Method of Lines Analysis of MHD Effect on Convective Flow of Dusty Fluid in the Presence of Viscous Energy Dissipation

Abstract

This paper investigates the effects of Magnetohydrodynamics (MHD) on convective flow of dusty fluid with viscous energy dissipation. the governing partial differential equations (PDEs) in dimensionless form are solved numerically and analyzed using semi-discretization method known as Method of Lines (MOL). the effects of different flow parameters on the velocity profiles of both the fluid and the particles as well as the temperature profile of fluid are examined and presented graphically. It is observed that the velocity of the fluid and the dust particle increases with increase in Grashof number. Also, the velocity of the fluid and the particle decreases with increase in magnetic parameter. Moreso, increase in Prandtl number reduce temperature of the fluid.