PDF methods for turbulent reactive flows
Abstract
The aim of the methods described is to calculate the properties of turbulent reactive flow fields. At each point in the flow field, a complete statistical description of the state of the fluid is provided by the velocitycomposition joint pdf. This is the joint probability density function (pdf) of the three components of velocity and of the composition variables (species mass fractions and enthalpy). The principal method described is to solve a modelled transport equation for the velocitycomposition joint pdf. For a variabledensity flow with arbitrarily complex and nonlinear reactions, it is remarkable that in this equation the effects of convection, reaction, body forces and the mean pressure gradient appear exactly and so do not have to be modelled. Even though the joint pdf is a function of many independent variables, its transport equation can be solved by a Monte Carlo method for the inhomogeneous flows of practical interest. A second method that is described briefly is to solve a modelled transport equation for the composition joint pdf. The objective of the paper is to provide a coomprehensive and understandable account of the theoretical foundations of the pdf approach.
 Publication:

Progress in Energy and Combustion Science
 Pub Date:
 1985
 Bibcode:
 1985PrECS..11..119P
 Keywords:

 Computational Fluid Dynamics;
 Flow Distribution;
 Probability Density Functions;
 Reaction Kinetics;
 Stochastic Processes;
 Turbulent Flow;
 Chemical Composition;
 Density Distribution;
 Enthalpy;
 EulerLagrange Equation;
 Monte Carlo Method;
 Multiphase Flow;
 Statistical Analysis;
 Transport Theory;
 Turbulent Boundary Layer;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer