STUDY THE IMPACT OF HEAT GENERATION AND VARIABLE VISCOUS EFFECT ON STRETCHING SHEET IN PRESENCE OF MAGNETIC FIELD WITH VARIABLE THERMAL CONDUCTIVITY

Abstract

The aim of the study is to investigate the effect of variable viscosity and thermal conductivity on unsteady MHD boundary layer flow of an incompressible, electrically conducting and viscous fluid over a stretching sheet with heat generation by Quasi-linearization technique. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation and stretching variable. The governing momentum boundary layer and thermal boundary layer equations with the boundary conditions are transformed into a system of first order ordinary differential equations which are then solved numerically by using Runge-Kutta fourth-fifth order method along with shooting technique. The effects of the flow parameters on the velocity, temperature, shearing stress and rate of heat transfer are computed discussed and have been graphically represented in figures and Table-1 and Table-2 for various values of different parameters. The results presented graphically illustrate that velocity field decrease due to increasing of Magnetic parameter, unsteadiness parameter and heat source parameter and reverse trend arises for the increasing values of variable viscosity parameter and variable thermal conductivity parameter. The temperature field decreases for the effect of variable viscosity parameter and variable thermal conductivity parameter but the temperature field increases for the increasing values of magnetic parameter, unsteadiness parameter, heat source parameter, whereas for the effect of Prandtl number the temperature profile is increased on the surface of the plate and decreased away from the plate.