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Homotopy solution for the channel flow of a third-grade fluid. (English) Zbl 1100.76005
Summary: The solution for the flow of a third-grade fluid bounded by two parallel porous plates is given using homotopy analysis method (HAM). A comparison is made with the exact numerical solution for various values of physical parameters. It is found that a proper choice of an auxiliary parameter occurring in HAM solution gives very close results.

76A05Non-Newtonian fluids
76M45Asymptotic methods, singular perturbations (fluid mechanics)
76S05Flows in porous media; filtration; seepage
Full Text: DOI
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