Influence of Hall Current and Buoyancy Distribution On MHD Time Dependent Heat Mass Transfer

Abstract

We have conducted analytical investigations to study the influence Hall current and Buoyancy distribution on (MHD) unsteady heat and mass transfer free convective in vertical channels. Appropriate dimensional quantities were used in changing the dimensional governing partial differential equations to non-dimensional form. An analytical method of variables separable was employed in finding the analytical solution of dimensionless governing partial differential equations. The expressions of velocity, temperature, concentration, skin friction, Nusselt number as well as Sherwood number were gotten analytically and discussed using line graph. From the result obtained, it was observed that velocity profile enhances with the increase of Grasshop number (Gr), Mass Grasshop number (Gc), Hall current (m) and Buoyancy parameter (rt). While it reduces with the increase of Magnetic parameter (M) and Pradlt number (Pr). Similarly, temperature profile enlarges with the increase of Radiation parameter (R) and Buoyancy parameter (rt). While the opposite behaviour was observed with the increase of Pradlt number (Pr). Concentration profile diminishes with the increase of both Chemical reaction parameter (Kr) and Schmidt number (Sc). Skin friction gets enhanced with the increase of and Buoyancy parameter (rt) at both y=0 and y=1 and gets reduced with the increase of Hall current parameter (m) at both y=0 and y=1. Nusselt number enlarges with the increase of Radiation parameter (R) at both y=0 and y=1. While it gets lowered with the increase of Buoyancy parameter (rt) at both y=0 and y=1. Sherwood number slightly increase with the increase of chemical reaction parameter (Kr) at both y=0 and y=1 and significantly decrease with the increase of Schmidt number (Sc) at both y=0 and y=1.