Model for the Formation of Acoustic Self-Oscillations in a Chamber with a Jet Flowing Through its Nozzle
V. B. Kurzin
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: камера, струя, вихревая пелена, акустические колебания, обратная связь, неустойчивость, автоколебания, chamber, jet, vortex sheet, acoustic vibrations, feedback, instability, self-oscillation
Abstract
This paper describes free acoustic oscillations of gas in a chamber with a jet flowing through its nozzle in the case of nonstationary intensity component of vortex sheet flowing down from the edge of the nozzle. There is established feedback between acoustic oscillations and oscillations induced by a corresponding vortex sheet component. It is shown that, in the presence of given feedback, there could be instability of acoustic oscillations, which would result in acoustic self-vibrations in the chamber. The boundaries of the domain in which instability is formed are determined by developing a mathematical model of stable acoustic oscillations in the chamber with account for the influence of the vortex sheet.
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