OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

Two-equation modeling of turbulent rotating flows

Cazalbou, Jean-Bernard and Chassaing, Patrick and Dufour, Guillaume and Carbonneau, Xavier Two-equation modeling of turbulent rotating flows. (2005) Physics of Fluids, vol. 1 (n° 5). ISSN 1070-6631

[img]
Preview
(Document in English)

PDF (publisher's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
190kB

Official URL: http://link.aip.org/link/?PHFLE6/17/055110/1

Abstract

The possibility to take into account the effects of the Coriolis acceleration on turbulence is examined in the framework of two-equation eddy-viscosity models. General results on the physical consistency of such turbulence models are derived from a dynamical-system approach to situations of time-evolving homogeneous turbulence in a rotating frame. Application of this analysis to a (k,epsilon) model fitted with an existing Coriolis correction [J. H. G. Howard, S. V. Patankar, and R. M. Bordynuik, "Flow prediction in rotating ducts using Coriolis-modified turbulence models", ASME Trans. J. Fluids Eng. 102, (1980)] is performed. Full analytical solutions are given for the flow predicted with this model in the situation of homogeneously sheared turbulence subject to rotation. The existence of an unphysical phenomenon of blowup at finite time is demonstrated in some range of the rotation-to-shear ratio. A direct connection is made between the slope of the mean-velocity profile in the plane-channel flow with spanwise rotation, and a particular fixed point of the dynamical system in homogeneously sheared turbulence subject to rotation. The general analysis, and the understanding of typical inaccuracies and misbehavior observed with the existing model, are then used to design a new model which is free from the phenomenon of blowup at finite time and able to account for both of the main influences of rotation on turbulence: the inhibition of the spectral transfer to high wave numbers and the shear/Coriolis instability.

Item Type:Article
Additional Information:http://pof.aip.org/pof/top.jsp
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
French research institutions > Centre National de la Recherche Scientifique - CNRS
Laboratory name:
Statistics:download
Deposited By: J.-B. Cazalbou
Deposited On:16 Apr 2008 09:49

Repository Staff Only: item control page