Probability density function approach for compressible turbulent reacting flows
Abstract
The objective of the present work is to extend the probability density function (PDF) turbulence model to compressible reacting flows. The probability density function of the species mass fractions and enthalpy are obtained by solving a PDF evolution equation using a Monte Carlo scheme. The PDF solution procedure is coupled with a compressible finitevolume flow solver which provides the velocity and pressure fields. A modeled PDF equation compressible flows, capable of treating flows with shock waves and suitable to the present coupling scheme, is proposed and tested. Convergence of the combined finitevolume Monte Carlo solution procedure is discussed. Two supersonic diffusion flames are studied using the proposed PDF model and the results are compared with experimental data; marked improvements over solutions without PDF are observed.
 Publication:

AIAA Journal
 Pub Date:
 July 1994
 Bibcode:
 1994AIAAJ..32Q1407H
 Keywords:

 Compressible Flow;
 Enthalpy;
 Monte Carlo Method;
 Pressure Distribution;
 Probability Theory;
 Reacting Flow;
 Turbulence Models;
 Turbulent Flow;
 Velocity Distribution;
 Convergence;
 Diffusion Flames;
 Shock Waves;
 Fluid Mechanics and Heat Transfer