Nonlinear peristaltic transport of MHD flow through a porous medium
type: Item
instance of: scholarly article
title: Nonlinear peristaltic transport of MHD flow through a porous medium
zbMATH Open document ID: 1213.76204
DOI: 10.1155/S0161171203008056
author: T. H. Al-Arabi
author: Khaled S. Mekheimer
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/44738
review text: Summary: In order to determine the characteristics of peristaltic transport of magnetohydrodynamic flow through a porous medium, we analyze the motion of a hydromagnetic (electrically conducting), viscous and incompressible fluid in a plane channel filled with a homogeneous porous medium and having electrically insulated walls that are transversely displaced by an infinite, harmonic travelling wave of large wavelength. The analysis was performed using a perturbation expansion in a variable wave number. We obtain an explicit velocity field and a relation between the pressure rise and flow rate, in terms of Reynolds number, wave number, Hartmann number, permeability parameter, and the occlusion. The effects of all parameters of the problem are numerically discussed and graphically explained.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 92C35
zbMATH DE Number: 1930055
zbMATH Keywords: harmonic travelling wave
zbMATH Keywords: perturbation expansion
zbMATH Keywords: pressure rise
zbMATH Keywords: flow rate
MaRDI profile type: Publication
OpenAlex ID: W1964379997
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description: scientific article; zbMATH DE number 1930055