Williamson fluid model for the peristaltic flow of chyme in small intestine
type: Item
instance of: scholarly article
title: Williamson fluid model for the peristaltic flow of chyme in small intestine
zbMATH Open document ID: 1264.76141
DOI: 10.1155/2012/479087
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A mathematical model for the peristaltic flow of chyme in small intestine along with inserted endoscope is considered. Here, chyme is treated as Williamson fluid, and the flow is considered between the annular region formed by two concentric tubes (i.e., outer tube as small intestine and inner tube as endoscope). Flow is induced by two sinusoidal peristaltic waves of different wave lengths, traveling down the intestinal wall with the same speed. The governing equations of Williamson fluid in cylindrical coordinates have been modeled. The resulting nonlinear momentum equations are simplified using long wavelength and low Reynolds number approximations. The resulting problem is solved using regular perturbation method in terms of a variant of Weissenberg number \(W_e\). The numerical solution of the problem is also computed by using shooting method, and comparison of results of both solutions for velocity field is presented. The expressions for axial velocity, frictional force, pressure rise, stream function, and axial pressure gradient are obtained, and the effects of various emerging parameters on the flow characteristics are illustrated graphically. Furthermore, the streamlines pattern is plotted, and it is observed that trapping occurs, and the size of the trapped bolus varies with varying embedded flow parameters.
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 6173317
Wikidata QID: Q58911759
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/479087
OpenAlex ID: W2033493406
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cites work: Effects of an endoscope and generalized Newtonian fluid on peristaltic motion.
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description: scientific article; zbMATH DE number 6173317