Steady regimes of conversion in a viscoelastic medium

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The problem of propagation of a steady conversion front in a viscoelastic medium is solved by the method of matched asymptotic expansions in the approximation of low strains. The heat flux is assumed to satisfy the Fourier law, and the components of the stress and strain tensors are related by the Maxwell relations including the shear coefficient of viscosity. The temperature of the products and the velocity of propagation of the steady reaction front are found. The solution of the problem is obtained for the limiting cases of the small and large times of relaxation of viscous stresses. It is demonstrated that the model contains different regimes of reaction-front propagation, like the coupled models of solid-phase combustion for a thermoelastic body, and viscous stresses insert additional features.

Original languageEnglish
Pages (from-to)549-558
Number of pages10
JournalCombustion, Explosion and Shock Waves
Volume42
Issue number5
DOIs
Publication statusPublished - 1 Sep 2006

Fingerprint

propagation
Fourier law
stress tensors
inserts
Tensors
solid phases
Heat flux
heat flux
tensors
Viscosity
viscosity
shear
expansion
coefficients
products
approximation
Temperature
temperature

Keywords

  • Asymptotic analysis
  • Coupled model
  • Steady combustion regimes
  • Thermal stresses
  • Viscoelastic medium

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physics and Astronomy(all)

Cite this

Steady regimes of conversion in a viscoelastic medium. / Knyazeva, A. G.; Sorokova, S. N.

In: Combustion, Explosion and Shock Waves, Vol. 42, No. 5, 01.09.2006, p. 549-558.

Research output: Contribution to journalArticle

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