Electronic Journal Technical Acoustics ISSN 1819-2408

K. I. Matveev, F. E. C. Culick

Limit-Cycle Properties of a Rijke Tube

language: English

received 24.05.2003, published 12.06.2003

Download article (PDF, 210 kb, ZIP), use browser command "Save Target As..."
To read this document you need Adobe Acrobat © Reader software, which is simple to use and available at no cost. Use version 4.0 or higher. You can download software from Adobe site (http://www.adobe.com/).

ABSTRACT

Thermoacoustic instability appears when unsteady heat release is favourably coupled with acoustic pressure perturbations. The important technical applications involving thermoacoustics are combustion instability in rocket motors and low-pollutant lean flames; noisy industrial burners; pulsed combustors; and thermoacoustic engines. The simplest device for studying thermoacoustic instability is a Rijke tube. In this work, a series of experiments is carried out to determine the nonlinear behavior of the transition to instability and the excited regimes for an electrically driven Rijke tube. A hysteresis effect in the stability boundary is observed. A mathematical theory involving heat transfer, acoustics, and thermoacoustic interactions is developed to predict the transition to instability and limit-cycle properties.

13 pages, 7 figures

Сitation: K. I. Matveev, F. E. C. Culick. Limit-Cycle Properties of a Rijke Tube. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2003, 12.

REFERENCES

1. J. W. S. Rayliegh. The Theory of Sound. New York: Dover Publications, 1945 re-issue.
2. P. L. Rijke. Notiz uber eine neie art, die luft in einer an beiden enden offenen Rohre in schwingungen zu versetzen. Annalen der Physik, 1859, vol. 107, pp. 339–343.
3. R. L. Raun, M. W. Beckstead, J. C. Finlinson, and K. P. Brooks. A review of Rijke tubes, Rijke burners and related devices. Progress in Energy and Combustion Science, 1993, vol. 19, pp. 313-364.
4. K. I. Matveev and F. E. C. Culick. Experimental and mathematical modeling of thermoacoustic instabilities in a Rijke tube. 40-th Aerospace Sciences Meeting and Exhibit, Reno, NV, USA, AIAA Paper 2002–1013, 2002.
5. K. I. Matveev and F. E. C. Culick. A study of the transition to instability in a Rijke tube with axial temperature gradient. Journal of Sound and Vibration, 2003, vol. 264, pp. 689-706.
6. H. J. Merk. Analysis of heat-driven oscillations of gas flows. Applied Scientific Research, 1956, A6, pp. 402–420.
7. Y.-P. Kwon and B.-H. Lee. Stability of the Rijke thermoacoustic oscillation. Journal of the Acoustical Society of America, 1985, vol. 78, pp. 1414–1420.
8. K. I. Matveev and F. E. C. Culick. Modeling of unstable regimes in a Rijke tube. 5-th International Symposium on Fluid-Structure Interactions, New Orleans, LA, USA, ASME Paper IMECE 2002-33369, 2002.
9. K. O. Lehmann. Uber die theory der netztone. Annalen der Physik, 1937, vol. 29, pp. 527–555.

		Konstantin I. Matveev - Ph.D. in Mechanical Engineering from California Institute of Technology in 2003. Dr. Matveev will continue his research career at Los Alamos National Laboratory. Research interests include thermal and nonlinear acoustics. e-mail: matveev(at)hydrofoils.org
		F. E. C. Culick - Richard L. and Dorothy M. Hayman Professor of Mechanical Engineering and Professor of Jet Propulsion at California Institute of Technology. Ph.D. from MIT in 1961. Research interests: nonlinear acoustics in combustion systems, active control of combustion instabilities, and advanced spacecraft propulsion.