Culick, F. E. C. (1997) A Note on Ordering Perturbations and the Insignificance of Linear Coupling in Combustion Instabilities. Combustion Science and Technology, 126 (1). pp. 359-377. ISSN 0010-2202. http://resolver.caltech.edu/CaltechAUTHORS:20101118-150130234
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Formal analysis of combustion instabilities has been based on expansion of the equations of motion in two small parameters, March numbers characterizing the average and fluctuating flows. The procedure is reviewed and extended in this note explain how new terms involving nonlinear mean flow/acoustic interactions may be incorporated. As a further example of the ordering procedure, the reasoning is given to show why coupling of modes, linear in the average March number, cannot legitimately be retained when the equations have been expanded only to first order in Mach number.
|Additional Information:||© 1997 OPA (Overseas Publishers Association). Received 28 May 1996; In final form 25 March 1997. This work was partly sponsored by the California Institute of Technology and partly by the Caltech Multidisciplinary University Research Initiative under ONR Grant No. N00014-95-1-1338. Dr. Richard S. Miller of the Office of Naval Research is Program Manager. I am also indebted to reviewers whose suggestions I have taken to clarify several points in the paper and to Mr. G. Isella for checking the calculations.|
|Group:||Guggenheim Jet Propulsion Center|
|Subject Keywords:||Combustion instabilities; linear coupling|
|Other Numbering System:|
|Official Citation:||A Note on Ordering Perturbations and the Insignificance of Linear Coupling in Combustion Instabilities F. E. C. Culick Combustion Science and Technology, 1563-521X, Volume 126, Issue 1, 1997, Pages 359 – 377|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||19 Nov 2010 22:52|
|Last Modified:||26 Dec 2012 12:39|
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