Ra. Baurle et al., MODELING OF SUPERSONIC TURBULENT COMBUSTION USING ASSUMED PROBABILITYDENSITY-FUNCTIONS, Journal of propulsion and power, 10(6), 1994, pp. 777-786
Recent calculations of turbulent supersonic reacting shear flows using
an assumed multivariate beta probability density function (PDF) resul
ted in reduced production rates and a delay in the onset of combustion
. This result is not consistent with available measurements. Earlier w
ork was based on a one-equation turbulence model that required a speci
fication of the Length scale, PDFs that did not yield Favre-averaged q
uantities, and the gradient diffusion assumption. The present work inc
orporates a two-equation turbulence model based on a kappa-omega formu
lation, a PDF that yields Favre averages, and relaxes the gradient dif
fusion assumption. Results suggest that the form of the assumed multiv
ariate PDF and the gradient diffusion assumption are the main causes o
f the discrepancy.