MODEL OF EVOLUTIONOF FINITE-AMPLITUDE PERTUBATIONS  IN A TWO-PHASE REACTIVE SYSTEM

Oleg Sharypov; Igor S.  Anufriev

doi:10.1615/HeatTransRes.v43.i2.20

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Home > Journals > Heat Transfer Research > Volume 43, 2012 Issue 2 > MODEL OF EVOLUTIONOF FINITE-AMPLITUDE PERTUBATIONS IN A TWO-PHASE REACTIVE SYSTEM

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ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v43.i2.20
pages 109-122

MODEL OF EVOLUTIONOF FINITE-AMPLITUDE PERTUBATIONS IN A TWO-PHASE REACTIVE SYSTEM

Oleg Sharypov
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia

Igor S. Anufriev
Kutateladze Institute of Thermophysics, Siberian Branch of Russian Academy of Sciences, 1 Lavrentyev Ave, Novosibirsk, 630090, Russia

ABSTRACT

The dynamics of weak finite-amplitude perturbations in a homogeneous gas suspension (reactive gas mixture and chemically inert solid particles) is considered. A weakly nonlinear model takes into account the chemical kinetics−gasdynamics interaction and dissipative properties. The influence of interphase heat and momentum exchange on the stability of the homogeneous state of a system is analyzed. For the model kinetics of the reaction, numerical solutions of the evolution equation are obtained in the form of steady self-oscillations. A sharp increase in the characteristic period of self-oscillations and instability suppression in gas suspension with small-size particles are described.

KEY WORDS: gas suspension, inter-phase heat and momentum transfer, chemical reaction, heat release, active-dissipative medium, instability, auto-oscillations, nonlinear evolution equation