Bh. Chao et Ck. Law, LAMINAR FLAME PROPAGATION WITH VOLUMETRIC HEAT-LOSS AND CHAIN BRANCHING-TERMINATION REACTIONS, International journal of heat and mass transfer, 37(4), 1994, pp. 673-680
The steady propagation of the planar laminar premixed flame in the dou
bly-infinite domain, with chain branching-termination reactions and we
ak volumetric heat loss, is studied using activation energy asymptotic
s. Two flame propagation regimes are identified and analyzed: a fast r
ecombination regime in which the recombination reaction occurs in a st
eady-state manner with the high-activation-energy branching reaction i
n an overall reaction region which is much thinner than that of diffus
ion, and an intermediate recombination regime in which the recombinati
on region is much thicker than the branching region but much thinner t
han the diffusion region. The analysis yields the characteristic dual
solution, extinction turning point flame response, and shows that the
flame propagation speed is reduced to e-1/2 of the adiabatic value for
both reaction mechanisms. The generality of this limit flame speed is
noted.