Finite Element Analysis of Magneto-Hydrodynamic Casson Fluid Flow Past a Vertical Plate with the Impact of Angle of Inclination

The main purpose of this work is to study the influence of heat and mass transfer on unsteady MHD natural convective Casson fluid flow towards a vertical plate in presence of angle of inclination, heat and mass transfer. The effects of Soret and Dufour are also accounted in concentration and energy equations respectively. The governing non-linear coupled partial differential equations with auxiliary conditions are transformed into the system of coupled linear partial differential equations via non-dimensional quantities and then solved numerically using finite element method. The behaviours of velocity, induced magnetic field and temperature fields for different physical aspects is discussed through graphical illustrations. Results show that the velocity and dimensionless temperature are decreasing functions of Prandtl number. Further, velocity profiles are an increasing function of Grashof number for heat and mass transfer whereas a decreasing function of Casson fluid parameter and angle of inclination parameter. It is seen that both the velocity and induced magnetic field profiles decrease with increase in magnetic Prandtl number. Concentration decreases tendency with Schmidt number. Lastly, the results for velocity, induced magnetic field and temperature profiles are obtained and compared with previous results in the literature and are found to be in excellent agreement.