Entropy Generation and Bejan Number Analysis in Radiative, Cilia-Induced Flow of Williamson Fluid in Helical Channels

Abstract

This study investigates the entropy generation and Bejan number analysis in the radiative, cilia-induced flow of Williamson fluid through helical channels. The focus is on evaluating the impact of thermal radiation, viscous dissipation, and the geometric complexities of a helical channel on the transport behavior of non-Newtonian fluids driven by ciliary motion. The Williamson fluid model is selected due to its capacity to describe shear-thinning behavior, commonly observed in biological and industrial applications. Governing equations accounting for momentum, energy, and entropy generation are developed and solved numerically. The influence of pertinent parameters such as the Williamson parameter, radiation parameter, Brinkman number, and ciliary motion characteristics on velocity, temperature, entropy generation, and Bejan number are comprehensively analyzed. Results reveal intricate interdependencies among flow resistance, thermal gradients, and channel geometry, significantly impacting energy efficiency and transport performance.