Jahnke, Craig C. and Culick, F. E. C. (1994) Nonlinear Energy Transport Between Longitudinal Acoustic Modes in Cylindrical Combustion Chambers. AIAA Papers, 94-3190. American Institute of Aeronautics and Astronautics . http://resolver.caltech.edu/CaltechAUTHORS:20101123-135307146
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The second order nonlinear longitudinal acoustics in a cylindrical combustion chamber are studied for the case of an unstable second mode. A modal analysis is undertaken and a continuation method is used to determine the limit cycle behavior of the time dependent amplitudes of the acoustic modes as functions of the linear stability of the unstable acoustic mode. It is shown that if an insufficient number of modes are included in the truncated system, bifurcations of the primary limit cycle occur. The energy in the limit cycles is analyzed and the bifurcations are shown to occur as a means of increasing the amount of energy transfer out of the unstable acoustic mode and into the stable acoustic modes through the nonlinear terms.
|Item Type:||Report or Paper (Report)|
|Additional Information:||© 1994 American Institute of Aeronautics and Astronautics, Inc.|
|Group:||Guggenheim Jet Propulsion Center|
|Other Numbering System:|
|Official Citation:||Nonlinear energy transport between longitudinal acoustic modes in cylindrical combustion chambers Jahnke, Craig C., Clarkson Univ., Potsdam, NY; Culick, F. E. C., California Inst. of Technology, Pasadena, CA AIAA-1994-3190 ASME, SAE, and ASEE, Joint Propulsion Conference and Exhibit, Indianapolis, IN, June 27-29, 1994|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||24 Nov 2010 19:07|
|Last Modified:||26 Dec 2012 12:41|
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