A REVIEW OF KRAICHNAN'S THEORY OF TURBULENCE

Abstract

The principal assumptions used by R. Kraichnan in formulating a theory of turbulence are reviewed, and their meaning is examined in the light of a mathematical model. A regression function is defined and used to evaluate the triple correlations. The importance of the fourth order cumulants is discussed. The merits of the theory are illustrated by comparison with experimental results -- in the case of the mathematical model -- of grid turbulence (skewness factor) and of turbulence at very large Reynolds number.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0814983

Entities

People

  • Robert Betchov

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Autocorrelation
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Mathematical Models
  • Mechanics
  • Models
  • Orientation (Direction)
  • Perturbations
  • Probability
  • Reynolds Number
  • Secondary Waves
  • Skewness
  • Spectra
  • Turbulence

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Regression Analysis.