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Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics. (English) Zbl 1152.80003

Summary: The accuracy of using step-function approximations to the Arrhenius exponential in computing the wavespeed in combustion wave propagation is investigated. Gaseous and gasless combustion, and first- and second-order reactions are included in the study. The theoretical analysis is based on Melnikov theory from dynamical systems. The error is shown to be small in most instances. The analytical results are supported with numerical simulations.

MSC:

80A25 Combustion
80A32 Chemically reacting flows
80A30 Chemical kinetics in thermodynamics and heat transfer
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References:

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