Ali, Nasir ; Wang, Yongqi ; Hayat, Tasawar ; Oberlack, Martin (2008)
Long wavelength approximation to peristaltic motion of an Oldroyd 4-constant fluid in a planar channel.
In: Biorheology, 45 (5)
Artikel, Bibliographie
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2008 |
| Autor(en): | Ali, Nasir ; Wang, Yongqi ; Hayat, Tasawar ; Oberlack, Martin |
| Art des Eintrags: | Bibliographie |
| Titel: | Long wavelength approximation to peristaltic motion of an Oldroyd 4-constant fluid in a planar channel |
| Sprache: | Englisch |
| Publikationsjahr: | 2008 |
| Verlag: | IOS Press |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Biorheology |
| Jahrgang/Volume einer Zeitschrift: | 45 |
| (Heft-)Nummer: | 5 |
| URL / URN: | http://iospress.metapress.com/content/gk07186008357p65/ |
| Kurzbeschreibung (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. |
| Freie Schlagworte: | Peristalsis; Oldroyd 4-constant fluid; channel flow; analytical solution; pumping; trapping |
| Zusätzliche Informationen: | doi:10.3233/BIR-2008-0510 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) 16 Fachbereich Maschinenbau |
| Hinterlegungsdatum: | 24 Aug 2011 18:01 |
| Letzte Änderung: | 17 Feb 2014 08:46 |
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