The ‘influence of Hall currents on unsteady-MHD heat transfer flow’ in a conducting channel containing two ionized fluids

We delve into the ‘effects of hall currents on the dynamics of unsteady magnetohydrodynamic flow and heat transfer within a two-fluid system of ionized gases confined within a horizontal channel bounded by parallel conducting plates. Employing a regular perturbation technique, we solve the governing partial differential equations to unveil the distributions of velocity and temperature, alongside profiles depicting heat transfer coefficients. Through a systematic parametric analysis, we explore the interplay among variables such as the Hartmann number, Hall parameter, and ratios involving viscosities, heights, electrical conductivities, and thermal conductivities. The results highlight the profound influence of these parameters on the dynamics of unsteady magnetohydrodynamic (MHD) heat transfer within a flow regime characterized by a dual-ionized fluid’. This influence is particularly pronounced when the lateral plates of the channel are conductive. Significantly, elevated Hartmann numbers and Hall parameters are associated with augmented heat transfer coefficients at both plates, holding other variables constant.