Effects of rotational forces, and thermal diffusion on unsteady magnetohydrodynamic (MHD) flow of a viscoelastic fluid through porous media with isothermal inclined plates

This study investigates the effects of rotational forces and thermal diffusion on the magnetohydrodynamic (MHD) convective rotating flow of a second grade fluid past a moving isothermal inclined porous plate, accounting for the influence of chemical reactions and a heat source. The governing equations of the flow are transformed into dimensionless ordinary differential equations (ODEs) and analytically solved using the perturbation technique. Numerical results for key flow characteristics, such as primary and secondary velocities, temperature distribution, and species concentration, are presented graphically. Additionally, shear stress and mass transfer rates at the plate surface are tabulated for various parameter values. The findings reveal that the fluid’s resultant velocity increases with higher Soret parameters across the fluid region, while the opposite trend is observed with an increase in both the aligned magnetic field and magnetic field intensity. Furthermore, thermal and solutal buoyancy forces significantly enhance the resultant velocity. The study also highlights the excellent agreement between the current results and previously published work, validating the accuracy of the analysis. This research has practical applications in various fields, such as the design of cooling systems for rotating machinery, MHD power generation, chemical processing equipment, and fluid flow control in astrophysical contexts.