Nonlinear equation for curved stationary flames

DOI10.1063/1.1447912zbMath1185.80008arXivphysics/0106076OpenAlexW1983870025MaRDI QIDQ5755631

Michael A. Libermann, Kirill A. Kazakov

Publication date: 15 August 2007

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0106076

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Combustion (80A25)

Related Items (9)

Numerical study of strongly-nonlinear regimes of steady premixed flame propagation. The effect of thermal gas expansion and finite-front-thickness effects ⋮ Numerical studies of curved stationary flames in wide tubes ⋮ Nonlinear analysis of flame hydrodynamic instability at large gas expansion ratio ⋮ On-shell description of unsteady flames ⋮ Resolvent methods for steady premixed flame shapes governed by the Zhdanov–Trubnikov equation ⋮ Nonlinear model equation for three-dimensional Bunsen flames ⋮ Self-acceleration and fractal structure of outward freely propagating flames ⋮ On-shell description of stationary flames ⋮ Nonlinear dynamics of premixed flames: from deterministic stages to stochastic influence

Cites Work

• Flames as gasdynamic discontinuities
• An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows
• 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
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• Instability of pole solutions for planar propagating flames in sufficiently large domains
• Nonlinear equation for a curved stationary flame and the flame velocity

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