundary layer flow over a horizontal flat plate with velocity slip and temperature jump in an impermeable medium. The pressure gradient and Prandtl number are taken into account for the similarity solutions, which are presented for the dimensionless velocity distribution, and temperature distribution in the boundary layer. The effects of involved parameter such as velocity slip, temperature jump, and Prandtl number on velocity and temperature profiles are presented graphically and analyzed. The results reveals that increasing in velocity slip parameter resulted to increases in the velocity distribution while the temperature jump parameter in temperature distribution shows thinner as the thermal boundary layer thickness increases. Increase in pressure gradient leads to increase in the hydrodynamic boundary layer thickness and decrease in the thermal boundary layer thickness. Moreover, the numerical results are compared with the analytical solutions obtained by homotopy analysis method with very good agreement to validate the present results.