This research provides an analytical framework for investigating unsteady Magnetohydrodynamics (MHD) free convection. The model simulates a viscous, electrically conducting fluid confined between two inclined oscillating plates. The formulation distinctly integrates the coupled interplay of thermal diffusion (the Dufour effect) and a homogeneous first-order chemical reaction, phenomena frequently overlooked in prior analyses. Additional considerations include thermal radiation, radiation absorption, and an imposed transverse magnetic field. The resulting set of coupled, nonlinear partial differential equations governing momentum, energy, and species concentration is solved analytical method using appropriate oscillatory boundary conditions. A parametric study demonstrates the significant and interconnected impact of key dimensionless parameters including the Dufour number, chemical reaction parameter, radiation variables, and magnetic field strength (Hartmann number) on the resultant velocity, thermal, and concentration distributions. The findings highlight that radiative transport and chemical kinetics are critical factors that substantially modulate heat and mass transfer rates. These insights are vital for optimizing industrial applications such as advanced thermal management systems, MHD power generation, and reactive chemical processing units.
Ramamohan et al. (Mon,) studied this question.