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Bifurcations of Propellant Burning Rate at Oscillatory Pressure
Author(s) -
Novozhilov Boris V.
Publication year - 2006
Publication title -
propellants, explosives, pyrotechnics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.56
H-Index - 65
eISSN - 1521-4087
pISSN - 0721-3115
DOI - 10.1002/prep.200600029
Subject(s) - propellant , bifurcation , mechanics , period doubling bifurcation , thermodynamics , amplitude , combustion , chaotic , physics , mathematics , control theory (sociology) , chemistry , materials science , nonlinear system , computer science , quantum mechanics , control (management) , organic chemistry , artificial intelligence
A new phenomenon, the disparity between pressure and propellant burning rate frequencies, has revealed in numerical studies of propellant burning rate response to oscillatory pressure. As is clear from the linear approximation, under small pressure amplitudes, h , pressure and propellant burning rate oscillations occur with equal period T ( T ‐solution). In the paper, however, it is shown that at a certain critical value of the parameter h the system in hand undergoes a bifurcation so that the T ‐solution converts to oscillations with period 2 T (2 T ‐solution). When the bifurcation parameter h increases, the subsequent behavior of the system becomes complicated. It is obtained a sequence of period doubling to 4 T ‐solution and 8 T ‐solution. Beyond a certain value of the bifurcation parameter h an apparently fully chaotic solution is found. These effects undoubtedly should be taken into account in studies of oscillatory processes in combustion chambers.