Magneto-Hydrodynamic Scrutiny of Thermal Stratification in a Self-Similar Casson-Walter-B Non-Newtonian Fluid over a Porous Vertical Plate

Thermal stratification of magneto-hydrodynamic self-similar Casson-Walters-B fluids past a porous vertical plate is explored in this paper. The occurrence of this nature is plausible in industrial processes such as polymer industries. The numerical investigation in this paper is a binary solution which consists of Casson and Walters-B type of fluids. The flow equations that govern the study are nonlinear coupled partial differential equations (PDEs). These sets of PDEs were evaluated using suitable variables to obtain nonlinear ordinary differential equations (ODEs). The set of transformed ODEs were solved numerically by employing the spectral homotopy analysis method (SHAM). SHAM combines the Chebyshev pseudo-spectral approach with the homotopy analysis method in solving set of differential equations. From the physical point of view, the significance of each pertinent flow parameters is discussed with the help of graphical results. It was found that the plastic dynamic viscosity greatly affects the velocity of Casson fluid within the boundary layer. In the thermally-stratified boundary layer, the magnetic parameter was found to slow down the motion of an electrically conducting fluid due to Lorentz force. The rate of heat transport was determined by pertinent flow parameters such as thermal radiation, viscous dissipation and heat generation. The distribution of thermal radiation becomes very significant at a very high temperature and viscous dissipation in frictional heating of fluid particles. The validation conducted in this paper shows the accuracy of SHAM. The comparison of the present results and previously published works are in good agreement.