MHD free convection flow and heat transfer of a dissipative fluid over a vertical porous plate with variable thermal onductivity

In this present work the effects of MHD free convection flow and heat transfer of a dissipative fluid along a vertical porous plate with thermal conductivity depending on temperature and mass transfer, the surface of which is exposed to a constant heat flux. Numerical solutions of the Navier–Stokes equations, concentration equation, energy equation and mass 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. Velocity, temperature and concentration profiles, local skin-friction, local Nusselt and local Sherwood numbers are plotted for air. The influence of the Suction rate parameter, buoyancy ratio parameter, porous media parameter, dissipation number, thermal conductivity variation parameter, Schmidt number and magnetic parameter on heat and mass transfer are discussed.

Keywords:

variable thermal Conductivity , MHD free convection , dissipative fluid , Mass transfer , porous plate