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This article is cited in 1 scientific paper (total in 1 paper)
Effect of the phase transition on the ignition process
S. I. Khudyaev Syktyvkar Department of Mathematics, Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Syktyvkar, 167000
Abstract:
A direct relation in the form of a first-order differential equation is obtained between the phase-transformation depth (phase-boundary position) and the Frank-Kamenetskii parameter characterizing the intensity of chemical heat release. As a particular case, this equation yields a solution of the problem obtained previously for cylindrical and plane-parallel reactors. The presence of a stable intermediate position of the interphase boundary is generalized to symmetric regions of an arbitrary (even fractional) dimension, which appears to have some physical meaning.
Keywords:
ignition, phase boundary, complete phase transformation, Stefan problem, stability.
Received: 29.11.2002
Citation:
S. I. Khudyaev, “Effect of the phase transition on the ignition process”, Fizika Goreniya i Vzryva, 39:6 (2003), 38–44; Combustion, Explosion and Shock Waves, 39:6 (2003), 644–649
Linking options:
https://www.mathnet.ru/eng/fgv1919 https://www.mathnet.ru/eng/fgv/v39/i6/p38
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