Abstract
The article provides a thorough numerical study on how chemical reactions affect the flow of a Casson–Carreau–Yasuda nanofluid in a Cattaneo–Christov magnetohydrodynamic (MHD) system over a stretching sheet that changes shape. The physical model incorporates convective heating, velocity slip, and Joule heating into the boundary conditions, thereby capturing the complex interactions that govern thermofluidic behavior. The study fills a significant gap in existing research by examining three different non-Newtonian nanofluid models simultaneously, considering the effects of MHD forces, chemical reactions, and dual-phase-lag (DPL) heat and mass transport together. Similarity transformations reduce the governing partial differential equations to a system of nonlinear ordinary differential equations. These equations are then solved using a numerical shooting method. The results show that as the thermal and solutal relaxation parameters increase, the thickness of the thermal and concentration boundary layers decreases significantly. Additionally, parametric effects on velocity, temperature, and concentration profiles are examined. The changes in skin friction coefficient, Nusselt number, and Sherwood number are studied both through graphs and numbers, and the results match well with established cases. This study is unique in its integrated modeling approach, offering valuable insights into the behavior of non-Newtonian nanofluids under realistic physical conditions. The findings are relevant to thermal management systems, polymer processing, chemical engineering applications, and industrial cooling and coating technologies, where precise control of heat and mass transfer is essential.
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