ВПЛИВ ВИРІВНЮВАННЯ МАГНІТНОГО ПОЛЯ НА ТЕПЛО- І МАСОПЕРЕДАЧУ В НЕРІВНОМІРНОМУ MHD-ПОТОЦІ З ВПЛИВОМ РАДІАЦІЇ, ХІМІЧНОЇ РЕАКЦІЇ ТА ЕФЕКТУ ДЮФУРА

This study presents an exact analytical solution for the transient magnetohydrodynamic (MHD) free convection flow of an incompressible, electrically conducting fluid confined between two infinite inclined plates. The analysis incorporates the combined influence of an externally applied magnetic field aligned with the flow, thermal radiation, and chemical reactions. The inclination of the plates introduces a gravitational component that alters buoyancy-driven flow dynamics, adding complexity to heat and mass transfer mechanisms. The investigation focuses on oscillatory flow conditions, which are crucial for modeling time-dependent phenomena in geophysical systems, industrial chemical processes, and thermal management applications. The Lorentz force, generated by the interaction between the magnetic field and fluid motion, is examined to assess its effects on velocity and temperature distributions. Thermal radiation is approximated using the Rosseland model, while a first-order chemical reaction term is included in the species concentration equation. The governing partial differential equations for momentum, energy, and mass transfer are solved analytically under specified initial and boundary conditions. The results demonstrate the significant impact of key parameters, including magnetic field strength, thermal radiation, chemical reaction kinetics, and plate inclination angle, on flow behavior, temperature profiles, and concentration distribution. This research advances the understanding of unsteady MHD convection flows under thermal and chemical influences, offering insights for optimizing high-temperature systems and electromagnetically controlled reactive processes. The findings have potential applications in enhancing industrial cooling systems, chemical reactors, and geophysical flow modeling.