Unsteady MHD Free Convection with Hall Current and Viscous Dissipation over an Inclined Porous Plate Using Response Surface Methodology

This work explores unsteady magnetohydrodynamic (MHD) varied convection in an absorbent intermediate induced through a thoughtlessly underway oscillating shield. The properties of viscous indulgence, Hall current, Dufour term, and internal heat generation are incorporated into the governing equations, which are reformulated in non-dimensional procedure and cracked through an explicit finite difference approach. Numerical simulations in MATLAB illustrate the evolution of velocity, temperature, and concentration profiles, with clear contrasts observed between heated and cooled boundary conditions. Results indicate that fluid temperature rises with stronger heat generation, higher Dufour number, and enhanced radiation absorption. To evaluate combined parameter influences, Response Surface Methodology (RSM) is employed, offering quantitative insights into interaction effects and optimal conditions for efficient heat and mass transport. The integration of computational and statistical methods provides useful guidance for engineering applications requiring precise thermal management.