Stability of the combustion wave in a viscoelastic medium to small one-dimensional perturbations

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3 Citations (Scopus)

Abstract

The problem of stability of the conversion front in a viscoelastic medium is formulated. The stability study is performed by the method of small perturbations. Nonlinear equations are derived for decrements of decay and complex frequency. Several particular cases are analyzed. A significant effect of the time of relaxation of viscous stresses on the flammability limits for both high-velocity and low-velocity regimes is demonstrated.

Original languageEnglish
Pages (from-to)411-420
Number of pages10
JournalCombustion, Explosion and Shock Waves
Volume42
Issue number4
DOIs
Publication statusPublished - 1 Jul 2006

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flame propagation
perturbation
flammability
Flammability
Nonlinear equations
low speed
nonlinear equations
decay

Keywords

  • Combustion wave
  • Method of small perturbations
  • Stability
  • Time of relaxation of viscous stresses

ASJC Scopus subject areas

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

Cite this

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abstract = "The problem of stability of the conversion front in a viscoelastic medium is formulated. The stability study is performed by the method of small perturbations. Nonlinear equations are derived for decrements of decay and complex frequency. Several particular cases are analyzed. A significant effect of the time of relaxation of viscous stresses on the flammability limits for both high-velocity and low-velocity regimes is demonstrated.",
keywords = "Combustion wave, Method of small perturbations, Stability, Time of relaxation of viscous stresses",
author = "Knyazeva, {A. G.} and Sorokova, {S. N.}",
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journal = "Combustion, Explosion and Shock Waves",
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T1 - Stability of the combustion wave in a viscoelastic medium to small one-dimensional perturbations

AU - Knyazeva, A. G.

AU - Sorokova, S. N.

PY - 2006/7/1

Y1 - 2006/7/1

N2 - The problem of stability of the conversion front in a viscoelastic medium is formulated. The stability study is performed by the method of small perturbations. Nonlinear equations are derived for decrements of decay and complex frequency. Several particular cases are analyzed. A significant effect of the time of relaxation of viscous stresses on the flammability limits for both high-velocity and low-velocity regimes is demonstrated.

AB - The problem of stability of the conversion front in a viscoelastic medium is formulated. The stability study is performed by the method of small perturbations. Nonlinear equations are derived for decrements of decay and complex frequency. Several particular cases are analyzed. A significant effect of the time of relaxation of viscous stresses on the flammability limits for both high-velocity and low-velocity regimes is demonstrated.

KW - Combustion wave

KW - Method of small perturbations

KW - Stability

KW - Time of relaxation of viscous stresses

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U2 - 10.1007/s10573-006-0070-2

DO - 10.1007/s10573-006-0070-2

M3 - Article

VL - 42

SP - 411

EP - 420

JO - Combustion, Explosion and Shock Waves

JF - Combustion, Explosion and Shock Waves

SN - 0010-5082

IS - 4

ER -