THERMAL AND SOLUTAL TRANSPORT IN A ROTATING JEFFREY FLUID UNDER NON-DARCY MHD EFFECTS WITH ACTIVATION ENERGY AND VARIABLE HEAT GENERATION

Abstract

This study examines the influence of activation energy on non-Darcy magnetohydrodynamic convective heat and mass transfer in a rotating Jeffrey fluid flowing through a vertical channel under the action of a transverse magnetic field. Both channel walls are maintained at uniform temperature and concentration, while the system is subjected to spatially varying internal heat generation. The resulting nonlinear and strongly coupled governing equations for momentum, energy, and species concentration are solved numerically using the Runge–Kutta–Fehlberg scheme combined with the shooting technique. The effects of key physical parameters on the primary and secondary velocity components, temperature, and concentration distributions are analyzed in detail. In addition, the rates of heat and mass transfer at the channel walls are evaluated quantitatively. The results indicate that increasing activation energy, the Jeffrey relaxation parameter (λ), the generating chemical reaction parameter (γ > 0), and the nonlinear density ratio (β) leads to a reduction in both velocity components and concentration, while simultaneously enhancing the temperature field.