THERMODIFFUSION EFFECTS ON UNSTEADY HYDROMAGNETIC FREE CONVECTION FLOW WITH HEAT AND MASS TRANSFER PAST A MOVING VERTICAL PLATE WITH TIME DEPENDENT SUCTION AND HEAT SOURCE IN A SLIP FLOW REGIME

An analysis has been carried out to investigate the effects of thermodiffusion on unsteady hydromagnetic free convection flow of a viscous, incompressible, electrically conducting fluid with heat and mass transfer past a moving porous vertical plate of infinite length with time dependent suction in the presence of heat source in a slip flow regime. Slip flow conditions for the velocity and jump in temperature are taken into account in the boundary conditions. A uniform transverse magnetic field is applied. The free stream velocity is considered to follow an exponentially small perturbation law. The governing equations of the problem subject to the slip flow boundary conditions are solved analytically using the perturbation method and solutions for velocity, temperature and concentration are obtained. Further, the results of the skin friction coefficient and dimensionless rate of heat and mass transfer at the plate are also presented. The numerical values for the dimensionless velocity, temperature and concentration as well as for the skin friction coefficient, dimensionless rate of heat and mass transfer are obtained and displayed graphically for pertinent parameters to show the interesting aspects of the solutions. The effects of various physical parameters over the velocity, temperature and concentration distribution as well as on skin friction coefficient, dimensionless rate of heat transfer and dimensionless rate of mass transfer at the plate are discussed in detail. Mainly, the effects of velocity ratio parameter, thermodiffusion parameter and slip parameters due to velocity and jump in temperature are brought out significantly in order to have the physical insight of the problem. It is inferred from the graphs that the velocity increases due to the effects of velocity ratio parameter, thermodiffusion parameter and slip parameter due to velocity whereas the velocity is decreased by slip parameter due to jump in temperature. It is also noted that the slip parameter due to jump in temperature suppresses the dimensionless rate of heat transfer and enhances the dimensionless rate of mass transfer. Meanwhile, the effect of thermodiffusion parameter also decreases the nondimensional rate of mass transfer.