On-shell description of unsteady flames

DOI10.1017/S0022112008002140zbMath1146.76057arXiv0707.2021MaRDI QIDQ3530791

Hazem El-Rabii, Guy Joulin, Kirill A. Kazakov

Publication date: 20 October 2008

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

Full work available at URL: https://arxiv.org/abs/0707.2021

zbMATH Keywords

integro-differential equationsdispersion relationDarrieus-Landau instabilitySivashinsky-Clavin equation

Mathematics Subject Classification ID

Combustion (80A25) Reaction effects in flows (76V05)

Related Items (4)

Numerical study of strongly-nonlinear regimes of steady premixed flame propagation. The effect of thermal gas expansion and finite-front-thickness effects ⋮ Nonlinear analysis of flame hydrodynamic instability at large gas expansion ratio ⋮ HYPOTHESIS ON UNIFICATION OF SOLUTION OF THE CAUCHY PROBLEM FOR OVERDETERMINED SYSTEMS OF DIFFERENTIAL EQUATIONS ⋮ Nonlinear dynamics of premixed flames: from deterministic stages to stochastic influence

Cites Work

• The vorticity jump across a gasdynamic discontinuity
• Flames as gasdynamic discontinuities
• An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows
• On-shell description of stationary flames
• Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• A parametric acoustic instability in premixed flames
• Nonlinear equation for curved stationary flames

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