W. B. Bush, L. Krishnamurthy, "On the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate model", Mathematical Problems in Engineering, vol. 3, Article ID 156759, 13 pages, 1997. https://doi.org/10.1155/S1024123X97000604
On the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate model
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, , greater than order unity, for the generalized reaction-rate-model case of: (1) the heat-addition-temperature ratio, , of order , less than order unity [where , , and are the activation, adiabatic-flame (and/or burned-gas), and unburned-gas temperatures, respectively]; and (2) the exponent, , 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.
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