Radiative and Viscous Dissipative Flow of a Chemically Reacting MHD Casson Nanofluid over an Inclined Slippery Stretching Surface with Non-Darcian Medium

Abstract

The study of coupled reaction transport in Casson rheology bridges the gap between idealized Newtonian models and practical non-Newtonian fluids, as chemically reacting nanoparticles alter the concentration and thermal behavior of the base fluid. This complexity intensifies when nanoparticles are introduced into conventional refrigerants. This work presents a unified investigation of radiative and viscous dissipative magnetohydrodynamic flow of a chemically reacting Casson nanofluid over an inclined slippery stretching surface embedded in a non-Darcy porous medium. The simultaneous consideration of Casson rheology, nanoparticle-enhanced heat transfer, magnetic control, surface slip, chemical reaction, and inertial porous effects offers a realistic model for high-temperature industrial, biomedical, and energy applications. Using similarity transformations, the governing partial differential equations are reduced to dimensionless coupled nonlinear ordinary differential equations, which are solved via the Legendre collocation technique. Numerical results, presented in tables and graphs, show that velocity and temperature increase with higher radiation parameter, while nanoparticle volume fraction decreases. Temperature rises with increasing Eckert number and heat source parameter. Higher slip parameter reduces temperature, wall shear stress, and near-surface chemical concentration. These findings provide insight for optimizing thermal performance, reaction efficiency, and flow control in complex engineering and bioengineering systems.