Thermal and Hydrodynamic Behavior of Magnetohydrodynamic Falkner–Skan Non‐Newtonian Flow Over a Permeable Wedge With Homogeneous–Heterogeneous Reactions

ABSTRACT The Falkner–Skan model is widely used to describe boundary layer flows in various engineering systems. Incorporating magnetic fields, slip conditions, and chemical reactions is critical for understanding real‐world applications involving non‐Newtonian fluids in porous media. This study aims to examine the combined effects of magnetohydrodynamics, radiative heat transfer, internal heat generation/absorption, dual slip (momentum and thermal), and homogeneous–heterogeneous chemical reactions on non‐Newtonian fluid flow over a permeable wedge. The governing partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations. These equations are then solved numerically using the Runge–Kutta–Fehlberg method along with the shooting technique, implemented in Maple software. The results show that increasing the Hartmann number, slip parameters, and reaction rates suppress fluid velocity and enhance thermal gradients, while reducing the thickness of the concentration boundary layer. The Prandtl number and the radiation parameter significantly affect the thermal distribution and heat transfer rate. Surface quantities such as skin friction and Nusselt number vary meaningfully with changes in magnetic intensity and chemical activity, and the results exhibit good agreement with existing literature.