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Fluctuation background due to incompressible disturbances in laminar shear flows

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Abstract

The incompressible fluctuation background in laminar shear flows with a smooth velocity profile is investigated. Concrete calculations are performed for parallel Couette flow using nonmodal analysis of the linear dynamics of the disturbances. Nonmodal analysis makes it possible to grasp phenomena that could not be grasped in the early investigations, and thereby makes it possible to represent the fluctuation background in a completely new light: In incompressible shear flows the spatial spectral energy density of the fluctuation background is anisotropic, and furthermore in certain regions of wave-number space it is higher than that of the thermal noise. It is also shown that in the stationary state of the nonequilibrium system studied there exists a new, indirect channel for thermalization of the energy of the mean flow—energy is constantly transferred from the mean flow into the spatial Fourier harmonics of vortex pertubations and ultimately into heat. Possible manifestations of the fluctuation background described in this paper are listed.

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Authors and Affiliations

  1. Abastumani Astrophysical Observatory, Georgian Academy of Sciences, 380060, Tbilisi, Georgia

    G. D. Chagelishvili & G. R. Khudzhadze

  2. Space Research Institute, Russian Academy of Sciences, 117810, Moscow, Russia

    G. D. Chagelishvili & G. R. Khudzhadze

Authors
  1. G. D. Chagelishvili
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  2. G. R. Khudzhadze
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Zh. Éksp. Teor. Fiz. 112, 1664–1674 (November 1997)

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Chagelishvili, G.D., Khudzhadze, G.R. Fluctuation background due to incompressible disturbances in laminar shear flows. J. Exp. Theor. Phys. 85, 907–913 (1997). https://doi.org/10.1134/1.558428

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