Homotopy Perturbation Method of Hydromagnetic Flow and Heat Transfer of a Casson Fluid over an Exponentially Shrinking Sheet

Nonlinear hydromagnetic flow and heat transfer of a Casson fluid over an exponentially shrinking sheet has been investigated. The fluid is assumed to be viscous, incompressible and electrically conducting. The similarity transformations are applied to reduce the non-linear partial differential equations into the non-linear ordinary differential equations. Homotopy Perturbation Method is used to solve the resulting non-linear differential equations under appropriate boundary conditions. The impact of Casson fluid parameter, magnetic interaction parameter, suction parameter and Prandtl number on both velocity and temperature profiles are shown graphically. Thermal boundary layer thickness decreases with increasing Prandtl number. Effect of Casson fluid parameter is to reduce both the velocity and temperature. Quantities of physical interest such as skin-friction coefficient, non-dimensional rate of heat transfer are solved numerically. A comparison reveals a remarkable agreement between the Homotopy Perturbation Method and Runge-Kutta fourth order method