SsPeristaltic activity in an asymmetric inclined channel with inertial forces under the inducement of magnetic field: Finite Element Method

Abstract

This manuscript is presented to investigate peristaltic phenomenon of a flow driven peristaltically in an asymmetric inclined channel under the influence of externally applied magnetic field without employing the assumption of long wavelength and smaller Reynolds number assumptions which permit the effects of dominant inertial forces and to solve the Navier-Stokes equations in full form. The numerical results are obtained with help of finite element numerical scheme with Galerkin’s residual procedure. A comparative analysis for the obtained numerical data is performed in view of already reported studies and a favorable accuracy of results is noticed. The effects of other involved parameters are also presented in suitable graphs. Trapping and pumping phenomena is also discussed. It is found that trapped bolus shape is increased with increment of Hartmann number which tends to move towards central region of asymmetric channel and is predicted that trapped bolus will disappears at large Reynolds number. The pressure in peristaltic pumping region is enhanced by increasing angle of inclination.