Stationary wave of a chemical reaction in a deformable medium with finite relaxation time of the heat flux

A. G. Knyazeva, E. A. Dyukarev

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We propose a model for the propagation of the stationary front of a chemical reaction in a deformable medium taking into account thermal relaxation. In the model we consider possible deformations of the material due to thermal expansion and the difference between the properties of the reagent and the product and their effect on the temperature field. We show that relaxation of the heat flux and "coupling" of the temperature and strain fields are manifested through a change in the heat capacity, the effective thermal conductivity of the material, and the overall heat of the chemical reaction. In the model of a zero-order reaction, there are two velocities of the front: one of them is close to the velocity of the "thermal" self-excited wave, the other is higher than the velocity of sound and is connected with the effect of the deformation forces. Additional solutions appear in the model in the case of a first-order reaction when relaxation effects are present.

Original languageEnglish
Pages (from-to)304-312
Number of pages9
JournalCombustion, Explosion, and Shock Waves
Volume31
Issue number3
DOIs
Publication statusPublished - May 1995

Fingerprint

Relaxation time
Heat flux
heat flux
Chemical reactions
chemical reactions
relaxation time
temperature distribution
Acoustic wave velocity
Specific heat
Thermal expansion
reagents
thermal expansion
Thermal conductivity
Temperature distribution
thermal conductivity
specific heat
heat
propagation
acoustics
products

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering (miscellaneous)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Chemical Engineering(all)

Cite this

Stationary wave of a chemical reaction in a deformable medium with finite relaxation time of the heat flux. / Knyazeva, A. G.; Dyukarev, E. A.

In: Combustion, Explosion, and Shock Waves, Vol. 31, No. 3, 05.1995, p. 304-312.

Research output: Contribution to journalArticle

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