Assumed and evolution probability density functions in supersonic turbulent combustion calculations

The objective of this investigation is to compare the use of assumed probability density function (PDF) approaches for modeling supersonic turbulent reacting flowfields with the more elaborate approach where the PDF evolution equation is solved. Previous calculations using assumed PDFs have shown modest improvements in the prediction of mean flow variables when compared with experimental data. However, these PDFs were unable to predict the higher order correlations with any reasonable degree of accuracy. Solving the evolution equation for the PDF did show slight improvements in these correlations when compared with experiment, but at a substantial cost in computer storage and time. Both approaches yielded comparable mean flow quantities.

[1]  W. Kollmann The pdf approach to turbulent flow , 1990 .

[2]  S. Pope PDF methods for turbulent reactive flows , 1985 .

[3]  E. O'brien,et al.  The probability density function (pdf) approach to reacting turbulent flows , 1980 .

[4]  Numerical modeling of turbulent supersonic reacting coaxial jets , 1989 .

[5]  A hybrid Reynolds averaged/PDF closure model for supersonic turbulent combustion , 1990 .

[6]  S. Girimaji,et al.  Turbulent reacting flow computations including turbulence-chemistry interactions , 1992 .

[7]  F. Williams,et al.  Turbulent Reacting Flows , 1981 .

[8]  A. T. Hsu,et al.  Comparison of assumed and evolution PDF's in supersonic turbulent combustion calculation , 1994 .

[9]  Hassan Hassan,et al.  Calculation of supersonic turbulent reacting coaxial jets , 1990 .

[10]  Stephen B. Pope,et al.  A Monte Carlo Method for the PDF Equations of Turbulent Reactive Flow , 1981 .

[11]  C. J. Schexnayder,et al.  Application of a two-dimensional parabolic computer program to prediction of turbulent reacting flows , 1978 .

[12]  Joseph A. Wehrmeyer,et al.  Finite-rate chemistry effects in a Mach 2 reacting flow , 1991 .

[13]  Hassan Hassan,et al.  Modeling of supersonic turbulent combustion using assumed probability density functions , 1994 .

[14]  C. J. Jachimowski,et al.  An analytical study of the hydrogen-air reaction mechanism with application to scramjet combustion , 1988 .

[15]  L. Cohen,et al.  Measurements in freejet mixing/combustion flows , 1970 .

[16]  M. S. Raju,et al.  PDF approach for compressible turbulent reacting flows , 1993 .

[17]  Sharath S. Girimaji A simple recipe for modeling reaction-rate in flows with turbulent-combustion , 1991 .

[18]  Andrew T. Hsu,et al.  A study of hydrogen diffusion flames using PDF turbulence model , 1991 .

[19]  Hassan Hassan,et al.  Assumed joint probability density function approach for supersonic turbulent combustion , 1994 .