MODELING AND OPTIMIZATION OF PERISTALTIC FLUID TRANSPORT IN AXISYMMETRIC, POROUS STRUCTURES

Abstract

Peristaltic transport, a fundamental physiological and engineering process, involves the movement of fluid through a distensible tube via sequential compression and relaxation. This study investigates the peristaltic transport of an incompressible Newtonian fluid in an axisymmetric, porous, corrugated tube, emphasizing the interplay between fluid dynamics and the tube's structural characteristics. Utilizing lubrication theory and perturbation analysis within a wave frame of reference, we explore the effects of hydraulic resistivity, geometric parameters of the corrugation, and porous layer thickness on the phenomena of trapping and circulation. Our findings reveal that hydraulic resistivity significantly influences the development of circulation regions within the fluid core, which has implications for the efficiency of mixing and nutrient absorption in biological and industrial applications. Additionally, the geometric configuration of the wavy porous layer—specifically its amplitude and thickness—critically impacts the formation of trapping and circulation regions, thereby affecting fluid transport efficiency. This work not only advances our understanding of peristaltic pumping mechanisms but also highlights the potential for optimizing fluid transport processes in both biological systems and industrial applications. The insights gained from this study contribute to the design of more efficient peristaltic pumps and offer a valuable framework for future research aimed at enhancing substance delivery and mixing through peristaltic transport.