ONE-DIMENSIONAL EQUILIBRIUM SPECTRA IN ISOTROPIC TURBULENCE. II

Abstract

IT IS SHOWN THAT WHEN A CUT-OFF IS IMPOSED ON Heisenberg's equilibrium spectrum the cut-off wave number cannot be assigned arbitrarily but must have the value k = 3KH /8 ) .2 3 1/4 The energy spectrum is then of the form E(k) = (8 /9KH) k2/3 -5/3 for 0 < k < k and zero otherwise. The velocity and pressure correlations corresponding to this spectrum are then obtained. From these results it is then possible to determine the ratio of the mean-square pressure gradient to the mean-square viscous force. For KH = 0.45, this ratio is found to have a value of about 30. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0262997

Entities

People

  • C. Chandler
  • W.h. Reid

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Barometric Pressure
  • Biological Phenomena
  • Ecological And Environmental Phenomena
  • Ecological And Environmental Processes
  • Meteorological Phenomena
  • Pressure Gradients
  • Spectra
  • Turbulence

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Plasma Physics.