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Zbl 1221.76015
Ellahi, R.; Afzal, S.
Effects of variable viscosity in a third grade fluid with porous medium: an analytic solution. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2056-2072 (2009). ISSN 1007-5704

Summary: This study extends the analysis of {\it T. Hayat, S. Asghar} and the first author [Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 300--313 (2007; Zbl 1102.76003)] in a porous medium by employing modified Darcy's law. Beside this Reynolds and Vogels models of temperature dependent viscosity are considered. The problem is solved using homotopy analysis method (HAM). Expressions of velocity and temperature profiles are constructed analytically and explained with the help of graphs.

MSC 2000:: *76A05 Non-Newtonian fluids
76S05 Flows in porous media

Keywords: analytical solution; third grade; porous medium

Citations: Zbl 1102.76003

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