The current article presents a numerical analysis of the impact of binary chemical reactions on the steady, laminar, and incompressible free convection magnetohydrodynamic (MHD) flow of a liquid influenced by a heat source/sink and Cogley radiation effect with porous media. The flow across an exponential radiative extending surface with a magnetic field is taken into consideration. An appropriate similarity transformation is performed to the governing Partial Differential Equations (PDEs) to change them into a system of Ordinary Differential Equations (ODEs) to oversee their high nonlinearity. Due to the complexity of the coupled nonlinear equations, conventional analytical methods are not suitable for solving the transformed ODEs. To obtain numerical solutions, the Shooting technique with Runga-Kutta 4th order is applied. The influence of numerous physical factors on the flow phenomena is illustrated through diagrams. The key findings of study reveal that the velocity profile is significantly exceeded by buoyant forces, and the temperature of the fluid is retarded as the Soret number increases. Additionally, the binary chemical reaction parameter contributes to decreasing the wideness of the solutal boundary layer, favoring concentration profile retardation. This research contributes to our understanding of sophisticated thermal management systems, improving electronics heat dissipation, lowering building energy consumption, increasing the efficiency of space technology, and enabling chemical reaction control in high-temperature industrial operations.
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