CaltechAUTHORS
  A Caltech Library Service

Remarks on the two-mode approximation to the nonlinear behavior of pressure oscillations in combustion chambers

Culick, F. E. C. and Paparizos, L. (1976) Remarks on the two-mode approximation to the nonlinear behavior of pressure oscillations in combustion chambers. . http://resolver.caltech.edu/CaltechAUTHORS:20110207-102353008

[img] PDF (Author Copy) - Submitted Version
See Usage Policy.

328Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20110207-102353008

Abstract

This paper summarizes recent work on the approximation to nonlinear pressure oscillations using two modes. A large part of the effort has been concerned with the consequences of gasdynamic nonlinearities of second order in the fluctuations. It appears that the two-mode approximation is valid over a broad range of the linear parameters that govern the global qualitative behavior, particularly if the lower mode is the unstable mode. Exact solutions have been found for the existence and stability of limit cycles, allowing meaningful comparison with numerical solutions obtained with larger numbers of modes considered. The nonlinear analysis to second order does not contain "triggering" - nonlinear instability of a linearly stable system - because the nonlinear processes order terms involving the mean flow speed, or DC shifts in the amplitudes of oscillation do produce triggering.


Item Type:Report or Paper (Working Paper)
Additional Information:© 1976. This work was supported by Caltech funds and by the Office of Naval Research, Contract N00014-84-K-0434. Approved for public release; distribution is unlimited.
Group:Guggenheim Jet Propulsion Center
Funders:
Funding AgencyGrant Number
CaltechUNSPECIFIED
Office of Naval Research (ONR)N00014-84-K-0434
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion Center UNSPECIFIED
Record Number:CaltechAUTHORS:20110207-102353008
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110207-102353008
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22050
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:08 Feb 2011 16:17
Last Modified:26 Dec 2012 12:54

Repository Staff Only: item control page