Impact of Nanoparticle Characteristics on Heat Transfer Enhancement for Industrial Cooling Applications: A Comparative Study of Thermal Conductivity Models

Abstract

In the extrusion of polymer sheets cooling the surfaces quickly and uniformly is one the most critical activity. Conventional methods of cooling using chill rolls can be improved by embedding nanofluids. This current article is aimed at analysing the heat transport in carbon nanotubes-based nanofluid by two advanced thermal conductivity models namely, the Yamada–Ota and Xue models. Among the most significant physical properties in the polymer extrusion and stretching sheet cooling process is the thermal conductivity, which defines the rate at which heat can be removed from the hot polymer sheet during cooling. This is crucial for controlling the solidification, thickness, and mechanical properties of the final film. The mathematical model is framed according to boundary layer approximation theory for momentum and energy equations and solved by MATLAB solver bvp4c.The study investigates the effects nanoparticle volume fraction, magnetic field strength, wall thickness variation, power-law index, and thermal relaxation time on momentum and energy profiles, with results presented graphically. The novel outcomes of this study shows that the Yamada–Ota model demonstrates higher heat transfer rate compared to the Xue model for nanoparticle volume fraction  and .