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

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DOI: 10.4236/am.2013.48A018    3,862 Downloads   5,875 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Kousar and R. Mahmood, "Series Solution of Non-Similarity Boundary-Layer Flow in Porous Medium," Applied Mathematics, Vol. 4 No. 8A, 2013, pp. 127-136. doi: 10.4236/am.2013.48A018.

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