Model for the Formation of Acoustic Self-Oscillations in a Chamber with a Jet Flowing Through its Nozzle
- 8 Downloads
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-oscillations 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.
Keywordschamber jet vortex sheet acoustic oscillations feedback instability self-oscillation
Unable to display preview. Download preview PDF.
- 1.V. F. Akhmadeev and S. B. Sukhinin, “Strouhal Frequencies in a Combustion Chamber of a Solid-Propellant Rocket Engine,” in Dynamics of Continuous Media, No. 117 (Lavrentyev Inst. of Hydrodynamics, Sib. Branch, Russian Acad. of Sci., 2001).Google Scholar
- 2.R. K. Karavas and A. G. Prozorov, “Fundamentally Single-Type Source of Resonance Excitation in a Wind Tunnel and Hydroturbine Channel of a Hydroelectric Power Plant,” Inzh.-Fiz. Zh. 85 (1), 79–83 (2012).Google Scholar
- 4.V. B. Kurzin, “Model of Instability of Acoustic Oscillations in a Chamber with a Jet Flowing Through Its Nozzle,” Dokl. Akad. Nauk 435 (2), 195–198 (2010).Google Scholar
- 7.A. A. Kharkevich, Self-Oscillations (Gostekhteoretizdat, Moscow, 1953) [in Russian].Google Scholar
- 8.A. I. Nekrasov, Theory of Wings in Nonstationary Flow (Izd. Akad. Nauk SSSR, Moscow–Leningrad, 1947; Nat. Advisory Commit. for Aeronautics, Washington, 1947).Google Scholar
- 9.D. N. Gorelov, V. B. Kurzin, and V. E. Saren, Grid Aerodynamics in Nonstationary Flow (Nauka, Novosibirsk, 1971) [in Russian].Google Scholar
- 10.P. M. Morse, Vibration and Sound (McGraw-Hill, New York, 1948).Google Scholar