Numerical analysis of the Soret and Dufour effects on boundary layer flow past a curved stretching surface in porous media with thermal slip and variable magnetic field

This study presents a novel investigation into the boundary layer flow, heat, and mass transfer of a Newtonian, incom-pressible and electrically conducting viscous fluid flow past a permeable curved stretching surface embedded in porous media with Soret and Dufour effects subject to varying magnetic fields and thermal slip. The research uniquely combines these complex phenomena, addressing a significant gap in the literature. This configuration has potential applications in electronic cooling systems, polymer manufacturing and compact heat exchangers in various industries. The main objectives are to understand how various parameters influence fluid flow, heat and mass transfer behaviour to optimize the design for enhanced performance. To attain the numerical results the governing equations are transformed into to a set of nonlinear ordinary differential equations, which are then solved numerically by using MATLAB’s built-in solver bvp4c. The param-eters of engineering interest are tabulated and validated with previous results. The outcomes of the study suggest that the presence of a larger magnetic parameter, Dufour number, Joule parameter, thermal slip and curvature parameter contribute to reducing the cooling rate of the system by 2.73%, 10.53%, 12.39%, 9.29% and 6.28%, respectively. Also, the curvature of the surface can be enlarged from 5 to 10 to obtain 6.87% reduction in surface drag force.