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Equilibrium Theory of Kolmogorov and Onsager

  • Wolfgang KollmannEmail author
Chapter

Abstract

Homogeneous turbulence cannot be in equilibrium since the kinetic energy \(\mathcal{K}(t)\) (kinetic energy is usually denoted by k, but the notation is changed to avoid confusion with the wavenumber) of turbulence can be shown to satisfy in this case.

References

  1. 1.
    Domaradski, J.A., Rogallo, R.S.: Local energy transfer and nonlocal interactions in homogenous, isotropic turbulence. Phys. Fluids A 2, 413 (1990)ADSCrossRefGoogle Scholar
  2. 2.
    Lesieur, M.: Turbulence in Fluids. Martinus Nijhoff Publishers, Dordrecht (1987)CrossRefGoogle Scholar
  3. 3.
    Meinsma, G.: Dimensional and scaling analysis. SIAM Rev. 61, 159–184 (2019)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Ling, S.C., Huang, T.T.: Phys. Fluids 13, 2912 (1970)ADSCrossRefGoogle Scholar
  5. 5.
    Vassilicos, J.C.: Dissipation in turbulent flows. Ann. Rev. Fluid Mech. 47, 95–114 (2015)ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of California DavisDavisUSA

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