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Channel flow of a Maxwell fluid with chemical reaction. (English) Zbl 1133.76053
Summary: This work is concerned with the two-dimensional boundary layer flow of an upper-convected Maxwell fluid in a channel with chemical reaction. The walls of the channel are porous. Employing similarity transformations, the governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations. The resulting ordinary differential equations are solved analytically using homotopy analysis method. Expressions for series solutions are derived. The convergence of the obtained series solutions is shown explicitly. The effects of Reynolds number, Deborah number, Schmidt number and chemical reaction parameter on the velocity and concentration fields are shown through graphs and discussed.

MSC:
76V05 Reaction effects in flows
76A10 Viscoelastic fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76S05 Flows in porous media; filtration; seepage
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
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