A parametric acoustic instability in premixed flames

DOI10.1017/S002211209100349XzbMath0735.76035OpenAlexW2004436380MaRDI QIDQ3981487

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Publication date: 26 June 1992

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002211209100349x

zbMATH Keywords

Mathieu equationcellular instabilityacoustic standing waves in tubesClavin-Williams laminar wrinkled flame theorymultidimensional instabilityoscillating field of accelerationpremixed laminar quasi-planar flame front

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Hydrodynamic stability (76E99)

Related Items (23)

Numerical study of strongly-nonlinear regimes of steady premixed flame propagation. The effect of thermal gas expansion and finite-front-thickness effects ⋮ Linear and weakly nonlinear instability of a premixed curved flame under the influence of its spontaneous acoustic field ⋮ Flow-flame interaction in a closed chamber ⋮ Nonlinear response of premixed-flame fronts to localized random forcing in the presence of a strong tangential blowing ⋮ Study of the parametric oscillator driven by narrow-band noise to model the response of a fluid surface to time-dependent accelerations ⋮ Self-turbulent flame speeds ⋮ Lattice-Boltzmann modeling of the quiet and unstable PRECCINSTA burner modes ⋮ Modeling of combustion and turbulent jet diffusion flames in fractal dimensions ⋮ Onset of thermoacoustic instability in turbulent combustors: an emergence of synchronized periodicity through formation of chimera-like states ⋮ Driving and damping mechanisms for transverse combustion instabilities in liquid rocket engines ⋮ On-shell description of unsteady flames ⋮ The nonlinear equation for curved flames applied to the problem of flames in cylindrical tubes ⋮ Analytical scalings for flame interaction with sound waves ⋮ Analysis of low-frequency wave scattering by turbulent premixed flame ⋮ Flame-acoustic resonance initiated by vortical disturbances ⋮ Velocity of weakly turbulent flames of finite thickness ⋮ Flame wrinkle destruction processes in harmonically forced, turbulent premixed flames ⋮ On nonlinear model equations for the response of premixed flames to acoustic like accelerations ⋮ Stabilization of the hydrodynamic flame instability by a weak shock ⋮ Large-activation-energy theory for premixed combustion under the influence of enthalpy fluctuations ⋮ A unified framework for nonlinear combustion instability analysis based on the flame describing function ⋮ Flame propagation along the vortex axis ⋮ On model evolution equations for the whole surface of three-dimensional expanding wrinkled premixed flames

Cites Work

• Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames
• Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity

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