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Effects of variable viscosity in a third grade fluid with porous medium: an analytic solution. (English) Zbl 1221.76015
Summary: This study extends the analysis of 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.
76A05Non-Newtonian fluids
76S05Flows in porous media; filtration; seepage