Abstract
A two-step combustion process, consisting of monopropellant (i.e. one-reactant) burning followed by bipropellant (i.e. two-reactant) burning, is considered. The original reactant, namely vapor from a liquid droplet, decomposes into a fuel that combines with oxidant in the surrounding atmosphere. Complete responses M( D 1, D 2) of the evaporation rate M of the droplet to the Damköhler numbers D 1, D 2 of the two reactions are determined in the limit of large activation energies. Conditions under which the response is monotonic or multi-valued (thereby exhibiting auto-ignition and auto-extinction) are identified. Previous conjectures, based on Damköhler-number asymptotics, are found to be mostly correct. Once more the efficacy of activation-energy asymptotics in dealing with the strongly nonlinear Arrhenius term of reactive fluid mechanics is demonstrated.
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