Nonlinear peristaltic transport of MHD flow through a porous medium
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.
scientific article; zbMATH DE number 1930055