CaltechAUTHORS
Published 1997 | Version public
Journal Article Metadata-only

A Note on Ordering Perturbations and the Insignificance of Linear Coupling in Combustion Instabilities

Creators

Abstract

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.

Additional details

Identifiers

Eprint ID
20907
Resolver ID
CaltechAUTHORS:20101118-150130234

Funding

California Institute of Technology
Caltech Multidisciplinary University Research Initiative
N00014-95-1-1338

Dates

Created
2010-11-19
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Guggenheim Jet Propulsion Center, GALCIT
Other Numbering System Name
Guggenheim Jet Propulsion Center
Other Numbering System Identifier
383