On model evolution equations for the whole surface of three-dimensional expanding wrinkled premixed flames

DOI10.1088/1364-7830/4/3/305zbMath0982.76097OpenAlexW2094504620MaRDI QIDQ4514509

Guy Joulin, Yves D'Angelo, Gaël Boury

Publication date: 8 April 2002

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1364-7830/4/3/305

zbMATH Keywords

hydrodynamic instabilityflame frontHuygens-type nonlinearityLegendre-Fourier basislocal curvature effectmodel evolution equationpseudo-spectral integrationthree-dimensional expanding wrinkled premixed flame

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Combustion (80A25) Reaction effects in flows (76V05)

Related Items (15)

Characteristics of cylindrical flame acceleration in outward expansion ⋮ A stretch-temperature model for flame-flow interaction ⋮ ESTIMATION OF THE LINEAR TRANSIENT GROWTH OF PERTURBATIONS OF CELLULAR FLAMES ⋮ Computational analysis of the steady states of the Sivashinsky model of hydrodynamic flame instability ⋮ Mean cell wavelengths of wrinkled premixed flames in weak gravity fields: Spontaneous evolutions ⋮ On the Rayleigh-Plateau instability ⋮ Finite-time blow-up for a thin-film surface evolution problem ⋮ Flame-acoustic resonance initiated by vortical disturbances ⋮ Velocity of weakly turbulent flames of finite thickness ⋮ Nonlinear model equation for three-dimensional Bunsen flames ⋮ Comparison of experiments and a nonlinear model equation for spatially developing flame instability ⋮ Potential model of a two-dimensional Bunsen flame ⋮ On the Rayleigh-Plateau instability. The regularity in H^3_per ⋮ The rate of expansion of spherical flames ⋮ An interface evolution problem in the axisymmetric case

Uses Software

• SPHEREPACK

Cites Work

• Unnamed Item
• A fast transform for spherical harmonics
• On self-acceleration of outward propagating wrinkled flames
• The statistical analysis of a random, moving surface
• Flames as gasdynamic discontinuities
• An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• A parametric acoustic instability in premixed flames
• Darrieus - Landau instability, growing cycloids and expanding flame acceleration

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