Kc. Tsai et Ro. Fox, THE BMC GIEM MODEL FOR MICROMIXING IN NON/PREMIXED TURBULENT REACTINGFLOWS/, Industrial & engineering chemistry research, 37(6), 1998, pp. 2131-2141
A novel beta mapping closure (BMC)/generalized IEM (GIEM) model is pro
posed to close the micromixing term in the joint composition probabili
ty density function (PDF) transport equation for nonpremixed, multisca
lar turbulent reacting flows. Because the beta PDF gives an excellent
description of binary inert scalar mixing, it is used to approximate t
he mixture fraction PDF. The proposed model thus effectively extends p
resumed PDF methods to handle finite-rate chemistry without introducin
g ad hoc assumptions about the form of the joint composition PDF. The
BMC/GIEM model can be solved efficiently using a particle-based Monte-
Carlo code. The model is first compared with the amplitude mapping clo
sure (AMC)/GIEM model and homogeneous reaction-diffusion data for scal
ar mixing with a two-step reaction. Its application to inhomogeneous f
lows is demonstrated by simulating a reacting scalar mixing layer with
a one-step reaction using a Lagrangian composition PDF(LCPDF)code. Th
e linear-mean-square-estimation (LMSE) model is also evaluated for com
parison. The results from the BMC/GIEM model are in excellent agreemen
t with experimental data, whereas the LMSE model gives errors in highe
r-order statistics.