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Fifth International Symposium on Turbulence and Shear Flow Phenomena
August, 27-29, 2007, Technische Universität München, Munich, Germany

DOI: 10.1615/TSFP5

ANALYTICAL SOLUTIONS FOR STRATIFIED TURBULENT SHEAR FLOW IN A ROTATING FRAME

pages 1263-1268
DOI: 10.1615/TSFP5.1970
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RESUMO

Rapid distortion theory is applied to stratified homogeneous turbulence which is sheared in a rotating frame. Insight into the stabilizing and destabilizing effects of the combined stratification and frame rotation is gained by considering initial fields that are two-dimensional (but three-componential), with the axis of independence aligned with the direction of the mean shear. For these conditions we derive solutions for the Fourier components of the flow variables, and we compute one-point statistics such as the Reynolds stresses and the structure dimensionality tensor. The results are in very good agreement with the exact numerical solution for initially three-dimensional isotropic homogeneous turbulence, especially regarding the large time behavior, and they could be a reference point for the development of turbulence models. We also study the short time behavior of the 3D initially isotropic case, and we show that it is mainly dependent on the level of stratification.

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