An oscillatory route to extinction for solid fuel combustion waves due to heat losses

DOI10.1098/rspa.1998.0246zbMath0926.65087OpenAlexW2023483979MaRDI QIDQ4223991

R. O. Weber, G. N. Mercer, Harvinder S. Sidhu

Publication date: 27 April 1999

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1998.0246

zbMATH Keywords

numerical experimentsextinctionoscillationsreaction diffusion systemsparabolic type systemsolid combustion wavestime-adaptive predictor-corrector finite differences

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Combustion (80A25)

Related Items (12)

Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions ⋮ On the existence of premixed laminar flames ⋮ DETECTING BOGDANOV–TAKENS BIFURCATION OF TRAVELING WAVES IN REACTION–DIFFUSION SYSTEMS ⋮ An approximate model for the ignition of reactive materials by a hot spot with reactant depletion. ⋮ On the route to extinction in non-adiabatic flames from competitive exothermic reactions ⋮ The effects of heat exchange and fluid production on the ignition of a porous solid ⋮ Watershed initial conditions for propagating waves in a system with bistability: a weight-function approach ⋮ Period doubling and chaotic transient in a model of chain-branching combustion wave propagation ⋮ Propagation of combustion waves in the shell–core energetic materials with external heat losses ⋮ The effect of heat loss on the propagation of strongly exothermic combustion waves ⋮ Stability analysis of combustion waves for competitive exothermic reactions using Evans function ⋮ The existence of steady states to a combustion model with internal heating

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