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Title: On the linear stability of turbulent plane strain flow in a rotating frame
Authors: Akylas, Evangelos 
Langer, C.A.
Kassinos, S. C.
Demosthenous, E.
Keywords: Turbulent flows;Tensor methods;Rotating flows;Reynolds stress modeling;Isotropic turbulence
Category: Civil Engineering
Field: Engineering and Technology
Issue Date: 2007
Publisher: American Institute of Physics
Source: Physics of fluids (1994), 2007, Volume 19, Issue 7, pages 075108
Abstract: We apply inviscid rapid distortion theory to the limiting hyperbolic case of turbulent plain strain flow in a rotating frame and investigate the dependence of the evolution of the turbulent kinetic energy on the frame rotation rate. We derive an analytical two-dimensional solution that, unlike previous oversimplified pressureless analyses, allows for an accurate approximation of the three-dimensional initially isotropic problem. From the analytical solutions, we determine the correct stability criterion for the evolution of the turbulent kinetic energy in this flow. Also, we calculate the asymptotic states of the turbulence, in terms of the normalized Reynolds stresses and structure dimensionality tensor components, which coincide with the exact three-dimensional numerical results.
ISSN: 1070-6631
1089-7666 (Online
DOI: 10.1063/1.2750683
Rights: © American Institute of Physics
Type: Article
Appears in Collections:Άρθρα/Articles

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