Micropolar flow in a porous channel with high mass transfer

N. A. Kelson, A. Desseaux, T. W. Farrell


Two dimensional flow of a micropolar fluid in a porous channel is investigated. The flow is driven by suction or injection at the channel walls, and the micropolar model due to Eringen is used to describe the working fluid. An extension of Berman's similarity transform is used to reduce the governing equations to a set of non-linear coupled ordinary differential equations. The latter are solved for large mass transfer via a perturbation analysis where the inverse of the cross-flow Reynolds number is used as the perturbing parameter. Complementary numerical solutions for strong injection are also obtained using a quasilinearisation scheme, and good agreement is observed between the solutions obtained from the perturbation analysis and the computations.

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DOI: https://doi.org/10.21914/anziamj.v44i0.692

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.