Analysis of magnetohydrodynamics effects on convective flow of dusty viscous fluid

Abstract

This paper presents a finite difference analysis of Magnetohydrodynamics (MHD) effects on convective flow of dusty viscous fluid  incorporating viscous dissipation with respect to fluid and dusty particle. The criterion for the existence and unique solution is established  and the properties of solution are examined. The dimensionless governing coupled non-linear partial differential equations governing the phenomenon were solved numerically using finite difference scheme. The effects of various parameters on the velocities are shown graphically and discussed. It is observed that both the velocity of the fluid φ and dust particles χ increases with an increase in Grashof number. Velocity of the fluid decreases with an increase in Magnetic parameter. Increase in Porosity parameter has little effects on the velocity of the fluid and that of the particle. Slight increase in volume faction of dust particles increases the velocity of the particles rapidly and increases moderately the velocity of the fluid. Increase in Mass concentration of dust particles decreases the velocity of both the fluid and particles. Also, considerable effect was noticed on the temperature ϑ by increasing the Eckert number, temperature also increased. Increase in the Prandtl number decreases the temperature of the fluid.