A Bernoulli wavelet approach to MHD Casson fluid flow over an exponentially stretching sheet with thermal radiation and heat source

This research examines steady-state magnetohydrodynamic boundary-layer flow behavior of Casson fluid across an exponentially stretching surface under thermal radiation and variable heat source conditions. The coupled nonlinear boundary-layer equations undergo transformation through appropriate similarity variables, with numerical solutions obtained via the Bernoulli wavelet method. Detailed analysis explores how critical physical parameters magnetic parameter, Casson parameter, Prandtl number, radiation parameter, heat generation parameter, Schmidt number, and chemical reaction parameter influence velocity, temperature, and concentration profiles. Additionally, engineering quantities including skin friction coefficient, local Nusselt number, and Sherwood number receive thorough examination. Convergence testing and validation studies confirm rapid convergence rates and strong agreement with published data, verifying the numerical scheme’s accuracy and dependability. Findings indicate that magnetic and Casson parameters substantially reduce fluid velocity while promoting thermal accumulation; thermal radiation and heat generation produce notable temperature increases; and elevated Schmidt numbers with higher reaction rates improve mass transfer efficiency. This work demonstrates the Bernoulli wavelet method’s capability for resolving highly nonlinear magnetohydrodynamic non-Newtonian flow challenges applicable to industrial heat and mass transfer processes.