Effect of Hall Current and Rotation on MHD Free Convection Flow past a Vertical Infinite Plate under a Variable Transverse Magnetic Field

Abstract

In this study, the effect of Hall current and rotation on an electrically conducting fluid has been investigated. The fluid was considered to be flowing past an infinite vertical plate and under a strong variable transverse magnetic field. The flow was also turbulent due to the plate roughness and variation in physical properties. The entire system rotates about an axis normal to the plane of the plate with uniform angular velocity, . The aim of the study was to find, the effects of Hall current and Rotation on velocity profile (both primary and secondary) and Temperature distribution of the fluid. The set of equations that describe the flow are a combination of the generalized ohm’s law, Maxwell’s equations, momentum equation and equation of energy. These equations are solved numerically using the methods of finite difference approximation. Then numerical results of velocity profile and temperature distribution are analyzed using tables and graphs for Hall current parameter, and Rotational parameter, . It was observed that both Hall current and Rotation affect the Velocity profile and Temperature distribution of the fluid.