Rotation effect on a fluid model exhibiting thermo-diffusion in a porous environment subject to convective boundary conditions through a slanted conduit

Abstract

The goal of this work is to show how important the rotation effect is by using a model that simulates thermo-diffusion in a porous material. The model incorporates convective boundary conditions and an inclined conduit to provide a comprehensive analysis. Hall current and thermal flux’s prospective repercussions are considered. We assume a long wavelength and a low Reynolds number to approximate the solution of the governing equations of motion. The current investigation has substantial significance for several medical scenarios, including the movement of gastric fluid inside the intestinal tract and blood circulation in arteries. Utilizing a peristaltic transport mechanism with minor stenosis, industries such as water purification and the production of artificial hearts and lungs have used the transport mechanism. Various physical attributes of the issue are discussed, and their graphic effects are illustrated. Increasing the porosity parameter, hall current parameter and grashof number causes the velocity distribution to enhance, whereas increasing the biot number causes it to diverge. The radiation parameter and Prandtl number improve as temperature distribution extends, whereas the biot number worsens it. The magnitudes of the skin friction coefficient and the nusselt number exhibit a positive correlation with both the Prandtl number and the radiation parameter. Moreover, the present study compares the numerical velocity values with those reported in a previously published publication.