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Journal of Porous Media
Импакт фактор: 1.49 5-летний Импакт фактор: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508

Выпуски:
Том 22, 2019 Том 21, 2018 Том 20, 2017 Том 19, 2016 Том 18, 2015 Том 17, 2014 Том 16, 2013 Том 15, 2012 Том 14, 2011 Том 13, 2010 Том 12, 2009 Том 11, 2008 Том 10, 2007 Том 9, 2006 Том 8, 2005 Том 7, 2004 Том 6, 2003 Том 5, 2002 Том 4, 2001 Том 3, 2000 Том 2, 1999 Том 1, 1998

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
S. Obaidat
Department of Mathematics, King Saud University

Краткое описание

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.

Ключевые слова: series solution, viscoelastic fluid, heat transfer

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