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Nonlinear intrinsic instability of solid propellant combustion including gas-phase thermal inertia

Kumar, Anil KR and Lakshmisha, KN (2000) Nonlinear intrinsic instability of solid propellant combustion including gas-phase thermal inertia. In: 17th International Colloquium on the Dynamics of Explosions and Reactive Systems, JUL 25-30, 1999, HEIDELBERG.

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Abstract

The problem of homogeneous solid propellant combustion instability is studied with a one-dimensional flame model, including the effects of gas-phase thermal inertia and nonlinearity. Computational results presented in this paper show nonlinear instabilities inherent in the equations, due to which periodic burning is found even under steady ambient conditions such as pressure. The stability boundary is obtained in terms of Denison-Baum parameters. It is found that inclusion of gas-phase thermal inertia stabilizes the combustion. Also, the effect of a distributed heat release in the gas phase, compared to the flame sheet model, is to destabilize the burning. Direct calculations for finite amplitude pressure disturbances show that two distinct resonant modes exist, the first one near the natural frequency as obtained from intrinsic instability analysis and a second mode occurring at a much higher driving frequency. It is found that er rn in the low frequency region, the response of the propellant is significantly affected by the specific type of gas-phase chemical heat-release model employed. Examination of frequency response function reveals that the role of gas-phase thermal inertia is to stabilize the burning near the first resonant mode. Calculations made for different amplitudes of driving pressure show that the mean burning rate decreases with increasing amplitude. Also, with an increase in the driving amplitude, higher harmonics are generated in the burning rate.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to Taylor and Francis Group.
Keywords: Combustion instability;Solid propellants;Energetic materials
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 09 Aug 2010 10:40
Last Modified: 19 Sep 2010 06:13
URI: http://eprints.iisc.ernet.in/id/eprint/31139

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