The effect of ambient temperature on the propagation of nonadiabatic combustion waves

DOI10.1007/s10910-004-1447-7zbMath1073.35520OpenAlexW2165701406MaRDI QIDQ2485876

G. N. Mercer, Harvinder S. Sidhu, Vladimir V. Gubernov

Publication date: 5 August 2005

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-004-1447-7

zbMATH Keywords

linear stabilityEvans functionmatched asymptotic expansionheat lossambient temperaturecombustion waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Combustion (80A25)

Related Items (4)

Properties of nonadiabatic combustion waves in competitive exothermic reactions ⋮ The fast-time instability map of Liñán's diffusion-flame regime ⋮ Stability analysis of combustion waves for competitive exothermic reactions using Evans function ⋮ On the fast-time oscillatory instabilities of Liñán's diffusion-flame regime

Cites Work

• Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms
• Chaotic dynamics in solid fuel combustion
• Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow
• Evans function stability of non-adiabatic combustion waves
• Propagation of a Pulsating Flame Front in a Gaseous Combustible Mixture
• Two Routes to Chaos in Condensed Phase Combustion
• Propagation of a Pulsating Reaction Front in Solid Fuel Combustion
• A weight-function approach for determining watershed initial conditions for combustion waves
• A Sequence of Period Doublings and Chaotic Pulsations in a Free Boundary Problem Modeling Thermal Instabilities
• Combustion waves for gases ( Le = 1) and solids ( Le →∞)
• Evans Function Stability of Combustion Waves
• Interaction of Pulsating and Spinning Waves in Nonadiabatic Flame Propagation
• Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions
• Matched Asymptotic Expansions and the Closure Problem for Combustion Waves

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