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Turbulence and Shear Flow Phenomena -1 First International Symposium

ISBN:
1-56700-135-1 (Print)

TURBULENT CHANNEL FLOW WITH STREAMWISE ROTATION: LIE GROUP ANALYSIS, DNS AND MODELING

Martin Oberlack
Department of Fluid Mechanics TU Darmstadt Petersenstr. 30, 64287 Darmstadt, Germany, Graduate School CE, TU Darmstadt Dolivostrasse 15, 64293 Darmstadt, Germany

William H. Cabot
Center for Turbulence Research, Stanford University, Stanford, CA 94305-3030, USA

Michael M. Rogers
Center for Turbulence Research, NASA/Ames Research Center, CA 94035-1000, USA

Abstract

The turbulent channel flow with streamwise rotation has been investigated by means of different analytical, numerical, and modeling approaches. Lie group analysis of the two-point correlation equations led to linear scaling laws for the streamwise mean velocity. In addition it was found that a cross flow in spanwise direction is induced, which may also exhibit a linear region. It is shown that all six components of the Reynolds stress tensor are non-zero. In addition certain symmetries about the centerline have been established for all flow quantities. All the latter findings of the analysis have been very well verified by means of direct numerical calculations. The flow has also been tackled by LES and second-moment closure models. The dynamic LES model captured most of the theoretical and DNS findings quantitatively. The second-moment closure model was able to capture most of the basic trends, but any quantitative agreement could not be achieved.