Dynamics of hydrodynamically unstable premixed flames in a gravitational field – local and global bifurcation structures

DOI10.1080/13647830.2023.2165968OpenAlexW4318499424WikidataQ121742862 ScholiaQ121742862MaRDI QIDQ6046658

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Publication date: 6 September 2023

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

Full work available at URL: https://doi.org/10.1080/13647830.2023.2165968

zbMATH Keywords

global bifurcationcontinuationflame dynamicsDarrieus-Landau instabilityMichelson-Sivashinsky equationdownward propagationupward propagation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Thermodynamics and heat transfer (80Axx)

Cites Work

• Unnamed Item
• Flames as gasdynamic discontinuities
• 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
• Acceleration Effects on the Stability of Flame Propagation
• Instability of pole solutions for planar propagating flames in sufficiently large domains
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions
• Stability of Pole Solutions for Planar Propagating Flames: II. Properties of Eigenvalues/Eigenfunctions and Implications to Stability
• Nonlinear dynamics of premixed flames: from deterministic stages to stochastic influence
• Nonlinear evolution of hydrodynamically unstable premixed flames

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