ANALYSIS OF HALL CURRENT EFFECTS ON UNSTEADY JEFFREY FLUID FLOW WITH FRACTIONAL MASS AND THERMAL TRANSPORT IN POROUS MEDIUM

This study investigates the effects of the Hall current on the unsteady flow of an incompressible, electrically conducting Jeffrey fluid over an infinite inclined plate within a porous medium, considering the influence of chemical reactions, heat sources, thermal radiation, with fractional mass and thermal transport. The fractional derivative constant proportional Caputo which is defined recently is used in constitutive laws for the mass and thermal flux, respectively. Semi-analytical solutions of the non-dimensional concentration, temperature, and velocity fields in addition the rates of heat and mass transfer from the plate to the fluid are established by virtue of the Laplace inversion numerical Stehfests and Tzou’s algorithms. Further, the influence of flow and fractionalize parameters α and β on concentration, temperature and velocity profiles will be visually underlined and discussed. The findings indicate that the fluid model based on generalized constitutive relations provides more precise and comprehensive results compared to those obtained from the artificially simplified fractional model. Additionally, it is observed that the Hall current enhances the drag at the plate surface. Employing a fractional derivative proves to be an effective approach for controlling concentration, temperature, and velocity profiles. The significance of this study lies in its applications, such as cooling electronic components in nuclear reactors, thermal energy storage in beds, and functioning as a heat sink in turbine blades.