This study aims to investigate and quantitatively quantify mixed convection in magnetohydrodynamic flow of Casson nanofluid across a nonlinearly permeable stretched sheet. An examination and assessment of this occurrence is provided. The influences of thermal radiation, chemical reactions, heat generation and absorption, viscous dissipation, suction, and Joule heating are considered. In order to simulate nanoparticles, the Brownian motion and thermophoresis phenomena are utilized. This model is known as Buongiorno’s model. Following the transformation of the partial differential equations that regulate the problem into ordinary differential equations, the Keller-Box approach was utilized to solve the initial problem. Diagrams are employed to present the results derived from the examination of the effects of different parameter alterations on the profiles of velocity, temperature, and concentration. Valuable findings include a reduction in fluid flow velocity due to an increase in the Hartman number (magnetic field parameter), a decrease in flow velocity from an increase in the Casson fluid parameter, an elevation in the temperature profile resulting from an increase in the radiation parameter, and a decline in nanoparticle concentration profile due to an increase in the chemical reaction parameter. Furthermore, the final section of this study examines the effects of numerous parameters on the skin friction coefficient, local Nusselt numbers, and Sherwood numbers. The findings of this analysis indicate that all three statistics demonstrate positive and increasing trends.

Casson-Williamson nanofluid, Buongiorno’s model, thermal radiation, chemical reaction, heat generation/absorption, suction, Joule heating effect