Diffusion-thermo, Thermo-diffusion, Hall and ion slip effects on MHD flow through porous medium in a rotating channel

The current study explored heat, mass, and electromagnetic forces interact in fluids, focusing on natural convective heat and mass transport in a three dimensional unsteady free convective boundary layer flow within a rotating vertical channel. It considers the effects of Soret and Dufour phenomena, viscous dissipation, suction, and Hall and ion slip effects. Using the Crank-Nicolson method, numerical results are found for velocity, temperature, and concentration are analyzed, with additional computations for skin friction, Nusselt, and Sherwood numbers. Key findings include increased velocity with Hall and ion slip effects, reduced thermal boundary layer thickness with higher Prandtl and suction parameters, and decreased concentration with higher Schmidt and suction parameters. Nusselt number and Sherwood number decrease with higher Soret parameter, but increase with stronger suction effects. Practical applications range from nuclear reactor cooling and thermoelectric power generation to groundwater pollutant modelling and geothermal energy enhancement, exploiting magnetic, thermal, and porous media effects. The most significant applications of the current study include cooling technologies and energy optimization in systems involving heat and mass transfer under magnetic and porous media effects. Also it is improving heat-to-electricity conversion efficiency by leveraging thermo-diffusion (Soret effect) and diffusion-thermo (Dufour effect).