Oscillations and island evolution in radiating diffusion flames

DOI10.1080/13647830500293099zbMath1077.80006OpenAlexW2051864216MaRDI QIDQ5711987

Amy B. Moore, Milan Miklavčič, Indrek S. Wichman

Publication date: 22 December 2005

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

Full work available at URL: https://doi.org/10.1080/13647830500293099

zbMATH Keywords

Hopf bifurcationdiffusion flamesstable limit cyclestable oscillations

Mathematics Subject Classification ID

Combustion (80A25) Bifurcations in context of PDEs (35B32)

Related Items

Bifurcation analysis of steady states and limit cycles in a thermal pulse combustor model ⋮ Chaotic oscillation in diffusion flame induced by radiative heat loss ⋮ The effect of thermal expansion on diffusion flame instabilities ⋮ Homoclinic bifurcations in radiating diffusion flames ⋮ Diffusive-thermal instabilities of diffusion flames: onset of cells and oscillations ⋮ Period doubling cascade in diffusion flames

Cites Work

• Geometric theory of semilinear parabolic equations
• On the stability of one-dimensional diffusion flames established between plane, parallel, porous walls
• The onset of oscillations in diffusion flames
• Diffusional-thermal instability in strained diffusion flames with unequal Lewis numbers
• Diffusional-thermal instability of diffusion flames
• Linear analysis of diffusional-thermal instability in diffusion flames with Lewis numbers close to unity
• A general asymptotic theory of diffusion flames with application to cellular instability