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Peristaltic transport of a third-order fluid in a circular cylindrical tube

Hayat, T. and Wang, Yongqi and Siddiqui, A. M. and Hutter, K. and Asghar, S. :
Peristaltic transport of a third-order fluid in a circular cylindrical tube.
[Online-Edition: http://www.worldscinet.com/m3as/12/1212/S0218202502002288.ht...]
In: Mathematical Models and Methods in Applied Sciences (M3AS), 12 (12) pp. 1691-1706. ISSN 0218-2025
[Article] , (2002)

Official URL: http://www.worldscinet.com/m3as/12/1212/S0218202502002288.ht...

Abstract

The effect of a third-order fluid on the peristaltic transport is analysed in a circular cylindrical tube, such as some organs in the living body. The third-order flow of an incompressible fluid in a circular cylindrical tube, on which an axisymmetric travelling sinusoidal wave is imposed, is considered. The wavelength of the peristaltic waves is assumed to be large compared to the tube average radius, whereas the amplitude of the wave need not be small compared to the average radius. Both analytic (perturbation) and numerical solutions are given. For the perturbation solution, a systematic approach based on an asymptotic expansion of the solution in terms of a small Deborah number is used and solutions up to the first order are presented in closed forms. The numerical solution, valid for any Deborah number, represents a new approach to peristaltic flows, and its features illuminate the physical behaviour much more than the analytical research on this problem. Comparison is made between the analytic (perturbation) and numerical results. Furthermore, the obtained results could also have applications to a range of peristaltic flows for a variety of non-Newtonian fluids such as aqueous solutions of high-molecular weight polyethylene oxide and polyacrylamide.

Item Type: Article
Erschienen: 2002
Creators: Hayat, T. and Wang, Yongqi and Siddiqui, A. M. and Hutter, K. and Asghar, S.
Title: Peristaltic transport of a third-order fluid in a circular cylindrical tube
Language: English
Abstract:

The effect of a third-order fluid on the peristaltic transport is analysed in a circular cylindrical tube, such as some organs in the living body. The third-order flow of an incompressible fluid in a circular cylindrical tube, on which an axisymmetric travelling sinusoidal wave is imposed, is considered. The wavelength of the peristaltic waves is assumed to be large compared to the tube average radius, whereas the amplitude of the wave need not be small compared to the average radius. Both analytic (perturbation) and numerical solutions are given. For the perturbation solution, a systematic approach based on an asymptotic expansion of the solution in terms of a small Deborah number is used and solutions up to the first order are presented in closed forms. The numerical solution, valid for any Deborah number, represents a new approach to peristaltic flows, and its features illuminate the physical behaviour much more than the analytical research on this problem. Comparison is made between the analytic (perturbation) and numerical results. Furthermore, the obtained results could also have applications to a range of peristaltic flows for a variety of non-Newtonian fluids such as aqueous solutions of high-molecular weight polyethylene oxide and polyacrylamide.

Journal or Publication Title: Mathematical Models and Methods in Applied Sciences (M3AS)
Volume: 12
Number: 12
Publisher: World Scientific Publishing Company
Uncontrolled Keywords: Third-order fluid; non-Newtonian fluid; peristaltic flow
Divisions: Study Areas
16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Study Areas > Study Area Mechanic
Date Deposited: 02 Sep 2011 13:08
DOI: 10.1142/S0218202502002288
Official URL: http://www.worldscinet.com/m3as/12/1212/S0218202502002288.ht...
Additional Information:

DOI: 10.1142/S0218202502002288

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