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Modeling and dynamics of nonlinear acoustic waves in a combustion chamber

Ananthkrishnan, N. and Deo, Shardul and Culick, Fred E. C. (2002) Modeling and dynamics of nonlinear acoustic waves in a combustion chamber. AIAA Papers, 2002-3592. American Institute of Aeronautics and Astronautics , Indianapolis, IN. http://resolver.caltech.edu/CaltechAUTHORS:20110204-114636697

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Abstract

Future combustors designed for better efficiency and lower pollutant emission are expected to operate closer to their stability boundary, thereby increasing the risk of encountering combustion instability. Onset of combustion instability leads to limit cycle oscillations in the acoustical fluctuations that can often reach amplitudes large enough to cause severe damage. Active control strategies are, therefore, being considered to prevent combustion instabilities, but their development requires nonlinear models that can faithfully capture the combustor system dynamics. A framework for the approximate analysis of the nonlinear acoustics in a combustion chamber exists, which includes all relevant linear contributions and also second order gasdynamic nonlinearities. Nonlinear combustion effects in the form of pressure and velocity coupling models have also been incorporated into the analysis with the aim of capturing the phenomenon of triggered instability, where the acoustical fluctuations are linearly stable to small perturbations, but show a limit cycle behavior for larger perturbations. However, several questions such as those relating to 1) modal truncation of the equations for the acoustic dynamics, 2) absence of triggered limit cycles in the formulation with only second order gasdynamic nonlinearities, and 3) the form of the velocity coupling function, including the need for a threshold character, have not been satisfactorily resolved. In this paper, we address some of these questions on modeling and dynamics of acoustic waves in combustion chambers, using the approximate analysis, that have remained unanswered over the years.


Item Type:Report or Paper (Report)
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http://pdf.aiaa.org/preview/CDReadyMJPC2002_595/PV2002_3592.pdfPublisherUNSPECIFIED
Additional Information:© 2002 AIAA. This work was supported in part by the California Institute of Technology; partly by the Caltech Multidisciplinary University Research Initiative under Grant No. N00014-95-1-1338 (Dr. Judah Goldwasser, Program Manager); partly by the Department of Energy Advanced Gas Turbine Systems Research (AGTSR) Program under Subcontract No. 98-02-SR072 (Dr. Larry Golan, Program Manager); and partly by the Air Force Office of Scientific Research (AFOSR) under Grant No. F49620-99-1-0118 (Dr. Mitat Birkan, Program Manager).
Funders:
Funding AgencyGrant Number
Caltech Multidisciplinary University Research InitiativeN00014-95-1-1338
Department of Energy Advanced Gas Turbine (AGTSR)98-02-SR072
Air Force Office of Scientific Research (AFOSR)No. F49620-99-1-0118
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Guggenheim Jet Propulsion Center UNSPECIFIED
AIAA Paper2002-3592
Record Number:CaltechAUTHORS:20110204-114636697
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110204-114636697
Official Citation:Modeling and Dynamics of Nonlinear Acoustic Waves in a Combustion Chamber N. Ananthkrishnan Indian Institute of Technology, Powai, Bombay, INDIA; Shardul Deo Indian Institute of Technology, Powai, Bombay, INDIA; Fred Culick California Institute of Technology, Pasadena, CA, UNITED STATES AIAA-2002-3592 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Indianapolis, Indiana, July 7-10, 2002
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22021
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:14 Jul 2011 15:10
Last Modified:25 Mar 2014 04:27

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