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Homotopy solutions for a generalized second-grade fluid past a porous plate. (English) Zbl 1094.76005
Summary: We study the flow of a second-grade fluid past a porous plate subject to either suction or blowing at the plate. A modified model of second-grade fluid that has shear-dependent viscosity and can predict the normal stress difference is used. The differential equations governing the flow are solved using homotopy analysis method. Expressions for the velocity have been constructed and discussed with the help of graphs. Analysis of the obtained results shows that the flow is appreciably influenced by the material and normal stress coefficients. Several results are deduced as particular cases of the presented analysis.

MSC:
76A05 Non-Newtonian fluids
76S05 Flows in porous media; filtration; seepage
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
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