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Fizika Goreniya i Vzryva, 2021 Volume 57, Issue 4, Pages 38–47 (Mi fgv775)

Mode stability of a cylindrical flame front in an annular combustion chamber in the presence of entropy waves

A. V. Trilis

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia

Abstract: The initial (linear) stage of the development of rotating transverse detonation waves in a flat-radial annular combustion chamber is determined and simulated. The problem of linear mode stability of the cylindrical front of Chapman–Jouguet deflagration combustion in a radially diverging subsonic flow with a small Mach number in the presence of perturbation waves of the flow entropy is solved. The steady flame front is described by discontinuity of the gas-dynamic parameters provided that the combustion products are in chemical equilibrium. It is revealed that the flame front is unstable for some types of small perturbations of the main flow of the combustible mixture and the flame front. Instability is determined under the condition of a constant flow rate in the mixture injection system. The spatial forms of oscillations and perturbation waves of the combustion front in the annular combustion chamber are obtained by numerical and analytical methods.

Keywords: continuous spin detonation, normal flame velocity, deflagration combustion, combustion front stability, quasi-eigenfrequencies, entropy waves.

UDC: 536.46+662.612+534.2

Received: 22.05.2020
Revised: 19.06.2020
Accepted: 22.07.2020

DOI: 10.15372/FGV20210404


 English version:
Combustion, Explosion and Shock Waves, 2021, 57:4, 415–423

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© Steklov Math. Inst. of RAS, 2026