Velocity Slip Effect on Unsteady Magnetohydrodynamic (MHD) Flow of Casson Fluid in the presence of Soret and Heat Source Mechanisms

Velocity slip effect on unsteady Magnetohydrodynamic (MHD) flow of Casson fluid in the presence of Soret and heat source mechanisms has been studied. The governing equations are: momentum, energy and mass equations. The governing partial differential equations (PDEs) of the problem are transformed from dimensional to dimensionless forms using appropriate variables. The non-linear coupled PDEs are solved analytically by regular perturbation method to obtain the velocity, temperature and concentration of the fluid. The coefficients for skin-friction, Nusselt and Sherwood numbers were also derived. Computations were performed for important flow parameters viz. Thermal diffusion (Soret), heat source parameter, magnetic field parameter, Prandtl number, thermal radiation, thermal and mass Grashof number and Schmidt number which were graphically shown and discussed. The obtained results have been validated with published studies. The most significant conclusion of this work is that as Soret number and Casson parameter increase the velocity of the fluid becomes higher while a reverse trend is seen as heat source parameter is increased. Additionally, the mass boundary layer of the fluid rises due to an increase in Soret parameter while an opposite trend is observed in the temperature of the fluid because of increase in the heat source.