Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface

This study investigates heat transportation in slip flow of a non-Newtonian fluid with thermal stratification over a stretched surface, a configuration that closely represents many industrial and engineering processes. The inclusion of slip effects and non-Newtonian rheology provides a more realistic description of flows encountered in polymer extrusion, coating technologies, micro- and nano-scale devices, and biomedical systems. Thermal stratification is incorporated to model non-uniform temperature environments commonly observed in heat exchangers, cooling of electronic components, and energy systems. The governing partial differential equations for momentum, energy, and nanoparticle concentration are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. The resulting boundary value problem is solved numerically to analyze the impact of key parameters such as the slip coefficient, thermal stratification parameter, Sutterby fluid parameter, and Brownian motion on velocity, temperature, and concentration profiles. Results indicate that thermal stratification significantly reduces the temperature distribution within the boundary layer, while velocity slip at the surface diminishes the skin friction coefficient. The non-Newtonian characteristics of the Sutterby fluid substantially influence the heat transfer rate, with shear-thinning fluids demonstrating enhanced thermal performance compared to shear-thickening fluids. This analysis provides valuable insights for thermal engineering applications involving non-Newtonian nanofluids in stratified environments.