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On the Existence and Stability of Limit Cycles for Transverse Acoustic Oscillations in a Cylindrical Combustion Chamber. 1: Standing Modes

Yang, Vigor and Culick, Fred E. C. (1990) On the Existence and Stability of Limit Cycles for Transverse Acoustic Oscillations in a Cylindrical Combustion Chamber. 1: Standing Modes. Combustion Science and Technology, 72 (1-3). pp. 37-65. ISSN 0010-2202. http://resolver.caltech.edu/CaltechAUTHORS:20101129-110317027

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Abstract

Nonlinear pressure oscillations in combustion chambers have been studied using an approximate analysis which treats the unsteady motions as a collection of coupled nonlinear oscillators, each corresponding to an acoustic mode of the chamber. Based on spatial and temporal averaging of the conservation equations, the formulation provides a convenient means for analyzing the nonlinear behavior of acoustic wave motions. The work addresses the linear and nonlinear characteristics of transverse acoustic waves in a cylindrical chamber, with attention focused on the conditions for the existence and stability of limit cycles. As a result of the special structure of the equations, both general and precise conclusions can be reached. Explicit results are given for the special cases of two and three standing modes. Spinning wave motions will be treated in a subsequent paper.


Item Type:Article
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URLURL TypeDescription
http://dx.doi.org/10.1080/00102209008951639 DOIUNSPECIFIED
http://www.informaworld.com/10.1080/00102209008951639PublisherUNSPECIFIED
Additional Information:© 1990 Gordon and Breach Science Publishers S.A. Received June 9, 1989; in final form February 5, 1990. This work was supported partly by the Department of the Navy, ONR Contract N0014-84-K-0434, and partly by The Pennsylvania State University. The authors are greatly indebted to Dr. S. I. Kim and Mr. W. T. Lee for carrying out the numerical calculations.
Group:Guggenheim Jet Propulsion Center
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Funding AgencyGrant Number
Department of the NavyN0014-84-K-0434
Pennsylvania State UniversityUNSPECIFIED
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Guggenheim Jet Propulsion CenterUNSPECIFIED
Record Number:CaltechAUTHORS:20101129-110317027
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101129-110317027
Official Citation: On the Existence and Stability of Limit Cycles for Transverse Acoustic Oscillations in a Cylindrical Combustion Chamber. 1: Standing Modes Vigor Yang; Fred E. C. Culick Combustion Science and Technology, 1563-521X, Volume 72, Issue 1, 1990, Pages 37–65 http://www.informaworld.com/10.1080/00102209008951639
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21037
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:03 Dec 2010 16:21
Last Modified:26 Dec 2012 12:41

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