MHD Casson Flow over a Non-Linear Convective Inclined Plate with Chemical Reaction and Arrhenius Activation Energy

Abstract

This study examines the Magnetohydrodynamics (MHD) Casson flow passing over a non-linear convective inclined plate with incorporating a chemical reaction and Arrhenius activation energy. However, the magneto-hydrodynamic flow of two-dimensional radiative Casson fluid (CF) across a non-linear convective inclined plate in the existence of heat generation is addressed theoretically and numerically. The Arrhenius activation energy and chemical reaction are two additional impacts that have been added to the innovative nature of the model. By applying the appropriate transformations, PDEs (partial differential equations) were converted into coupled ODEs (ordinary differential equations) in terms of similarity variables combined with the boundary conditions. The finite difference method (FDM) and MAPLE 18.0 software were used to solve the resultant equations numerically. According to the findings, the thermal Grashof number and the mass Grashof number of the nano-fluid flow model were able to improve the strength of the drag coefficient, the rate of heat transfer at the surface of the plate, and the Sherwood number. Additionally, there was a reduction in the velocity gradient as the magnetic field strength increased. The concentration decreases when a chemical reaction is present, but it improves as the activation energy rises. These findings will help engineers create devices with strong heat and mass transfer rates. The results were compared to previously published research to assess their validity and discovered a large degree of consistency.