JOULE HEATING, THERMAL RADIATION, AND SLIP EFFECTS ON MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER OVER AN EXPONENTIALLY STRETCHING/SHRINKING SHEET IN FERROFLUIDS

This research was carried out to study the constant bi-dimensional (2D) MHD flow and thermal energy exchange of ferrofluids with respect to an exponentially stretched or shrunk sheet, as well as the influences of slip, thermal radiation, and Joule heating. Before numerical analysis using the shooting technique, the translation of the governing (or principal) partial equations to the group of non-linear ordinary differential equations using a similarity transformation was performed. By using graphs and tables, the significances of several relevant parameters (i.e., radiation, magnetic, mass transmission, slip, and stretching or shrinking variables with the Eckert number) on Nusselt number, temperature profile, and velocity, as well as the common coefficient of skin friction were examined. Non-unique or dual solutions were encountered in the value range of practised parameters for stretching and shrinking. The results proved that the increment of the magnetic, radiation, mass transfer (suction), slip parameters, and Eckert number will accelerate the heat transfer rate.