The present paper examines the heat and mass transfer characteristics of convective magnetohydrodynamic (MHD) flow of a couple-stress fluid past a vertical porous plate within a porous medium. The analysis incorporates time-dependent oscillatory suction and permeability, together with the effects of an internal heat source and a first-order chemical reaction. The governing nonlinear partial differential equations are formulated in dimensionless form and separated into steady and oscillatory components. The differential equations are solved numerically, and the variations in velocity, temperature, and concentration distributions are depicted graphically. Additionally, skin friction, the Nusselt number, and the Sherwood number are presented in tables. The study presents the influence of key parameters, including the chemical reaction rate, magnetic field strength, couple-stress parameter, oscillation amplitude of permeability, Prandtl number, Schmidt number, and heat source intensity, to analyse the fluid behaviour.
Kumar et al. (Sun,) studied this question.