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Long wavelength approximation to peristaltic motion of an Oldroyd 4-constant fluid in a planar channel

Ali, Nasir and Wang, Yongqi and Hayat, Tasawar and Oberlack, Martin :
Long wavelength approximation to peristaltic motion of an Oldroyd 4-constant fluid in a planar channel.
[Online-Edition: http://iospress.metapress.com/content/gk07186008357p65/]
In: Biorheology, 45 (5) pp. 611-628. ISSN 0006-355X
[Article] , (2008)

Official URL: http://iospress.metapress.com/content/gk07186008357p65/

Abstract

An analysis is carried out to study the peristaltic motion of an incompressible Oldroyd 4-constant fluid in a planar channel. The flow modeling is first developed in dimensionless form and the governing problem is then simplified by adopting a long wavelength assumption. It is found that unlike Oldroyd 3-constant fluid, the governing problem of an Oldroyd 4-constant fluid under a long wavelength approximation contains the rheological parameters. The resulting non-linear problem has been solved numerically using a combination of the finite difference scheme and the iterative method. In addition, an analytical solution is presented for the domain near the channel center. The effect of material parameters on the pumping and trapping is discussed. A comparison with the corresponding results for a viscous Newtonian fluid is also made.

Item Type: Article
Erschienen: 2008
Creators: Ali, Nasir and Wang, Yongqi and Hayat, Tasawar and Oberlack, Martin
Title: Long wavelength approximation to peristaltic motion of an Oldroyd 4-constant fluid in a planar channel
Language: English
Abstract:

An analysis is carried out to study the peristaltic motion of an incompressible Oldroyd 4-constant fluid in a planar channel. The flow modeling is first developed in dimensionless form and the governing problem is then simplified by adopting a long wavelength assumption. It is found that unlike Oldroyd 3-constant fluid, the governing problem of an Oldroyd 4-constant fluid under a long wavelength approximation contains the rheological parameters. The resulting non-linear problem has been solved numerically using a combination of the finite difference scheme and the iterative method. In addition, an analytical solution is presented for the domain near the channel center. The effect of material parameters on the pumping and trapping is discussed. A comparison with the corresponding results for a viscous Newtonian fluid is also made.

Journal or Publication Title: Biorheology
Volume: 45
Number: 5
Publisher: IOS Press
Uncontrolled Keywords: Peristalsis; Oldroyd 4-constant fluid; channel flow; analytical solution; pumping; trapping
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 18:01
Official URL: http://iospress.metapress.com/content/gk07186008357p65/
Additional Information:

doi:10.3233/BIR-2008-0510

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