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This article is cited in 2 scientific papers (total in 2 papers)
Critical conditions of thermal explosion of a porous layer
R. S. Burkina, V. G. Prokof'ev Tomsk State University, Tomsk, 634050
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.
Keywords:
porous medium, natural filtration, critical conditions, thermal explosion, analytical and numerical solutions.
Received: 28.06.2007
Citation:
R. S. Burkina, V. G. Prokof'ev, “Critical conditions of thermal explosion of a porous layer”, Fizika Goreniya i Vzryva, 44:3 (2008), 50–60; Combustion, Explosion and Shock Waves, 44:3 (2008), 291–299
Linking options:
https://www.mathnet.ru/eng/fgv1398 https://www.mathnet.ru/eng/fgv/v44/i3/p50
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