Investigating Magnetohydrodynamics Two-phase Flow of Jeffrey Fluid with Magnetic Particles Under the Influence of Viscous and Magnetic Dissipation

Abstract

This study aims to investigate the influence of magnetic particle concentration, Darcy number, Brinkman number, and Hartmann number on the steady magnetohydrodynamics (MHD) of two - phase flow of Jeffrey fluid with magnetic particles considering the effects of viscous and magnetic dissipation. The flow occurs between two parallel porous plates. The upper plate is stationary, while the lower plate slides due to the pressure and velocity gradients. The governing equations were solved using method of perturbation. The impact of these variables on the fluid’s temperature and velocity profiles are analyzed through graphical representation. An increase in magnetic particle concentration at the lower pressure (0.01) decreases the fluid velocity, whereas at higher pressures (5.0), the fluid velocity increases, with no effect on the fluid temperature. Additionally, an increase in the Brinkman number, irrespective of the pressure has no impact on the fluid velocity but leads to a rise in fluid temperature.