Pf. Embid et al., EFFECTIVE GEOMETRIC FRONT DYNAMICS FOR PREMIXED TURBULENT COMBUSTION WITH SEPARATED VELOCITY SCALES, Combustion science and technology, 103(1-6), 1994, pp. 85-115
We study the large scale effective flame front equations for premixed
turbulent combustion with separated scale turbulent velocity fields re
cently formulated and derived by Majda and Souganidis. For the particu
lar case of a steady incompressible velocity field consisting of a mea
n flow plus a small scale periodic shear we use analytical expressions
and numerical quadrature to study the effective turbulent flame front
velocity, its dependence on the turbulence intensity, and the role pl
ayed by the mean flow. In general the dependence of the turbulent flam
e speed on the turbulence intensity is nonlinear, and the local logari
thmic rate of growth can take a continuum of values, depending on the
magnitudes of the mean and turbulent intensities. In the weak turbulen
ce limit this dependence can be either linear or quadratic, depending
on the magnitude and direction of the mean dow relative to the shear.
In the strong turbulence limit the dependence is always linear. This b
ehavior is documented for various forms of the small scale shear flow.