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2003, 12

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

Limit-Cycle Properties of a Rijke Tube

language: English

received 24.05.2003, published 12.06.2003

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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”,, 2003, 12.


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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)


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.