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Erschienen in: Meccanica 10/2013

01.12.2013 | Brief Notes and Discussions

Newtonian flow in a triangular duct with slip at the wall

verfasst von: Georgios C. Georgiou, George Kaoullas

Erschienen in: Meccanica | Ausgabe 10/2013

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Abstract

We consider the Newtonian Poiseuille flow in a tube whose cross-section is an equilateral triangle. It is assumed that boundary slip occurs only above a critical value of the wall shear stress, namely the slip yield stress. It turns out that there are three flow regimes defined by two critical values of the pressure gradient. Below the first critical value, the fluid sticks everywhere and the classical no-slip solution is recovered. In an intermediate regime the fluid slips only around the middle of each boundary side and the flow problem is not amenable to analytical solution. Above the second critical pressure gradient non-uniform slip occurs everywhere at the wall. An analytical solution is derived for this case and the results are discussed.

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Metadaten
Titel
Newtonian flow in a triangular duct with slip at the wall
verfasst von
Georgios C. Georgiou
George Kaoullas
Publikationsdatum
01.12.2013
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 10/2013
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-013-9787-7

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