Jb. Freund et al., Compressibility effects in a turbulent annular mixing layer. Part 2. Mixing of a passive scalar, J FLUID MEC, 421, 2000, pp. 269-292
The mixing of fuel and oxidizer in a mixing layer between high-speed stream
s is important in many applications, especially air-breathing propulsion sy
stems. The details of this process in a turbulent annular mixing layer are
studied with direct numerical simulation. Convective Mach numbers of the si
mulations range from M-c = 0.1 to M-c = 1.8. Visualizations of the scalar h
eld show that at low Mach numbers large intrusions of nearly pure ambient o
r core fluid span the mixing region, whereas at higher Mach numbers these i
ntrusions are suppressed. Increasing the Mach number is found to change the
mixture fraction probability density function from non-marching to marchin
g and the mixing efficiency from 0.5 at M-c = 0.1 to 0.67 at M-c = 1.5. Sca
lar concentration fluctuations and the axial velocity fluctuations become h
ighly correlated as the Mach number increases and a suppressed role of pres
sure in the axial momentum equation is found to be responsible for this. An
isotropy of scalar flux increases with M-c, and is explained via the suppre
ssion of transverse turbulence lengthscale.