Series Solution of Non-Similarity Boundary-Layer Flow in Porous Medium

Nabeela Kousar, Rashid Mahmood

Department of Mathematics, Faculty of Basic and Applied Sciences, Air University, Islamabad, Pakistan.

DOI: 10.4236/am.2013.48A018                

Abstract

This paper aims to present complete series solution of non-similarity boundary-layer flow of an incompressible viscous fluid over a porous wedge. The corresponding nonlinear partial differential equations are solved analytically by means of the homotopy analysis method (HAM). An auxiliary parameter is introduced to ensure the convergence of solution series. As a result, series solutions valid for all physical parameters in the whole domain are given. Then, the effects of physical parameters γ and Prandtl number Pr on the local Nusselt number and momentum thickness are investigated. To the best of our knowledge, it is the first time that the series solutions of this kind of non-similarity boundary-layer flows are reported.

Keywords

Non-Similarity; Boundary-Layer Flow; Porous Wedge; Series Solution; Homotopy Analysis Method

Conflicts of Interest

The authors declare no conflicts of interest.

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