Scalarvelocity pdf equations for turbulent shear flows
Abstract
The transport equation for the pdf of velocity and scalars is analyzed in the Lagrangian and Eulerian frames. A closed form for the twotime pdf is developed. The time scale for the turbulent velocity fluctuations is determined as an integral of the autocorrelation, thus avoiding a transport equation for the dissipation rate. The model is applied to a plane mixing layer and evaluated by comparison of moments up to third order with experiments.
 Publication:

American Institute of Aeronautics and Astronautics Conference
 Pub Date:
 June 1987
 Bibcode:
 1987aiaa.confU....K
 Keywords:

 Computational Fluid Dynamics;
 Mixing Length Flow Theory;
 Probability Density Functions;
 Shear Flow;
 Turbulent Flow;
 Autocorrelation;
 Euler Equations Of Motion;
 Lagrange Coordinates;
 Mixing Layers (Fluids);
 Stochastic Processes;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer