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Williamson Fluid Model for the Peristaltic Flow of Chyme in Small Intestine
Joint Authors
Nadeem, S.
Ashiq, Sadaf
Ali, Mohamed
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-09
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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 peristalticwaves 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 We.
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.
American Psychological Association (APA)
Nadeem, S.& Ashiq, Sadaf& Ali, Mohamed. 2012. Williamson Fluid Model for the Peristaltic Flow of Chyme in Small Intestine. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1029595
Modern Language Association (MLA)
Nadeem, S.…[et al.]. Williamson Fluid Model for the Peristaltic Flow of Chyme in Small Intestine. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1029595
American Medical Association (AMA)
Nadeem, S.& Ashiq, Sadaf& Ali, Mohamed. Williamson Fluid Model for the Peristaltic Flow of Chyme in Small Intestine. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1029595
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029595