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Published January 1988 | Published
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Third-Order Nonlinear Acoustic Instabilities in Combustion Chambers, Part II: Transverse Modes

Abstract

An analytical analysis has been developed to investigate the behavior of unsteady transverse pressure oscillations in combustion chambers. The model extends the previous analysis for the second-order standing wave motions and accommodates spinning oscillations and third-order nonlinearities. The influences of various parameters and initial conditions on the limit cycles and triggering of pressure oscillations are discussed. Results indicate that the existence of spinning oscillations depends strongly on the number of modes included in the analysis and on the initial conditions. The third-order acoustics has little influence on the triggering of instability. It only modifies the characteristics of limiting amplitudes.

Additional Information

© 1988, American Institute of Aeronautics and Astronautics. This work was supported partly by the ONR Grant No. 00014-84-K-0434, and partly by The Pennsylvania State University. The authors are greatly indebted to Dr. H. S. Sun for his assistance in formulating the model of the third-order nonlinear acoustic model.

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August 19, 2023
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January 13, 2024