An alternative formulation of the equations of turbulent motion for a fluid of variable density
Abstract
The turbulent motion of a fluid of variable density is investigated analytically, regrouping the terms of the standard formulation of the equations of motion into three sets of convective correlations and isolating a flux term which depends on the instantaneous value of the mass density. The meanvalue equations for continuity, dynamics, enthalpy, concentration, and kinetic energy are derived; the equations for the principle flows are obtained by analogy to the isovolumetric case; and expressions for kineticenergy coupling and pressure fluctuations are developed. The secondary terms of the equations and a comparison of terms in the constantdensity and variabledensity problems are presented in tables.
 Publication:

Journal de Mecanique Theorique et Appliquee
 Pub Date:
 1985
 Bibcode:
 1985JMecT...4..375C
 Keywords:

 Density Distribution;
 Flow Equations;
 Turbulent Flow;
 Incompressible Flow;
 Kinetic Energy;
 Pressure Oscillations;
 Fluid Mechanics and Heat Transfer