THE EQUATIONS OF COMPRESSIBLE TURBULENT GASES

Abstract

The statistical equations for a compressible gas are developed in a general form. All the properties (density, velocity, pressure, internal energy and temperature; also viscosity, heat conductivity, and specific heats) are considered to be turbulent and are separated into macroscopic quantities and fluctuations. Freedom is retained to make the most convenient definitions of these separations at a later stage. First a complete set of equations is derived from the general form, taking as the fundamental macroscopic quantities the mean values of the velocity, the temperature, the density and the pressure. Second the choice of the most convenient fundamental macroscopic quantities is discussed, which leads to the proposed use of the mean values of the massweighted velocity, the internal energy per unit volume, the density, and the pressure. The corresponding equations have simpler forms than the preceding equations, then physical interpretation is clearer, and they appear to be more convenient for theoretical work, and probably for turbulence measurements.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0622097

Entities

People

  • A. J. Favre

Tags

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Coordinate Systems
  • Dynamics
  • Energy
  • Equations
  • Equations Of Motion
  • Equations Of State
  • Fluid Dynamics
  • Fluid Mechanics
  • Heat Transfer
  • Hot Wire
  • Kinetic Energy
  • Measurement
  • Molecular Dynamics
  • Pressure Gradients
  • Thermal Conductivity
  • Turbulence

Readers

  • Fluid Dynamics.
  • Theoretical Analysis.