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Published August 2000 | Published
Journal Article Open

Influence of Random Excitations on Acoustic Instabilities in Combustion Chambers

Abstract

Although flows in combustors contain considerable noise, arising from several kinds of sources, there is a sound basis for treating organized oscillations as distinct motions. That has been an essential assumption incorporated in virtually all treatments of combustion instabilities. However, certain characteristics of the organized or deterministic motions seem to have the nature of stochastic processes. For example, the amplitudes in limit cycles always exhibit a random character, and even the occurrence of instabilities seems occasionally to possess some statistical features. Analysis of nonlinear coherent motions in the presence of stochastic sources is, therefore, an important part of the theory. We report a few results for organized oscillations in the presence of noise. The most significant deficiency is that, because of the low level of current understanding, the stochastic sources of noise are modeled in ad hoc fashion and are not founded on a solid physical basis appropriate to combustion chambers.

Additional Information

This material is declared a work of the U.S. Government and is not subject to copyright protection in the United States. Received 23 December 1997; revision received 21 October 1999; accepted for publication 22 November 1999. This work was sponsored partly by the the U.S. Air Force and partly by the California Institute of Technology Multidisciplinary University Research Initiative under Office of Naval Research Grant N00014-95-1-1338 with Judah Goldwasser as Program Manager.

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