Combustion pseudo-waves in a system with reactant consumption and heat loss

DOI10.1016/0895-7177(96)00136-7zbMath0887.35154OpenAlexW2001697186MaRDI QIDQ1364978

R. O. Weber, G. N. Mercer, B. F. Gray, Simon D. Watt

Publication date: 28 August 1997

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(96)00136-7

zbMATH Keywords

numerical methodcenter manifold techniquesflame widthmodel for the combustion of a reactanttraveling pseudo-waves

Mathematics Subject Classification ID

Related Items (7)

Combustion waves in two dimensions and their one-dimensional approximation ⋮ Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions ⋮ An approximate model for the ignition of reactive materials by a hot spot with reactant depletion. ⋮ The effects of heat exchange and fluid production on the ignition of a porous solid ⋮ A wildland fire model with data assimilation ⋮ The effect of heat loss on the propagation of strongly exothermic combustion waves ⋮ The existence of steady states to a combustion model with internal heating

Cites Work

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• Applications of centre manifold theory
• Amplitude Equations for Systems with Competing Instabilities
• Travelling waves in exothermic systems
• Standing waves in exothermic systems
• Simple examples of the derivation of amplitude equations for systems of equations possessing bifurcations
• The minimum local temperature disturbance for ignition in a slab
• Reaction-Diffusion Model for Combustion with Fuel Consumption: I. Dirichlet Boundary Conditions
• Combustion wave speed
• Reaction waves and non-constant diffusivities

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