Multiple Slips Boundary Layer Flow of Chemically MHD Casson Nanofluid via Homotopic Procedure with Heat Source and Radiation Impacts over an Exponentially Inclined Stretched Surface

Theoretically, this article investigates the two-dimensional, thermal energy and mass transfer non-Newtonian flow (Casson) over a stretched surface, nanofluid with exponential inclination when there is a heat source and thermal radiation present. It is assumed that a particular exponential function governs the variation of the wall temperature, wall concentration, and stretching velocity. In additional we considered the chemical reactions, solutal slip, velocity slip, thermal slip, and blowing/suction factors. The analytical solution is subsequently obtained using the homotopy analysis method with the assistance of the BVPh2.0 package in Mathematica. The outcomes reveal a direct correlation between various parameters and fluid dynamics. Velocity profiles are enhanced by factors such as the velocity ratio, thermal Grashof and solutal Grashof characteristics, while they diminish with the Casson parameter, velocity slip coefficient, and inclination angle characteristics. Temperature profiles, on the other hand, respond positively to the heat generation/absorption, and thermal radiation but inversely to the thermal slip factor, velocity ratio, and Prandtl number. Concentration profiles exhibit contrasting trends, escalating with the magnetic factor, and thermophoresis characteristics, Casson factor, yet declining with the Brownian motion factor, Schmidt number, and concentration slip characteristics. An analysis of the skin friction coefficient highlights the impact of the Casson characteristics and magnetic characteristics parameter, showcasing they influence fluid flow characteristics. Notably, local heat and mass transfer rates are negatively influenced by the Casson factor and the magnetic coefficient. A comprehensive comparison with existing literature underscores the strong agreement and validation of the current research findings. This approach offers considerable benefits in a wide variety of sectors, such as ecology, bioengineering, geophysics, biomedical, and architectural thermal insulation, amongst others.