Unsteady MHD Casson Fluid Flow Past an Inclined Surface Subjected to Variable Magnetic Field, Heat Generation and Effective Prandtl Number

The paper reports on the influence of effective Prandtl number, aligned magnetic field, slope of the stretching channel and heat generation on unsteady MHD Casson fluid flow. The partial differential equations of momentum, temperature and concentration are converted to non-linear ordinary differential equations by introducing appropriate similarity variables. The solution of the ODE's are calculated numerically using MATLAB bvp4c solver. The role of the different parameters on the temperature, velocity, and concentration profiles are analyzed and presented in the form of graphs and tables. Finally the impact of the different parameters on the mass transfer rate, heat transfer rate and skin friction are discussed. It is revealed that lowering the inclination angle enhances the velocity and temperature profiles with opposite effect on the concentration distribution. The concentration, temperature and velocity profiles decline with enlarged values of the unsteadiness parameter. Furthermore, the velocity profile, the temperature profile at free stream, skin friction coefficient, mass transfer rate and heat transfer rate diminishes with magnified effective Prandtl number.