A STUDY OF BURGERS' MODEL EQUATION OF TURBULENCE,

Abstract

Turbulence generated by Burger's model equation yielded good approximation to real turbulence. The energy spectrum fell off like k to the -2 power for times greater than 6 seconds. The energy spectrum of turbulence generated by the model equation was found to follow the k to the -2 power law. The spectrum obtained by the Wiener-Hermite expansion of the model equation and the spectrum of real turbulence show the same result. It was concluded that the probability distribution of turbulence velocity fields becomes almost Gaussian distribution even when starting with a nonGaussian distribution. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0616610

Entities

People

  • Dah-teng Jeng

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Equations
  • Gaussian Distributions
  • Mathematics
  • Probability
  • Probability Distributions
  • Spectra
  • Stochastic Processes
  • Stratified Fluids
  • Turbulence

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.
  • Statistical inference.