Model for propagation of a transformation front in a viscoelastic medium

Abstract

A thermomechanical model is developed for propagation of steady wave of a chemical reaction in a condensed medium. The stresses and deformations arising in the reaction run, as a result of thermal and 'concentrational' matter expanding, are related by the Maxwell formulas for a viscoelastic medium. The expression for heat flow is taken in the form of the generalized Fourier law with finite relaxation time of the heat flow. It is found that the model admits the existence of two different front propagation regimes (subsonic and supersonic).

Original language	English
Pages (from-to)	41-51
Number of pages	11
Journal	Fizika Goreniya i Vzryva
Volume	36
Issue number	4
Publication status	Published - 2000

ASJC Scopus subject areas

Process Chemistry and Technology
Mechanical Engineering

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title = "Model for propagation of a transformation front in a viscoelastic medium",

abstract = "A thermomechanical model is developed for propagation of steady wave of a chemical reaction in a condensed medium. The stresses and deformations arising in the reaction run, as a result of thermal and 'concentrational' matter expanding, are related by the Maxwell formulas for a viscoelastic medium. The expression for heat flow is taken in the form of the generalized Fourier law with finite relaxation time of the heat flow. It is found that the model admits the existence of two different front propagation regimes (subsonic and supersonic).",

author = "Knyazeva, {A. G.} and Dyukarev, {E. A.}",

year = "2000",

language = "English",

volume = "36",

pages = "41--51",

journal = "Fizika Goreniya i Vzryva",

issn = "0430-6228",

publisher = "Izdatel'stvo Sibirskogo Otdeleniya Rossiiskoi Akademii Nauk/Publishing House of the Russian Academy of Sciences",

number = "4",

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TY - JOUR

T1 - Model for propagation of a transformation front in a viscoelastic medium

AU - Knyazeva, A. G.

AU - Dyukarev, E. A.

PY - 2000

Y1 - 2000

N2 - A thermomechanical model is developed for propagation of steady wave of a chemical reaction in a condensed medium. The stresses and deformations arising in the reaction run, as a result of thermal and 'concentrational' matter expanding, are related by the Maxwell formulas for a viscoelastic medium. The expression for heat flow is taken in the form of the generalized Fourier law with finite relaxation time of the heat flow. It is found that the model admits the existence of two different front propagation regimes (subsonic and supersonic).

AB - A thermomechanical model is developed for propagation of steady wave of a chemical reaction in a condensed medium. The stresses and deformations arising in the reaction run, as a result of thermal and 'concentrational' matter expanding, are related by the Maxwell formulas for a viscoelastic medium. The expression for heat flow is taken in the form of the generalized Fourier law with finite relaxation time of the heat flow. It is found that the model admits the existence of two different front propagation regimes (subsonic and supersonic).

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