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Nonlinear Analysis and Modeling of Combustion Instabilities in a Laboratory Combustor

Sterling, James D. (1993) Nonlinear Analysis and Modeling of Combustion Instabilities in a Laboratory Combustor. Combustion Science and Technology, 89 (1-4). pp. 167-179. ISSN 0010-2202. doi:10.1080/00102209308924107.

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The spectra of pressure oscillations in combustion chambers often contain large peaks at frequencies corresponding to chamber acoustic modes. Pulsed combustors are designed to operate with fixed amplitude oscillations but in many systems the oscillations have undesirable consequences. An understanding of the nonlinear mechanisms responsible for the limiting-amplitude behavior is therefore desired. This paper is divided into two parts. First, characterization of the oscillations in terms of attractors in mathematical phase space has been performed on pressure signals measured in a laboratory combustor of premixed gases. The results for one set of operating conditions show a quasiperiodic attractor of dimension two over an order of magnitude of scales. Next, the nonlinear combustion response to oscillations of a single acoustic mode are used to model autonomous or 'self-excited' behavior. Two simple models of nonlinear combustion processes observed in the laboratory combustor result in unstable oscillations that reach limiting-amplitudes. With the variation of model parameters, the periodic limit cycles undergo subharmonic bifurcations and transition to chaos.

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Additional Information:© 1993 Gordon and Breach Science Publishers S.A. Received February 12, 1991; in final form March 6, 1992. I would like to thank Professors Fred Culick and Edward Zukoski at the Caltech Jet Propulsion Center for many helpful discussions concerning this work. The research was supported by the Air Force Office of Scientific Research under the technical management of Dr. J. Tishkoff. The current address of the author is Center for Nonlinear Studies, MS B258, Los Alamos National Laboratory, Los Alamos, NM 87545
Group:Guggenheim Jet Propulsion Center
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Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Subject Keywords:nonlinear dynamics, combustion instabilities, pulsed combustion
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Guggenheim Jet Propulsion CenterUNSPECIFIED
Issue or Number:1-4
Record Number:CaltechAUTHORS:20101122-111659876
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Official Citation:Sterling, J. D. (1993). "Nonlinear Analysis and Modelling of Combustion Instabilities in a Laboratory Combustor." Combustion Science and Technology 89(1): 167 - 179.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20941
Deposited By: Ruth Sustaita
Deposited On:06 Dec 2010 23:57
Last Modified:09 Nov 2021 00:04

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