Matveev, Konstantin I. and Culick, F. E. C. (2003) A model for combustion instability involving vortex shedding. Combustion Science and Technology, 175 (6). pp. 1059-1083. ISSN 0010-2202. http://resolver.caltech.edu/CaltechAUTHORS:20101117-101453870
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Vigorous burning of vortices, formed behind flame stabilizers, can drive significant pressure oscillations inside premixed-type combustors. The goal of this work is to derive a reduced-order model for interaction among vortex shedding, chamber acoustics, and combustion process. A dump combustor is considered a general system configuration. Formation of vortices at the sudden expansion in a chamber is affected by the oscillatory flow. A new quasi-steady model is proposed for determining the moment of vortex separation. Vortex burning is assumed to be localized in space and time. A "kicked" oscillator model is utilized for deriving the appropriate dynamical system. The moment of burning and the corresponding vortex location are dependent on the chamber geometry, velocity field, and characteristic chemical and hydrodynamic times. If Rayleigh's criterion is satisfied, acoustic waves can develop in the chamber. Model and experimental results are compared for a chosen configuration. A study of model performance for a realistic system is carried out by variation of parameters where the mean flow velocity and the number of modes are treated as variables.
|Additional Information:||© 2003 Taylor & Francis Inc. Received 21 August 2002; accepted 20 January 2003.|
|Group:||Guggenheim Jet Propulsion Center|
|Subject Keywords:||Combustion Instabilities; Vortex Shedding; Dynamical Systems|
|Other Numbering System:|
|Official Citation:||A model for combustion instability involving vortex shedding Konstantin I. Matveev; F. E. C. Culick Pages 1059 – 1083|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||17 Nov 2010 19:21|
|Last Modified:||26 Dec 2012 12:39|
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