Exploring the dynamic behavior of the two-phase model in radiative non-Newtonian nanofluid flow with Hall current and ion slip effects

The utilization of Hall current and ion slip in electrically conducting fluids has garnered significant attention, especially in applications like magnetohydrodynamic (MHD) power generation and electrochemical sensors in industrial plasma processes. These phenomena have become key focuses for scientists and engineers seeking innovative solutions to enhance productivity and sustainability in the manufacturing industry. This study investigates the steady three-dimensional flow dynamics of a magnetohydrodynamic Casson nanofluid over an exponentially stretching sheet, influenced by Hall current and ion slip. The analysis incorporates the effects of multiple slips, as well as heat transport in a rotating system, accounting for solar radiation, viscous-Ohmic dissipation, and slip effects. This kind of flow problem has numerous applications across various scientific and engineering fields, including MHD generators, Hall thrusters, thermal energy storage systems, electronic cooling, and spacecraft design. The governing equations are altered into ordinary differential equations which are then solved using Gegenbauer wavelets collocation-based techniques. Moreover, the study reveals that increasing Hall current and ion slip enhances velocity distribution, while the thermal transport rate significantly increases with improved solar radiation.