Modeling convective transport in a reactive fluid near a vertical pervious plate influenced by intense magnetic forces, induced magnetic field, Hall current and thermo-diffusion

Exploring convective transport in conducting fluids under potent magnetic influences yields essential insights into numerous natural and designed systems. Such insights aid researchers and engineers in making enlightened progressions in their domains. This paper delves into the convective motion in a reactive fluid moving past a vertically perforated plate, governed by intense magnetic forces, the induced magnetic field (IMF) and Hall current. The model integrates factors like thermal radiation and thermo-diffusion (Soret effect). Formative equations for this model, which encapsulate the effects of distinct physical phenomena, are solved analytically. Graphical representations illuminate the influence of vital flow parameters on velocity, temperature, concentration fields, shear stresses and the rates of heat and mass transfer. From the graphs, it’s evident that Hall currents hinder the primary flow but enhance the secondary flow. A rise in radiation and suction parameters leads to a temperature drop. A heightened Soret number appears to magnify concentration distribution throughout the boundary layer. Intensifying suction at the plate diminishes the boundary layer’s thickness, which in turn elevates the heat and mass transfer rate. This physical model finds extensive applicability across sectors, encompassing metallurgy, magnetic fusion, plasma physics, materials fabrication, geothermal phenomena, geochemistry and ionospheric activities.