Abstract
The conditions and regimes of thermal ignition of a reactive porous layer are investigated under asymmetric conditions on its lateral surfaces and with an oxidizer supply to the layer by diffusion or filtration through the cold boundary. For a zero-order reaction, an analytical dependence of the critical value of the Frank-Kamenetskii parameter on the Zel’dovich parameter is obtained, which separates the regions of steady-state and unsteady regimes. A numerical analysis is made of the critical value of the Frank-Kamenetskii parameter on the Zel’dovich parameter, the Todes parameter, which determines the oxidizer consumption, and the parameter determining the oxidizer supply to the layer: the Lewis numbers or the filtration analog of the Peclet parameter.
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Translated from Fizika Goreniya i Vzryva, Vol. 44, No. 3, pp. 50–60, May–June, 2008.
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Burkina, R.S., Prokof’ev, V.G. Critical conditions of thermal explosion of a porous layer. Combust Explos Shock Waves 44, 291–299 (2008). https://doi.org/10.1007/s10573-008-0037-6
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DOI: https://doi.org/10.1007/s10573-008-0037-6