Influence of Hall and Slip on MHD Reiner-Rivlin blood flow through a porous medium in a cylindrical tube

Abstract

Abstract The current study aims to scrutinize the peristalsis of magnetohydrodynamics Reiner-Rivlin fluid model in a cylindrical tube through porous medium. The basic equations, including momentum, heat, and concentration are tackled in the valuable presence of Hall current, Joule heating, viscous-dissipation, and Soret effects. Moreover, slip effect is also entertained. The considered system is simplified by approximating with long wavelengths and very low Reynolds numbers. Perturbation technique is chosen to obtain the closed form analytical solutions. The impact of influential parameters is presented through plots and physically discussed in detail. The main conclusions of this work are that the velocity and temperature fields exhibit opposite behavior for the Hartman number and Hall parameter. The slip parameter has minimizing impact on velocity distribution. The fluid velocity tends to increase when Reiner-Rivlin fluid parameter is incremented. The Darcy number has upgrading impact on fluid temperature. The solute concentration minifies when slip parameter is incremented. It can be visualized that size of trapped bolus becomes larger on increasing the value of Hall and slip parameter.