Peristaltic wave propagation in compressible Maxwell fluids with boundary slip

Christian, JM; Tsiklauri, D; McDonald, GS

Abstract

Boundary slip has recently been observed by Craig et al. [Phys Rev Lett 87, 054504 (2001)]. Complementing this work, Tsiklauri [J Acoust Soc Am 112, 843 (2002)] incorporated non-zero boundary slip into a theoretical model of fluid-saturated porous media. This extended work by Tsiklauri and Beresnev [Phys Rev E 64, 036303 (2001)], which predicted new phenomena through a generalization of the classic description of peristaltic pumping: non-Newtonian effects led to unexpected changes in fluid behaviour within the deeply viscoelastic regime. Here, we present the most general description of peristaltic wave propagation that has been developed to date, capturing a wide variety of physical effects (including non-zero boundary slip, viscoelasticity, and compressibility). It thus provides an ideal analytical platform for investigating with greater rigour phenomena such as backflow, which has been suggested as a likely cause of vesico-ureteral reflux in urology. We have considered the peristaltic pumping of blood in a human artery, and have found that small changes in arterial
radius can, in some parameter regimes, give rise to a spontaneous backflow effect. A distinct advantage with our
model is that the generality lends itself to the description of flow processes in a range of other physical systems, including geophysical and industrial.

Citation

Christian, J., Tsiklauri, D., & McDonald, G. Peristaltic wave propagation in compressible Maxwell fluids with boundary slip. Poster presented at Condensed Matter and Materials Physics Conference, University of Exeter, UK

• Presentation Conference Type: Poster
• Conference Name: Condensed Matter and Materials Physics Conference
• Conference Location: University of Exeter, UK
• End Date: Apr 25, 2006
• Publication Date: Apr 19, 2006
• Deposit Date: Oct 17, 2011
• Publicly Available Date: Apr 5, 2016
• Additional Information: Event Type : Conference