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dc.contributor.authorBush, William B.
dc.contributor.authorKrishnamurthy, L.
dc.identifier.citationBush, W. B., & Krishnamurthy, L. (1996). On the structure of the deflagration for the generalized reaction-rate model. Mathematical Problems in Engineering, 2(5), 435-447. doi:10.1155/S1024123X96000427en_US
dc.description.abstractThe structure of the 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 = Ta/Tb, greater than order unity, for the generalized reaction-rate-model case of (1) the heat- addition-temperature ratio, α = (Tb — Tu)/Tu, of order unity [where Ta, Tb, and Tu 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. This examination indicates that the deflagration has a four-region structure. To obtain a uniformly valid solution of the problem, in addition to the (classical) upstream diffusion-convection and downstream diffusion-reaction regions, a far-upstream (or cold-boundary) region and a far-downstream (or hot-boundary) region must be introduced.en_US
dc.rightsCreative Commons Attribution 3.0en_US
dc.titleOn the Structure of the Deflagration for the Generalized Reaction-Rate Modelen_US

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