D. Thevenin et S. Candel, EFFECT OF VARIABLE STRAIN ON THE DYNAMICS OF DIFFUSION FLAME IGNITION, Combustion science and technology, 91(1-3), 1993, pp. 73-94
In many combustion applications, the strain rate determines the flame
response. Experimental evidence and theoretical arguments indicate tha
t the strain rate defines the conditions of ignition in many flow conf
igurations. Ignition in time-variable strained flows is analysed in th
is article. The response of a reactive element submitted to a time dep
endent strain rate is considered with numerical and asymptotic methods
. The results obtained for this generic problem are then used to predi
ct the ignition of non-premixed shear flows formed by hot and cold rea
ctants. The plane mixing layer and coaxial jet formed by streams of hy
drogen and hot air are specifically considered. The spatial distributi
on of the typical strain rate is first determined and a transformation
into a local frame of reference is used to describe a spatially evolv
ing strain rate as a time-dependent quantity. This provides the comple
te strain rate history for an initial reactive interface. Asymptotic a
nalysis gives the ignition time which is then transformed back into an
ignition distance. A good agreement is found between theoretical resu
lts and four test cases pertaining to supersonic combustion experiment
s.