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Homotopy analysis method to Walter’s B fluid in a vertical channel with porous wall. (English) Zbl 1258.76027

Summary: In this research the steady three-dimensional flow of a Walter’s B fluid in a vertical channel with porous wall, through which the fluid is injected uniformly into the channel through one side of the channel, is studied analytically using Homotopy Analysis Method (HAM). The channel is assumed to be infinite and uniform. The effects of the elasticity of the fluid on the flow and heat transfer on the walls of the channel are discussed.

MSC:

76A10 Viscoelastic fluids
76S05 Flows in porous media; filtration; seepage
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)

References:

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