Numerical Study of Rotating Hall–MHD Flow with Thermal Radiation, Viscous Dissipation, and Chemical Reaction Effects

The present study examines unsteady rotating Hall–MHD flow of a viscous, electrically conductingfluid past a vertical plate in the presence of thermal radiation, viscous dissipation, and a first-orderchemical reaction. A unified boundary-layer formulation is developed to capture the coupledeffects of Coriolis forces, Lorentz–Hall interactions, radiative heat transfer, and reactive masstransport. The governing equations are solved numerically using an implicit Crank–Nicolson finitedifference scheme and validated against analytical and published benchmark results. The resultsdemonstrate that rotation suppresses the primary velocity while simultaneously enhancing theHall-induced secondary flow through momentum redistribution within the boundary layer.Magnetic damping counteracts this mechanism by strengthening Lorentz resistance. Viscousdissipation significantly raises near-wall temperature and partially offsets radiative cooling,whereas chemical reaction accelerates species depletion, with its influence amplified underreduced convective transport. Parametric analyses reveal how these competing mechanismsjointly govern skin friction, heat transfer, and mass transfer characteristics. The findings providenew physical insight into coupled magneto-rotational dissipative flows relevant to rotating MHDthermal and reactive systems.