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Weak-inertial flow between two rough surfaces

Lo Jacono, David and Plouraboué, Franck and Bergeon, Alain Weak-inertial flow between two rough surfaces. (2005) Physics of Fluids, vol. 17 (n° 6). pp. 063602-1-033101-10. ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.1923347

Abstract

“Oseen–Poiseuille” equations are developed from an asymptotic formulation of the three-dimensional Navier–Stokes equations in order to study the influence of weak inertia on flows between rough surfaces. The impact of the first correction on macroscopic flow due to inertia has been determined by solving these equations numerically. From the numerical convergence of the asymptotic expansion to the three-dimensional Navier–Stokes flows, it is shown that, at the macroscopic scale, the quadratic correction to the Reynolds equation in the weak-inertial regime vanishes generalizing a similar result in porous media.

Item Type:Article
Additional Information:Thanks to American Institute of Physics editor. The definitive version is available at http://pof.aip.org/ The original PDF of the article can be found at Physics of Fluids website : http://pof.aip.org/resource/1/phfle6/v17/i6/p063602_s1
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Other partners > Ecole Polytechnique Fédérale de Lausanne - EPFL (SWITZERLAND)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
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Deposited By:Franck PLOURABOUE

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