The cellular nature of hydrodynamic flame instability

DOI10.1016/0167-2789(90)90021-GzbMath0698.76121OpenAlexW2059097946MaRDI QIDQ912744

Semion Gutman, Gregory I. Sivashinsky

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90021-g

zbMATH Keywords

cusp-shape flameLandau-Darrieus instabilitynonlinear evolution of a weakly perturbed planar flame

Mathematics Subject Classification ID

Chemically reacting flows (80A32) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (9)

Instability of pole solutions for planar propagating flames in sufficiently large domains ⋮ On self-acceleration of outward propagating wrinkled flames ⋮ Transformation of premixed flame behavior with hydrodynamic and body-force instabilities ⋮ High accuracy periodic solutions to the Sivashinsky equation ⋮ Turbulent propagation of premixed flames in the presence of Darrieus–Landau instability ⋮ Nonlinear dynamics of premixed flames: from deterministic stages to stochastic influence ⋮ Numerical simulation of flames as gas-dynamic discontinuities ⋮ Nonlinear cellular instabilities of planar premixed flames: numerical simulations of the Reactive Navier–Stokes equations ⋮ A comparison analysis of Sivashinsky's type evolution equations describing flame propagation in channels

Cites Work

• A model equation in combustion theory exhibiting an infinite number of secondary bifurcations
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
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