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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2023, Number 86, Pages 104–119
DOI: https://doi.org/10.17223/19988621/86/8
(Mi vtgu1044)
 

MECHANICS

Model of non-stationary combustion of solid energetic materials with accumulation of condensed products on the burning surface

S. A. Rashkovskiyab

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russian Federation
b Tomsk State University, Tomsk, Russian Federation
References:
Abstract: The unsteady combustion of solid propellants with the formation of condensed products accumulating on the burning surface in the form of a skeleton layer is considered. The model of the process takes into account the thermal inertia of the skeleton layer and the variation in its mass when burning. It is shown that during the unsteady combustion of such propellants, the instantaneous composition of both gaseous and condensed products leaving the burning surface changes and becomes different from that during the stationary combustion; thus, it differs from the initial composition of the propellant. This new effect, which was not previously described in the literature, can lead to additional destabilization of the process in a solid propellant rocket motor combustion chamber and to the development of acoustic instability. Within the framework of the presented model of unsteady combustion, the component of the acoustic conductivity of the solid propellant burning zone associated with the new effect is determined.
Keywords: composite solid propellant, unsteady combustion, condensed combustion products, skeleton layer, agglomeration, inhomogeneity of combustion products, mathematical modeling.
Funding agency Grant number
Russian Science Foundation 21-19-00541
This work was financially supported by the Russian Science Foundation (project No. 21-19-00541).
Received: 21.10.2023
Accepted: December 4, 2023
Document Type: Article
UDC: 536.46
Language: Russian
Citation: S. A. Rashkovskiy, “Model of non-stationary combustion of solid energetic materials with accumulation of condensed products on the burning surface”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2023, no. 86, 104–119
Citation in format AMSBIB
\Bibitem{Ras23}
\by S.~A.~Rashkovskiy
\paper Model of non-stationary combustion of solid energetic materials with accumulation of condensed products on the burning surface
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2023
\issue 86
\pages 104--119
\mathnet{http://mi.mathnet.ru/vtgu1044}
\crossref{https://doi.org/10.17223/19988621/86/8}
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