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Uniformly Valid Asymptotic Flow Analysis in Curved Channels

Zagzoule, Mokhtar and Cathalifaud, Patricia and Cousteix, Jean and Mauss, Jacques Uniformly Valid Asymptotic Flow Analysis in Curved Channels. (2012) Physics of Fluids, vol. 24 (n° 1). pp. 013601-1. ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.3673568

Abstract

The laminar incompressible flow in a two-dimensional curved channel having at its upstream and downstream extremities two tangent straight channels is considered. A global interactive boundary layer (GIBL) model is developed using the approach of the successive complementary expansions method (SCEM) which is based on generalized asymptotic expansions leading to a uniformly valid approximation. The GIBL model is valid when the non dimensional number μ = δmath is O(1) and gives predictions in agreement with numerical Navier-Stokes solutions for Reynolds numbers Re ranging from 1 to 10 puissance 4 and for constant curvatures δ = math ranging from 0.1 to 1, where H is the channel width and Rc the curvature radius. The asymptotic analysis shows that μ, which is the ratio between the curvature and the thickness of the boundary layer of any perturbation to the Poiseuille flow, is a key parameter upon which depends the accuracy of the GIBL model. The upstream influence length is found asymptotically and numerically to be O(math).

Item Type:Article
Additional Information:Thanks to AIP editor. The original PDF of the article can be found at http://pof.aip.org/resource/1/phfle6/v24/i1/p013601_s1
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
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Deposited By: Patricia CATHALIFAUD
Deposited On:21 Nov 2012 08:41

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