Abstract
This research aims to understand how fluids behave while flowing through curved stretched surfaces. The study covers nonlinear mixed convection, viscous dissipation, heat transfer via nonlinear thermal radiation, thermophoresis, Brownian diffusion, magnetic fields, and complicated nonlinear chemical reactions. Similarity variables are used to translate the governing nonlinear PDEs into nonlinear ODEs. Calculated adjustment simplifies equations' analytical treatment and improves tractability. The Shooting computational framework generates precise numerical solutions that are then persuasively presented. This academic study shows how flow parameter changes affect the geographical distribution of critical flow characteristics, such as velocity, temperature, and concentration profiles in Carreau fluid. The investigation also examines flow parameters, including the skin friction coefficient, Nusselt number, and Sherwood number throughout parameter regimes. Tabular results are tidy. This study adds to our understanding of the intricate interaction between flow characteristics and heat transfer mechanisms in a Carreau fluid across a curved and stretched surface.