Title

Peristaltic Transport Of A Herschel-Bulkley Fluid In Contact With A Newtonian Fluid

Keywords

Herschel-Bulkley fluid; Newtonian fluid; Peristaltic transport; Volume flow rate

Abstract

Peristaltic transport of Herschel-Bulkley fluid in contact with a Newtonian fluid in a channel is investigated for its various applications to flows with physiological fluids (blood, chyme, intrauterine fluid, etc.). The primary application is when blood flows through small vessels; blood has a peripheral layer of plasma and a core region of suspension of all the erythrocytes. That is, in the modeling of blood flow, one needs to consider the core region consisting of a yield stress fluid and the peripheral region consisting of a Newtonian fluid. Peristaltic pumping of a yield stress fluid in contact with a Newtonian fluid has not previously been studied in detail. Our goal is to initiate such a study. The Herschel-Bulkley fluid model considered here reduces to the power law model in the absence of yield stress. The stream function, the velocity field, and the equation of the interface are obtained and discussed. When the yield stress τ 0 → 0 and when the index n = 1, our results agree with those of Brasseur et al. (J. Fluid Mech. 174 (1987), 495) for peristaltic transport of the Newtonian fluid. It is observed that for a given flux Q̄ the pressure rise Δp increases with an increase in the amplitude ratio φ. Furthermore, the results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the peristaltic transport models with two immiscible physiological fluids. © 2006 Brown University.

Publication Date

1-1-2006

Publication Title

Quarterly of Applied Mathematics

Volume

64

Issue

4

Number of Pages

593-604

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0033-569X-06-01020-9

Socpus ID

33846693065 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33846693065

This document is currently not available here.

Share

COinS