Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H$_2$O) in a Porous Medium with Activation Energy

Abstract

This study investigates the two-dimensional magnetohydrodynamic (MHD) slip flow of a tangent-hyperbolic (TGH) aluminum-alloy hybrid nanofluid over a stretching surface in a porous medium. The model incorporates magnetic effects, velocity and thermal slip, thermal radiation, heat generation, viscous dissipation, chemical reaction, and activation energy. The governing nonlinear partial differential equations are transformed into ordinary differential equations using similarity transformations and solved numerically in MATLAB using the bvp4c solver. The effects of key parameters on the velocity, temperature, and concentration profiles are analyzed, together with the skin-friction coefficient, Nusselt number, and Sherwood number. The results show that velocity decreases with increasing velocity-slip, porous-medium, and magnetic parameters, but increases with the fluid-thickness parameter. Temperature increases with nanoparticle volume fraction, magnetic parameter, Eckert number, velocity-slip parameter, and porous-medium parameter, whereas thermal radiation and the thermophoresis parameter reduce temperature. Concentration decreases with increasing activation energy, chemical-reaction parameter, velocity-slip parameter, and Schmidt number, but increases with the Lewis number. Comparison with previously published limiting-case results demonstrates good agreement and validates the numerical solution. These findings highlight the importance of controlling physical parameters in regulating momentum, heat, and mass transfer in MHD hybrid nanofluids, with potential applications in heat exchangers, enhanced oil recovery, environmental remediation, thermal management, and materials processing.