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dc.contributor.authorBush, William B.
dc.contributor.authorKrishnamurthy, L.
dc.date.accessioned2017-06-13T13:56:35Z
dc.date.available2017-06-13T13:56:35Z
dc.date.issued1997
dc.identifier.citationBush, W. B., & Krishnamurthy, L. (1997). On the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate model. Mathematical Problems in Engineering, 3(4), 373-385.en_US
dc.identifier.urihttp://hdl.handle.net/11141/1515
dc.description.abstractThe 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 = 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 β-1/2, less than 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. 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.en_US
dc.language.isoen_USen_US
dc.rightsCreative Commons Attribution 3.0en_US
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/en_US
dc.titleOn the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate modelen_US
dc.typeArticleen_US


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