Numerical analysis of flow and heat transfer of a viscoelastic fluid over a stretching sheet

Abstract

Purpose The purpose of this paper is to study the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel and employ the homotopy analysis method (HAM) to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. Design/methodology/approach In this paper, a study of the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel is presented and the HAM is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide‐range applications of the HAM in comparison with the numerical method in solving this problem. Findings The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. Originality/value In this paper, a study of the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel is presented and the HAM is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. The paper shows the capabilities and wide‐range applications of the HAM in comparison with the numerical method in solving this problem. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy.