The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers.

Kolmogorov, A. N. (1941). The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers. Doklady Akademii Nauk SSSR, 30, 301-305.

Type

Journal article

Intellectual base

Primary research

Year

1941

Volume

30

Pages

301-305

DOI

10.1098/rspa.1991.0075

DOI registrant

The Royal Society

Link

https://www.ams.jhu.edu/~eyink/Turbulence/classics/Kolmogorov41a.pdf

Cited from

mathematics, physics

Cited by

6 citations across 6 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Dimensional Analysis
  • Kolmogorov

    This sourceK41 universal inertial-range scaling dependent only on dissipation rate and wavenumber; underlies the E(k) proportional to k^(-5/3) spectrum; supports the dimensional-turbulence-cascade claim. (English translation reprinted in Proc. R. Soc. Lond. A 434 (1991): 9-13.)

• Dissipation
  • Fluid dynamics: Viscous dissipation in shear flows, turbulence cascade ending in molecular dissipation at the Kolmogorov scale, drag forces, dissipative boundary layers, Reynolds-averaged dissipation rates in engineering turbulence models, as Kolmogorov (1941) characterized through his celebrated theory of the energy cascade from large eddies down to dissipative scales.
• Scale
  • … Different" generalized this across physics, biology, and the social sciences, arguing that new laws emerge at each level of organization; the renormalization group formalized the passage from microscopic to macroscopic physics as a systematic flow in the space of effective theories; Kolmogorov's 1941 turbulence theory
• Scale Invariance
  • Listed in the references but not attached to a specific claim.
• Turbulence
  • The

Domain-specific

• Homogeneous Isotropic Turbulence
  • Not local isotropy by itself. Kolmogorov's small-scale local-isotropy condition was explicitly distinguished from Taylor's global isotropic-turbulence idealization; it does not declare the entire larger flow homogeneous and isotropic.

    This sourceOriginal paper in translation directly compares local isotropy with Taylor's earlier concept; it does not substantiate the frozen source's stronger causal genealogy.

Verification

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Links previously used in the corpus

Before the registry existed this work was also linked 2 other ways.

• https://doi.org/10.1098/rspa.1991.0075 ×1
• https://ui.adsabs.harvard.edu/abs/1941DoSSR..30..301K/abstract ×1

Registry ID ref:d766df5c0e12 · see in the full table