LAUSR

In this article, a comparative analysis of free convective Blasius and Sakiadis flows of a viscous fluid over a vertical porous surface is presented. The relationship between the flow rate and pressure drop as the Newtonian fluid flows past a porous medium is linear; hence Darcy model is adopted. Suitable similarity variables are employed to transform the governing non-linear partial differential equations into a set of coupled non-linear ordinary differential equations. An approximate analytical solution of the coupled ordinary differential equation is obtained using Optimal Homotopy Analysis method (OHAM). The computational results for velocity and temperature profiles are shown graphically for various flow parameters and analyzed. The results show that an increase in convective parameter leads to increase in velocity and temperature profiles. Also, increasing buoyancy parameter increases the velocity profile and decreases the temperature profiles for both Sakiadis and Blasius flow. The temperature distribution at the maximum value of Prandtl in Sakiadis case is greater than the temperature distribution at the maximum value of Prandtl even in Blasius case.