Modelling a transport equation of turbulent reactive mixing flow
Abstract
The evolution of the singlepoint joint scalar probability density function(pdf) of two reactive scalars in idealized turbulent flows was examined by analytical conditioning and the introduction of appropriate scalar intermittency factors. Closure approximations are proposed for turbulent convection, molecular mixing and entrainment. For nonreactive flows, the closed pdf equation for a twospecies turbulent mixing flow is investigated by applying it to the thermal mixing layer of a halfheated grid and to the twoscalar mixing layers behind a twospecies grid, where each layer is equivalent to the thermal mixing layer of a halfheated grid. The closures used in the nonreactive case are used to predict the evolution of B chemical species statistics in a reacting flow system for which no experimental data is yet available. The closed scalar pdf equation is also applied to a homogeneous reactive grid flow, for which limited measured data exist; namely, the mean and root mean square concentration of the reactants. The predicted statistics of reactants is moderately close to the measured data.
 Publication:

Ph.D. Thesis
 Pub Date:
 1984
 Bibcode:
 1984PhDT........46H
 Keywords:

 Equations Of Motion;
 Probability Density Functions;
 Reaction Kinetics;
 Scalars;
 Turbulent Flow;
 Kinetic Equations;
 Mixing Layers (Fluids);
 Mixing Length Flow Theory;
 Statistical Analysis;
 Thermodynamics;
 Transport Properties;
 Fluid Mechanics and Heat Transfer