This study gives an updated account of our current ability to describe multimaterial compressible turbulent flows by means of a one-point transport model. Evolution equations are developed for a number of second-order correlations of turbulent data, and approximations of the gradient type are applied to additional correlations to close the system of equations. The principal fields of interest are the one-point Reynolds tensor for variable-density flow, the turbulent energy dissipation rate, and correlations for density-velocity and density-density fluctuations. This singlefleld description of turbulent flows is compared in some detail to two-field flow equations for nonturbulent, highly dispersed flow with separate variables for each fleld. This comparison suggests means for improved modeling of some correlations not subjected to evolution equations.

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