INFLUENCE OF VISCOUS DISSIPATION AND THERMAL RADIATION ON THE HEAT AND MASS TRANSFER CHARACTERISTICS OF THE MHD FLOW OF CASSON FLUID SQUEEZED IN A CHANNEL: A SEMI-ANALYTICAL APPROACH

The fundamental interaction that govern the fluid behaviour is the basis for the intricate relationship between fluid mechanics and chemistry. Further, the fluids, in general, exhibit dynamic properties that directly impact the chemical composition and molecular forces. The current study aims to analyse theoretically, the impact of viscous dissipation and thermal radiation on the of heat and mass transfer characteristics of the MHD flow of Casson fluid that is squeezed between a pair of plates placed parallel to each other. To achieve an approximate analytical solution to this problem by homotopy perturbation method (HPM), the fundamental equations that govern the flow, energy and chemical reaction are converted into non-linear ordinary differential equations (ODEs) with the help of similarity transformation. In the current analysis, the influence of various physical parameters on the velocity profile, temporal field, and concentration distribution curve are presented graphically. Further, in order to compare the results obtained by the HPM, a well-established numerical method, the classical finite difference method (FDM), is adopted. The numerical values of the magnitude of coefficient of skin friction, and heat and mass transfer rates obtained by the HPM are tabulated. Furthermore, the obtained semi-analytical solutions are compared with that of the solution obtained by the classical FDM. From the tables it is clear that the results obtained by both techniques are in good agreement. It is also noted that an increase in the radiation parameter is responsible for the retardation of the temporal profile, whereas it elevates the concentration field.