C. Petrov et A. Ghoniem, A UNIFORM STRAIN MODEL OF ELEMENTAL FLAMES IN TURBULENT COMBUSTION SIMULATIONS, Combustion and flame, 111(1-2), 1997, pp. 47-64
The paper describes a multistep chemistry, combustion-zone submodel fo
r turbulent combustion simulation which can be used in the regime of f
lamelet combustion. The flowfield in the submodel is simplified by ass
uming a uniform strain rate across the flame structure as opposed to t
he variable strain observed in the corresponding boundary-layer soluti
on. This assumption allows the decoupling of the momentum equation fro
m the energy and species concentration equations, and, together with a
series of coordinate transformations, the reduction of the system of
governing equations to a set of reaction-diffusion equations which can
be accurately and easily integrated. Study shows that the accuracy of
the model can be greatly improved if an effective uniform strain rate
instead of the imposed strain rate at the far field is used. We devel
op an expression for the effective uniform strain rate as a function o
f the flow-imposed strain and the adiabatic flame temperature. Results
obtained over a wide range of strain rates show that the results of t
he uniform strain-rate model agree well with those obtained using the
boundary-layer approximation in terms of the steady-state flame struct
ure and evolution of the burning velocity in response to a stepwise ch
ange in strain rate for both premixed and diffusion flames. It is also
shown that the uniform strain-rate model with reduced chemical kineti
cs is able to produce the extinction S curve, steady-state profiles, a
nd a transient response which are close to that of the exact solution.
The importance of the dynamics of flame-flow interaction is shown in
the paper by comparing the actual response of a flame to sudden variat
ions in strain rate with the quasisteady response implied in the ''fla
melet library'' approach. It is shown that the latter could lead to er
rors in the prediction of burning velocity. (C) 1997 by The Combustion
Institute.