Hall effects on the unsteady MHD flow of the Rivlin-Ericksen fluid past an infinite vertical porous plate

The unsteady magnetohydrodynamic (MHD) convective flow of the Rivlin-Ericksen fluid past an infinite vertical plate with Hall effects has many engineering applications such as heat exchangers, cooling of electronic types of equipment, nuclear reactors, solar devices, polymer processing industries, food industries, and petroleum reservoirs. Therefore, the unsteady MHD convective flow of an incompressible viscous electrically conducting Rivlin-Ericksen fluid over a semi-infinite vertical permeable moving plate taking heat absorption and Hall effects into account, has been discussed. The plate travels with the constant velocity in the direction of fluid flow, whereas the free stream velocity follows the exponentially enhancing small perturbed flow. The time-dependent wall suction transpires near the porous surface. The non-dimensional leading equations for the exploration are resolved systematically utilizing two-term harmonic and non-harmonic functions. The present results reduced to earlier published results on the particular cases of the investigation. The numerical evaluations of the analytical solutions are performed, and graphical results for velocity, temperature, and concentration profiles contained by the boundary layers are presented. The skin-friction coefficient, Nusselt number, and Sherwood numbers are also examined through the graphical profiles.