On the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate model

W. B. Bush and L. Krishnamurthy

Mathematical Problems in Engineering, 1997, vol. 3, 1-13

Abstract:

The structure of the quasi-isothermal deflagration is examined by means of an asymptotic analysis of the physical-plane boundary-value problem, with Lewis–Semenov number unity, in the limit of the activation-temperature ratio, β = T a / T b , greater than order unity, for the generalized reaction-rate-model case of: (1) the heat-addition-temperature ratio, α = ( T b − T u ) / T u , of order β − 1 / 2 , less than order unity [where T a , T b , and T u are the activation, adiabatic-flame (and/or burned-gas), and unburned-gas temperatures, respectively]; and (2) the exponent, a , which characterizes the pre-exponential thermal dependence of the reaction-rate term, unity. The examination indicates that, as in the order-unity heat-addition case, this deflagration has a four-region structure: the upstream diffusion-convection and downstream diffusion-reaction regions, and the far-upstream (or cold-boundary) and the far-downstream (or hot-boundary) regions.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:156759

DOI: 10.1155/S1024123X97000604

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