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This article is cited in 2 scientific papers (total in 2 papers)
Model for the propagation of a stationary reaction front in a viscoelastic medium
A. G. Knyazeva, E. A. Dyukarev Tomsk State University, 634050, Tomsk
Abstract:
A coupled thermomechanical model for the propagation of a stationary chemical-reaction wave in a condensed medium is developed. Stresses and strains that arise during the reaction as a result of thermal and “concentration” expansion of the material are related by Maxwell’s equations for a viscoelastic medium. The expression for the heat flux is written as a generalized Fourier law with finite relaxation time for the heat flux. It is shown that deformation of the material in the reaction zone can lead to an apparent change in the activation energy, heat effect, and other characteristics of the system. This model allows for the existence of two different – subsonic and supersonic – regimes of propagation of the front, as well as the model in which the stress- and strain-tensor components are related by a generalized Hooke’s law.
Received: 06.02.1996 Accepted: 24.02.1999
Citation:
A. G. Knyazeva, E. A. Dyukarev, “Model for the propagation of a stationary reaction front in a viscoelastic medium”, Fizika Goreniya i Vzryva, 36:4 (2000), 41–52; Combustion, Explosion and Shock Waves, 36:4 (2000), 452–461
Linking options:
https://www.mathnet.ru/eng/fgv2217 https://www.mathnet.ru/eng/fgv/v36/i4/p41
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