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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Journal of Porous Media

DOI: 10.1615/JPorMedia.v14.i6.50
pages 523-532

FLOW AND HEAT TRANSFER DUE TO STRETCHING SURFACE IN AN ANISOTROPIC POROUS MEDIUM FILLED WITH A VISCOELASTIC FLUID

Tasawar Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
M. Mustafa
Department of Mathematics, Quaid-I-Azam University
Ioan Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
Saleem Obaidat
King Saud University

RÉSUMÉ

This paper presents a theoretical analysis of the steady boundary layer flow and heat transfer induced by a linearly stretching surface in an anisotropic porous medium filled with a viscoelastic fluid. The governing partial differential equations are converted into a set of ordinary differential equations by the use of similarity transformation. The flow is, therefore, governed by the dimensionless anisotropic parameter, a; Darcy number, Da*; dimensionless viscoelastic parameter, K; viscosity ratio parameter, M; and Prandtl number, Pr. The resulting ordinary differential equations are successfully solved analytically using the homotopy analysis method. The variations of the skin-friction coefficient and the local Nusselt number as functions of the governing parameters are presented in tables and graphs. The results presented in this paper reveal that the solution of the present problem is given by Eq. (31), which is shown to be convergent in the whole region of the similarity variable η when hf = −0.5 and hθ = −1.6.

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