The nonlinear response of inverted ''V'' flames to equivalence ratio nonuniformities

Journal Article · Fri Aug 15 04:00:00 EDT 2008 · Combustion and Flame

DOI:https://doi.org/10.1016/J.COMBUSTFLAME.2008.05.017· OSTI ID:21081122

Birbaud, A L; Ducruix, S; Durox, D; Candel, S ^[1]

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1. Ecole Centrale Paris, EM2C Laboratory, CNRS, 92295 Chatenay-Malabry (France)

Recent studies indicate that heat release fluctuations generated by equivalence ratio perturbations may constitute sources of instability with effects similar to those induced by acoustic perturbations. The present article addresses this issue by considering the dynamics of an inverted laminar dihedral (''V'') flame spreading in an open geometry when this flame is submitted to equivalence ratio modulations. The problem is investigated with numerical simulations by first establishing a steady state flame which then evolves in a uniform flow transporting a fixed level of equivalence ratio perturbations. The flame features wrinkles of increasing amplitude locking on the convected composition perturbations. The wrinkling amplitude grows with distance from the injector. For sufficiently large wrinkle amplitudes, the flame interacts with the fresh mixture outer boundary, giving rise to sudden disruptions of the flame sheet. The rapid burning of fresh mixture pockets generates a nonlinear heat release signal with abrupt changes in the waveform. It is found that high levels of modulation induce axial velocity perturbations, which in turn interact with the flame and modify the response. Calculations described in this article may serve to guide analytical modeling of the response of combustion to equivalence ratio inhomogeneities. A simple model is devised on this basis to distinguish regimes corresponding to weak and strong interactions. (author)

• OSTI ID: 21081122
• Journal Information: Combustion and Flame, Journal Name: Combustion and Flame Journal Issue: 3 Vol. 154; ISSN CBFMAO; ISSN 0010-2180
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
AMPLITUDES
COMBUSTION
COMBUSTION KINETICS
Combustion dynamics
DISTANCE
DISTURBANCES
Equivalence ratio perturbations
FLUCTUATIONS
Flame response
HEAT
INSTABILITY
LAMINAR FLAMES
MATHEMATICAL MODELS
MIXTURES
MODULATION
NONLINEAR PROBLEMS
PERTURBATION THEORY
SIMULATION
STEADY-STATE CONDITIONS
VELOCITY
WAVE FORMS