Impact of internal heat production and absorption on an unstable MHD free convective flow through an inclined porous plate

This paper presents a numerical analysis of the effects of internal heat generation and absorption on magnetohydrodynamic (MHD) free convective flow along an inclined porous plate. The local similarity transformation transforms the governing partial differential equations into ordinary ones. To obtain numerical solutions, the resulting ordinary differential equations are tackled using the shooting technique in conjunction with MATLAB software. The effects of key dimensionless parameters, including heat generation or absorption parameter$\left(Q\right)$, magnetic force parameter$\left(M\right)$, inclined angle ($\gamma$), Schmidt number $\left(Sc\right)$, Prandtl number$\left(\text{Pr}\right)$, Soret number $\left(\text{Sr}\right)$, local Grashof number (Gr), suction parameter $\left(v_0\right)$, Dufour number $\left(\text{Df}\right)$ and modified Grashof number $\left(\text{Gm}\right)$ on flow, concentration, and temperature distributions are considered and showcased. The fluid velocity and temperature rises as the internal heat generation values increases. As the value of Q increases from 0.6 to 2.0, the local skin-friction coefficient increases by about 17% whereas the heat transfer rate experiences a significant reduction of 83%. An increase in the inclination angle results in a reduction in fluid velocity. Finally, a comparison with previously published results confirms that the present numerical solutions are in good agreement.