CaltechAUTHORS
  A Caltech Library Service

Triggering of Longitudinal Pressure Oscillations in Combustion Chambers. I: Nonlinear Gasdynamics

Yang, V. and Kim, S. I. and Culick, F. E. C. (1990) Triggering of Longitudinal Pressure Oscillations in Combustion Chambers. I: Nonlinear Gasdynamics. Combustion Science and Technology, 72 (4-6). pp. 183-214. ISSN 0010-2202. http://resolver.caltech.edu/CaltechAUTHORS:20101130-073713187

[img] PDF - Published Version
Restricted to Repository administrators only
See Usage Policy.

1073Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20101130-073713187

Abstract

Based on spatial and temporal averaging of the conservation equations, an approximate analysis provides a convenient vehicle for analyzing the nonlinear behavior of unsteady motions in combustion chambers. Recent work has been concerned with the conditions for existence and stability of limit cycles, and in particular their dependence on the order of nonlinear terms contained in the equations of motion. It seems to be generally true that if only nonlinear gasdynamic terms to second order are accounted for, a stable nontrivial limit cycle is unique. This implies that no initial disturbance will cause a linearly stable system to execute a limit cycle, a result contrary to prior experience with, for example, solid propellant rocket motors. In this paper, we study some conditions under which true nonlinear instabilities may be found, with special attention focused on the effect of nonlinear gasdynamics. Our results indicate that third-order terms in the acoustic motions do not lead to triggering to either a stable or an unstable limit cycle; they only modify the stability domain of the system. However, the interactions between mean flow and nonlinear acoustic waves may trigger a linearly stable system to an unstable limit cycle. The influence of nonlinear combustion response may have quite different consequences and will be discussed in Part II of this work.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1080/00102209008951647 DOIUNSPECIFIED
http://www.informaworld.com/10.1080/00102209008951647PublisherUNSPECIFIED
Additional Information:© 1990 Gordon and Breach Science Publishers, Inc. The authors are greatly indebted to Dr. H.S. Sun for his assistance in formulating the third-order nonlinear acoustic model. This work was supported partly by the Office of Naval Research, Grant No. 00014-84-K-0434, and partly by The Pennsylvania State University.
Group:Guggenheim Jet Propulsion Center
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)00014-84-K-0434
Pennsylvania State UniversityUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion CenterUNSPECIFIED
Record Number:CaltechAUTHORS:20101130-073713187
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101130-073713187
Official Citation:Triggering of Longitudinal Pressure Oscillations in Combustion Chambers. I: Nonlinear Gasdynamics V. Yang; S. I. Kim; F. E. C. Culick Combustion Science and Technology, 0010-2202, Volume 72, Issue 4, 1990, Pages 183 – 214 http://www.informaworld.com/10.1080/00102209008951647
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21049
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 Dec 2010 17:57
Last Modified:26 Dec 2012 12:41

Repository Staff Only: item control page