Time-Dependent Axial Velocity and Temperature-Dependent Viscosity Effects on MHD Free Convection Flow and Heat Transfer of a Dissipative Fluid over a Vertical Moving Cylinder

摘要

Numerical solutions are obtained for the Temperature-Dependent Viscosity Effects on MHD free convection flow of a dissipative fluid over a vertical moving cylinder with time-dependent axial velocity, the surface of which is exposed to a constant wall temperatures. Numerical solutions of the Navier-Stokes equations, concentration equation and energy equation are derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The semi-similar solution of the Navier-Stokes equations, concentration equation and energy equation has been obtained numerically using by the implicit finite difference scheme of Crank-Nicolson's type. The velocity, concentration and temperature profiles for different values of cylinder axial velocity are plotted. The influence of the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, viscosity-variation parameter and magnetic parameter for different values of cylinder axial velocity on free convection flow and heat transfer are discussed. It is observed that, when Prandtl number increases the velocity and temperature decrease in the boundary layer. Also, it is found that as increase in the magnetic parameter leads to decrease in the velocity feld and rise in the thermal boundary thickness.