Calculations of velocity-scalar joint pdf's
Abstract
A joint pdf transport equation has been solved to calculate the properties of the self-similar, plane, turbulent jet. The joint probability density function (pdf) is that of the three velocity components and of the nozzle-fluid concentration, which is a conserved, passive scalar. The advantage of basing a turbulence closure on the joint pdf equation is that convective transport appears in closed form. Consequently, the gradient-diffusion assumption is avoided. For self-similar shear flows, the joint pdf is a function of five variables. Its transport equation is solved by a Lagrangian method with stochastic modeling of the unclosed terms. The calculated Reynolds stresses and triple velocity correlations agree well with the experimental data. Calculated pdf's and joint pdf's are also reported.
- Publication:
-
Turbulent Shear Flows 3
- Pub Date:
- 1982
- Bibcode:
- 1982tsfi.symp..113P
- Keywords:
-
- Probability Distribution Functions;
- Transport Properties;
- Turbulent Jets;
- Two Dimensional Flow;
- Differential Equations;
- Flow Velocity;
- Reynolds Stress;
- Scalars;
- Fluid Mechanics and Heat Transfer