Activation Energy in MHD Darcy–Forchheimer Flow of Hybrid Nanofluid: Cone Versus Wedge Analysis

ABSTRACT This study investigates the influence of activation energy on the magnetohydrodynamic (MHD) Darcy–Forchheimer flow of a Casson hybrid nanofluid over two distinct geometries: a cone and a wedge. The research is motivated by the superior thermal and rheological properties of hybrid nanofluids, which hold significant potential for improving energy efficiency in industrial heat transfer systems. Governing equations that account for variable viscosity, thermal conductivity, and diffusivity are converted into a dimensionless form and solved numerically via the Keller‐Box method. The analysis examines profiles for velocity, temperature, and concentration, alongside key engineering parameters: skin friction, Nusselt number, and Sherwood number. Results indicate that wedge geometries exert a more pronounced influence on the flow and thermal fields than cones. Furthermore, the use of hybrid nanofluids is shown to markedly enhance heat transfer performance. Validation against established limiting cases confirms excellent agreement with prior published results. The insights gained from this work offer a foundation for optimizing thermal management in engineering systems utilizing complex nanofluid flows. The study concludes by discussing novel practical applications in advanced heat exchangers, electronic cooling systems, and energy‐efficient industrial processes, underscoring its direct practical relevance.