New Analytical Solution of Stagnation Point Flow and Heat Transfer in a Porous Medium

Abstract

A new analytical method called q-homotopy analysis method is applied for solving nonlinear differential equations. In this paper, the mathematical study of stagnation points flow and heat transfer phenomena in a porous medium are discussed. The governing coupled nonlinear partial differential equations are converted into coupled nonlinear ordinary differential equations using similarity transformations and solved analytically for the values of Prandtl number Pr, Porous medium K, Casson fluid parameter β, Ratio parameter c using q-homotopy Analysis Method. The influence of the skin-friction coefficients for different parameters is discussed and presented in tabular form. The obtained q-homotopy analysis method solutions are compared with numerical results and it gives a remarkable accuracy.