Hall Effects on Unsteady MHD Free Convective Flow Past an Accelerated Moving Vertical Plate with Viscous and Joule Dissipations

Abstract

Hall effects on an unsteady MHD free convective flow of a viscous incompressible electrically conducting fluid past a uniformly accelerated vertical plate in the presence of a uniform transverse applied magnetic field have been investigated on taking viscous and Joule dissipations into account. The governing partial differential equations have been solved numerically by applying a Crank-Nicolson's type of implicit finite difference method with a tri-diagonal matrix manipulation and an iterative procedure. The variations of the fluid velocity components and temperature distribution are presented graphically. It is found that the fluid velocity components are significantly affected by Hall parameter. An increase in Eckert number leads to rise in the fluid velocity components and temperature distribution. Further, it is found that the magnitude of the shear stress components at the plate increase with an increase in either Hall parameter or Eckert number or Prandtl number. The rate of heat transfer at the plate decreases with an increase in either Eckert number or Prandtl number or time.