Nonlinear peristaltic transport of MHD flow through a porous medium.
Mekheimer, Kh. S., Al-Arabi, T. H. (2003)
International Journal of Mathematics and Mathematical Sciences
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Nonlinear peristaltic transport of MHD flow through a porous medium.
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We study pressure-driven, two-layer flow in inclined channels with high density and viscosity contrasts. We use a combination of asymptotic reduction, boundary-layer theory and the Karman-Polhausen approximation to derive evolution equations that describe the interfacial dynamics. Two distinguished limits are considered: where the viscosity ratio is small with density ratios of order unity, and where both density and viscosity ratios are small. The evolution equations account for the...