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Combustion Instabilities and Rayleigh's Criterion

Culick, F. E. C. (1991) Combustion Instabilities and Rayleigh's Criterion. In: Modern Research Topics in Aerospace Propulsion: in honor of Corrado Casci. Springer-Verlag , New York, pp. 135-151. ISBN 0-387-97417-2.

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In 1878, Lord Rayleigh formulated his criterion to explain several examples of acoustic waves excited and maintained by heat addition. It is a qualitative explanation successfully capturing the essence of the phenomena but not providing a basis for quantitative predictions. The widespread appeal of Rayleigh's criterion merits placing this important result on a more rigorous basis. To do so requires careful formulation grounded in the theory of small amplitude motions in a compressible fluid. In this chapter, we review the construction of an approximate analysis and establish the equivalence of Rayleigh's criterion and the condition for linear stability of small amplitude motions. Thus Rayleigh's criterion is formulated explicitly in the context of an analysis applicable to any combustion chamber. Some results are discussed for both linear and nonlinear motions. Recent experimental results discussed by others suggest that the criterion may offer a practical means for investigating the causes of instabilities in propulsion systems.

Item Type:Book Section
Additional Information:© 1991 Springer-Verlag.
Group:Guggenheim Jet Propulsion Center, GALCIT
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Record Number:CaltechAUTHORS:20110127-073132186
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21902
Deposited By: Ruth Sustaita
Deposited On:02 Feb 2011 19:11
Last Modified:03 Oct 2019 02:31

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