Abstract

This research article delves into the crucial role that polymers play in controlling the boundary layer flow and heat transfer of non-Newtonian fluids past a stretching surface. To explore the various behaviors of non-Newtonian fluid flow, two classical viscosity models—Reiner–Philippoff and Powell–Eyring—are utilized. Taking into account the microstructure and concentration of polymers, a molecular approach is employed to describe the viscoelasticity effect. Through numerical similarity analysis, the impact of polymers on flow and heat transfer control of non-Newtonian fluids is examined in detail. The article also discusses the behavior of skin friction and the Nusselt number in the presence of polymers. It is observed that the viscosity of the fluid decreases in the vicinity of the surface as the polymers interact with velocity gradients in the boundary layer. However, as the distance from the surface increases, the viscosity returns to its original value. Moreover, the addition of polymers within the non-Newtonian fluid leads to a reduction in heat transport and an enhancement in skin drag. Overall, this study sheds light on the crucial role of polymers in optimizing heat transfer and controlling flow behavior in non-Newtonian fluids.

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