Finite Difference Analysis of the Effects of MHD on Continuous Dusty Fluid with Volume Faction of Dust Particles

Abstract

This paper presents a mathematical model of an incompressible, conducting fluid embedded with non-conducting dust particles describing the effects of Magnetohydrodynamics (MHD) on a continuous dusty viscous fluid with volume faction of dust particles incorporating viscosity in the presence of uniform magnetic field. The stretching velocity and wall temperature are assumed to vary accordingly. The dimensionless coupled partial differential equations governing the phenomenon were solve numerically. Solutions were obtained for the velocity of the fluid, dust particles and fluid temperature within the channel. The effects of the various parameters on both the velocity of the fluid and dusty particles as well as the temperature are shown graphically and discussed. It was found that both velocity of the fluid and dust particles increase with the decrease in porous parameter. Increase in volume faction of dust particles increases the velocity of the particles rapidly and increases moderately the velocity of the fluid. Temperature of the fluid also decreases with the increase in Prandtl number.