Statistical equations for turbulent compressible fluids
Abstract
The statistical equations of fluids with variable densities in turbulent flows are written first in general form (Favre, 1969, 1971, 1972), and then by choosing from these forms complementary definitions for decomposition of aleatory quantities into macroscopic parts and for fluctuations which lead to the most suitable expressions. These equations express the balance of mass, the balance of quantity of motion, the balance of energy, and the balance of entropy of the fluid. The present work also employs equations of state, as well as relations concerning the physical properties of the fluid (such as viscosity, thermal conductivity, molecular diffusivity, and specific heat). Generalities on the theory behind these equations and on the statistical balance of transportable quantities precede the analysis.
 Publication:

In: CANCAM 75; Proceedings of the Fifth Canadian Congress of Applied Mechanics
 Pub Date:
 1975
 Bibcode:
 1975canc.proc....3F
 Keywords:

 Compressible Fluids;
 Flow Equations;
 Statistical Mechanics;
 Turbulent Flow;
 Conservation Laws;
 Flow Velocity;
 Random Processes;
 Reynolds Number;
 Variance (Statistics);
 Fluid Mechanics and Heat Transfer