Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel

• Published in: Nonlinear engineering Vol. 11; no. 1; pp. 558 - 567
• Main Authors: Rushi Kesava, A., Srinivas, A. N. S.
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 10.10.2022; Walter de Gruyter GmbH
• Subjects: Axial flow pumps; Blood flow; Boundary conditions; Capillaries; Casson fluid; Contact pressure; Darcy number; Fluid dynamics; Fluid flow; interface; Mathematical models; Newtonian fluids; Non Newtonian fluids; Parameters; peristaltic transport; Physical properties; Porous media; Porous media flow; porous medium; Pumping; Shear stress; Viscous fluids
• ISSN: 2192-8029; 2192-8010; 2192-8029
• DOI: 10.1515/nleng-2022-0247

This article is aimed to investigate the peristaltic pumping of a two-layered model in a two-dimensional channel. The core region occupies Casson fluid, while the porous medium occupies the peripheral region. The fluid flow in a porous medium was described with a suitable model using the Brinkman-extended Darcy equation. In the interface between fluid and porous medium, a shear stress jump boundary condition was applied. Closed-form solutions were obtained in both regions (core and peripheral). The physical quantities of peristaltic flow, such as axial velocity, pumping and change in the interface, were derived and explained. The fluid flow was analyzed by different physical parameters such as viscosity, permeability, porosity, Casson parameter and Darcy number. It is observed that the peristalsis mechanism has greater pressure in a two-layered model containing a non-Newtonian fluid in contact with a porous medium compared to a viscous fluid in the peripheral layer. It was observed that pumping decreased with the increase in Darcy number and an increase in shear stress jump constant resulted in increasing the pumping. The outcomes of the pumping phenomenon may be helpful for understanding the fluid flow aspects of blood flow in capillaries.