1996
DOI: 10.1016/0010-2180(96)00049-1
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Response of a laminar premixed flame to flow oscillations: A kinematic model and thermoacoustic instability results

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Cited by 460 publications
(224 citation statements)
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“…In this approach, the kinematic evolution of the flame front is related to fluctuations of the flame surface -3 -area and flame heat release. Fleifil et al [25] solved the linearised G equation for a laminar flame stabilised in a simple duct flow and developed a theoretical flame transfer function. Later, Ducruix et al [22] …”
Section: Introductionmentioning
confidence: 99%
“…In this approach, the kinematic evolution of the flame front is related to fluctuations of the flame surface -3 -area and flame heat release. Fleifil et al [25] solved the linearised G equation for a laminar flame stabilised in a simple duct flow and developed a theoretical flame transfer function. Later, Ducruix et al [22] …”
Section: Introductionmentioning
confidence: 99%
“…A short overview shall be given here. Lean CH 4 -flames subject to time-dependent perturbations of the strain rate are investigated in [2], focussing on the time delay between perturbation and flame response as well as the amplitude of the flame response due to different perturbation frequencies. Oscillating strain rates are also investigated in [3] by using large activation energy asymptotics to analyse the response behaviour of a counterflow diffusion flame.…”
mentioning
confidence: 99%
“…Oscillating strain rates are also investigated in [3] by using large activation energy asymptotics to analyse the response behaviour of a counterflow diffusion flame. Fleifil et al [4] describes the response of a laminar premixed flame stabilized on the rim of a tube subjected to flow oscillations and develops a model which captures the flame surface kinematics. In [1], the behaviour of the heat release of laminar premixed flames during the influence of equivalence ratio oscillations is investigated, finding that the disturbance of flame area and flame speed as well as the heat of reaction control the response of the heat release to the perturbation.…”
mentioning
confidence: 99%
“…Fleifil et al [25] used a kinematic model to calculate the transfer function in the linear regime between heat release and upstream velocity oscillation of a premixed flame stabilized on the rim of a tube. The kinematic approach was later extended by Schuller et al [26] by including convective effects of the flow modulations propagating upstream of the flame.…”
Section: The Attached Flame Methods (Afm)mentioning
confidence: 99%
“…In this paper we present a new phenomenological model for the unsteady heat release from an attached flame. The model, denoted the attached flame method (AFM), is similar to the analytical flame front model [25,26] in the sense that a real-time differential equation is solved to capture the kinematics of the thermoacoustic instabilities. However, while the kinematic model is based on the G-equation approach to determine the location of the flame front, in AFM the flame position is obtained directly from the equations for the species mass fractions.…”
Section: The Attached Flame Methods (Afm)mentioning
confidence: 99%