Inertial aftermaths on peristaltic drive of MHD micropolar fluid in a two-dimensional asymmetric inclined porous soaked channel independent of wavelength: Galerkin finite element simulation

Abstract

This manuscript presents a detailed investigation of the peristaltic propulsion of a micropolar fluid in an inclined asymmetric channel, which is also subjected to a magnetic field applied in the normal direction. The medium is considered to be a porous, saturated environment. Unlike traditional lubrication theory, which often assumes long wavelengths and negligible Reynolds numbers, our analysis does not adhere to these constraints. This approach introduces nonlinearity into the modeled equations and allows for significant Reynolds numbers, thereby enhancing our understanding of the peristaltic phenomenon. Numerical solution of coupled partial differential equations is gained by employing a novel Galerkin built finite element method and is presented through graphs of velocity and pressure distributions in accordance with variation in several flow parameters. Streamlines’ gyration, microrotation, and vorticity for different configurations that emerged with varying phase transitions are displayed in this regard as well. It is confessed that peristaltic mixing diminishes for all values of phase differences as the permeability parameter increases, while a rising Hartmann number significantly exacerbates this effect. In addition, the microrotation of micropolar particles is observed to become increasingly distorted with higher Reynolds numbers. Furthermore, the pressure rise throughout both pumping and co-pumping regions is enhanced when the inclined channel is subjected to a greater angle of inclination.