MHD Stagnation-Point Flow towards a Permeable Shrinking/Stretching Sheet in a Porous Medium with Velocity Slip and Heat Generation/Absorption Effects

The analysis of velocity slip and heat generation/absorption in fluid flow problems is crucial due to their significant impact on fluid behavior and heat transfer characteristics. The findings are vital for understanding and optimizing flow and heat transfer in industrial processes involving shrinking/stretching surfaces. Thus, this study aims to examine dual solutions of MHD stagnation-point flow over a stretching/shrinking sheet with suction/injection, velocity slip, and heat generation/absorption effects. The governing nonlinear partial differential equations are transformed into nonlinear ordinary differential equations using a similarity transformation and solved numerically using the boundary value problem solver bvp4c, a built-in MATLAB software. Dual solutions are found for the shrinking case, while the stretching case yields a unique solution. Increasing suction and slip parameters broadens the range of dual solutions. Results show that suction enhances the skin friction coefficient and heat transfer, whereas velocity slip reduces skin friction but increases heat transfer. Heat generation lowers the local Nusselt number. It is observed that the first solution is stable, while the second is unstable.