Numerical Analysis of Variable Fluid Viscosity Past a Symmetrical Sharp Wedge Shape in the Presence of a Transverse Magnetic Field

Abstract

This study deals with the numerical analysis of variable fluid viscosity on the flow and heat transfer of viscous incompressible non-Newtonian fluidflowing past a symmetrical sharp wedge under the effect of a transverse magnetic field. The flow of viscous fluid is governed by partial differential equations which are reduced into non-linear ordinary differential equations and then the numerical solutions of these equations are obtained with help of MATLAB software using ode45 solver. It has been found that the radial and axial components of the velocities increase sharply with the enhancement of the magnetic field but decreases with the increase of the temperature dependent viscosity parameter.  It has been also observed that the heat transfer ofthe fluid increases slightly with increase of magnetic parameter. The results have been shown with graphics for the different set of parameters. 

Keywords: Hartmann Number, Prandtl Number, Sharp Wedge, Falkner-Skan Exponent and Variable Fluid Viscosity.

Mathematics Subject Classification (2010):76S05, 76W05