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May 1, 1959Journal of Fluid Mechanics

The structure of isotropic turbulence at very high Reynolds numbers

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Authors

RKRobert H. KraichnanCourant Institute of Mathematical Sciences

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Implication

Randomized trial applies a new theory of isotropic turbulence, suggesting improvements over existing models.

Key Points

  • This paper aims to analyze isotropic turbulence at high Reynolds numbers using a novel theoretical framework.
  • Applied a new perturbation method to study homogeneous turbulence.
  • Evaluated time-correlation and response functions of Fourier amplitudes in inertial and dissipation ranges.
  • Determined energy spectrum using a non-linear integral equation suitable for iteration.
  • Energy spectrum in the inertial range found to be E(k) ∝ (k/k_d)^{-3/2} for very high Reynolds numbers.
  • Skewness factor of nth-order velocity derivative has asymptotic form A_n R_0^{-1/6}, indicating universal constants are involved.
  • Theory shows improved agreement with experimental data compared to Kolmogorov theory.

Cite This Study

Robert H. Kraichnan (1959) studied this question.

synapsesocial.com/papers/6a0dd516cae7912d2fa55809https://doi.org/10.1017/s0022112059000362
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Also Consider

Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Relation of Fourth-Order to Second-Order Moments in Stationary Isotropic Turbulence1957 · 62 citations
  2. 2Similarity and self-preservation in isotropic turbulence1951 · 169 citations
  3. 3Spectrum of Locally Isotropic Turbulence1948 · 131 citations