Transient Electro-magnetohydrodynamic 2-liquid Plasma Flow Through a Conducting Permeable Channel With Hall Effects

Understanding the heat transfer behavior of electrically conducting gases in magneto hydrodynamic (MHD) systems is crucial for optimizing applications in energy systems, plasma control, and advanced cooling technologies with practical uses in reactor cooling, aerodynamic boundary layer control, spacecraft etc. So, this study investigates the transient two-fluid heat transmission flow of electrically conducting gases driven by a uniform pressure gradient between parallel, permeable plates, aiming to extend existing MHD models by incorporating the combined effects of unsteadiness, Hall currents and wall porosity. The governing partial differential equations are solved using a regular perturbation technique to obtain analytical expressions for velocity and temperature distributions. The results reveal that increasing the Hartmann number and Hall parameter significantly enhances the heat transfer coefficient, with the effect being more pronounced when the channel walls allow electric current conduction. Furthermore, higher wall porosity and favorable ratios of electrical conductivity to fluid viscosity lead to notable alterations in both flow resistance and heat transfer rates. These findings emphasize that the combined effects of magnetic field intensity, Hall currents, and wall porosity characteristics play a pivotal role in controlling unsteady MHD flow and thermal transport in conducting channels.