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High Reynolds Channel Flows: Variable curvature

Zagzoule, Mokhtar and Cathalifaud, Patricia and Cousteix, Jean and Mauss, Jacques High Reynolds Channel Flows: Variable curvature. (2011) In: International Conference Boundary and Interior Layers Computational and Asymptotic Methods, 5-9 Jul 2010, Zaragora, Spain .

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Official URL: http://dx.doi.org/10.1007/978-3-642-19665-2_26


Two-dimensional laminar flow, at high Reynolds number Re, of an incompressible Newtonian fluid in a curved channel connected to 2 fitting tangent straight channels at its upstream and downstream extremities is considered. The Successive Complementary Expansion Method (SCEM) is adopted. This method leads to an asymptotic reduced model called Global Interactive Boundary Layer (GIBL) which gives a uniformly valid approximate solution of the flow field in the whole domain. To explore the effect of the variable curvature on the flow field, the bend has an elliptical median line. The validity of the proposed GIBL model is confronted to the numerical solution of complete Navier- Stokes equations. This comparison includes the wall shear stress which is a very sensitive measure of the flow field. The GIBL results match very well the complete Navier-stokes results for curvatures $K_{max}$ up to 0.4, curvature variations $\vert K'_{max}\vert $ up to 0.7 and eccentricities $e$ up to $\simeq 0.943$ in the whole geometrical domain. The upstream and downstream effects as well as the impact of the curvature discontinuities and the behaviour in the entire bend are well captured by the GIBL model.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This paper appears in BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods - Editors: Carmelo Clavero,José Luis Gracia, Francisco J. Lisbona. ISBN: 978-3-642-19664-5 (Print) - Series Title: Lecture Notes in Computational Science and Engineering, Series Volume: 81 - Series ISSN: 1439-7358. The original version is available at http://link.springer.com/chapter/10.1007%2F978-3-642-19665-2_26
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:25 Jan 2013 11:46

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