Effects of different nanoparticles on the flow of two immiscible liquids in an inclined channel with Joule heating and viscous dissipation

Abstract

The problem of magnetohydrodynamics of immiscible liquid flow in a channel having inclined orientation with porous space and different types of nanoparticles has been investigated. The channel is separated into two regions. The lower region is filled with Al2O3-water, and the upper region is occupied by Cu-water. The governing equations are numerically solved using R-K 4th-order with a shooting technique to highlight the effect of the magnetic field parameter, Grashof number, inclination angle, viscous dissipation, and the ratio of permeability of two regions. As the Hartmann number increases, there are two regions where the fluid’s temperature and velocity decrease. The effects of different nanoparticle combinations on flow variables have also been discussed. Tabulated numerical data for the distribution of shear stress are provided for a range of physical parameters.