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Wall shear stress in a laminar flow through a collapsed tubewith wall contact

Published online by Cambridge University Press:  14 September 2005

S. Naili ,
M. Thiriet  and
C. Ribreau
S. Naili*
Affiliation:
Laboratoire de Mécanique Physique, CNRS UMR 7052 B2OA, Faculté des Sciences et Technologie, Université Paris XII–Val-de-Marne, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
M. Thiriet
Affiliation:
Laboratoire Jacques-Louis Lions, CNRS UMR 7598, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France, and Inria, action REO, BP 105, 78153 Le Chesnay Cedex, France
C. Ribreau
Affiliation:
Laboratoire de Mécanique Physique, CNRS UMR 7052 B2OA, Faculté des Sciences et Technologie, Université Paris XII–Val-de-Marne, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
*
[email protected] [email protected] [email protected]
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Abstract

The present work aims at studying mainly the wall shear stress ofa laminar steady flow of an incompressible Newtonian fluid whichis conveyed through a collapsed tube with a straight centreline.This tube is composed of a tapered segment, a contact segmentwhere the opposite walls touch and a reopening segment. The tubegeometry and steady flow characteristics are obtained frommeasurements in a collapsed tube. The Navier-Stokesequations associated with the classical boundary conditions aresolved using the finite element method. The tridimensional flowresults from the tube configuration. In particular, the flowconsists of two side-jets due to two tear-drop shaped outerpassages in the downstream contact segment associated withreversed flow. In order to compute both the stream-wise andcross-wise components of the shear stress on the wall, a localbasis is defined in each wall node. Downstream of the contactsegment, flow is separated in two jets which are studied thoughthe help of the velocity field and the wall shear stress.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 31 , Issue 3 , September 2005 , pp. 195 - 209
Copyright
© EDP Sciences, 2005

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