Effect of magnetic field and heat transfer on peristaltic flow of a micropolar fluid through a porous medium

Abstract

This paper presents a numerical study of the peristaltic flow of a micropolar fluid through a porous medium have been studied under the long-wavelength and low Reynolds number approximation. The system of differential equations is solved numerically using the NDSolve Mathematica. The numerical study investigates the effects of magnetic field, heat transfer on the peristaltic flow of a micropolar fluid through a porous medium induced by sinusoidal peristaltic waves traveling down the channel wall in symmetric channel. The effects of various parameters like coupling number, the Hartman number, the micropolar parameter, the permeability, the viscosity constant of the classical fluid dynamics and the thermal radiation, etc. on velocity profiles, temperature and micropolar rotation. Numerical results are computed and discussed numerically and presented through graphs. The impacts of pertinent parameters on the aforementioned quantities are examined by plotting graphs on the basis of computational results. The results indicate that the effect of parameters is very pronounced.