PREDICTED LARGE EDDY STRUCTURE OF A TURBULENT WAKE.

Abstract

The report attempts to predict, by an energy extremum principle, the 'large eddy' structure of the wake. Lumley's postulate of instantaneously stationary global energy content of the large, i.e., nonlinear disturbances, forms the foundation of the study. Integration of the energy equation over the entire flow removes all transport contributions and results in the simple statement that production balances dissipation. This equation is linear in the disturbances and depends upon the mean strain rate and an undetermined parameter; in fact, a classic eignevalue problem is to be solved. It is necessary to assume a mean profile, based on experiment and a constant 'eddy viscosity' whose value, however, is to be determined. The problem is solved in two-dimensional wavenumber space by virtue of a homogeneity assumption. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0704183

Entities

People

  • F. R. Payne

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Dissipation
  • Equations
  • Homogeneity
  • Mathematics
  • Physical Properties
  • Production
  • Stationary
  • Strain Rate
  • Transport Ships
  • Two Dimensional
  • Viscosity

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis

Technology Areas

  • Space