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Nonequilibrium velocity fluctuations and energy amplification in planar Couette flow

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Ortiz de Zárate Leira, José María and Sengers, Jan V. (2009) Nonequilibrium velocity fluctuations and energy amplification in planar Couette flow. Physical Review E, 79 (4). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.046308


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Abstract

In this paper we investigate intrinsic thermally excited nonequilibrium velocity fluctuations in laminar planar Couette flow. For this purpose we have complemented the solution of the stochastic Orr-Sommerfeld equation for the intensity of the fluctuations of the wall-normal velocity, presented in a previous publication, with a solution of the stochastic Squire equation for the intensity of the fluctuations of the wall-normal vorticity. We have obtained exact solutions of these equations without boundary conditions and solutions in a Galerkin approximation when appropriate boundary conditions are included. These results enable us to make a quantitative assessment of the intensity of these nonequilibrium fluctuations, as well as of the related energy amplification, which are always present, even in the absence of any externally imposed noise.


Item Type:Article
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©2009 The American Physical Society. We are indebted to Frans T. M. Nieuwstadt, who called our attention to the problem addressed in this research. We are indebted to the Spanish Ministerio de Educacion y Ciencia for supporting J. V. S. during a sabbatical leave at the Universidad Complutense de Madrid where this work was initiated and for continued support through Research Project No. FIS2008-03801.

Uncontrolled Keywords:Rayleigh-Benard Convection, Shear Flows, Hydrodynamic Fluctuations, Light-Scattering, Polymer-Solution, Liquid-Mixture, Q Divergence, Instability, Stability, Fluid
Subjects:Sciences > Physics > Thermodynamics
ID Code:27313
Deposited On:17 Nov 2014 13:42
Last Modified:20 Nov 2014 09:44

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