The effect of heat loss on the propagation of strongly exothermic combustion waves

DOI10.1088/1364-7830/5/3/304zbMath1023.76054OpenAlexW2026917655MaRDI QIDQ2770997

G. N. Mercer, John Billingham

Publication date: 13 February 2002

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

Full work available at URL: https://doi.org/10.1088/1364-7830/5/3/304

zbMATH Keywords

method of matched asymptotic expansionstravelling wave solutionsheat lossmaximum heat transfer coefficientmaximum temperaturestrongly exothermic combustion waves

Mathematics Subject Classification ID

Related Items (6)

On the existence of premixed laminar flames ⋮ Evans function analysis of the stability of non-adiabatic flames ⋮ DETECTING BOGDANOV–TAKENS BIFURCATION OF TRAVELING WAVES IN REACTION–DIFFUSION SYSTEMS ⋮ Existence of Chapman-Jouguet detonation for a viscous combustion model ⋮ Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms ⋮ Weak and strong detonation profiles for a qualitative model.

Cites Work

• Combustion pseudo-waves in a system with reactant consumption and heat loss
• Two Routes to Chaos in Condensed Phase Combustion
• The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves
• The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial-value problem with an immobilized or nearly immobilized autocatalyst
• Propagation of a Pulsating Reaction Front in Solid Fuel Combustion
• An oscillatory route to extinction for solid fuel combustion waves due to heat losses
• Combustion waves for gases ( Le = 1) and solids ( Le →∞)
• Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms

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