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Nonlinear behavior of acoustic waves in combustion chambers. I, IIThe general problem of the nonlinear growth and limiting amplitude of acoustic waves in a combustion chamber is treated in three parts: (1) the general conservation equations are expanded in two small parameters, and then combined to yield a nonlinear inhomogeneous wave equation, (2) the unsteady pressure and velocity fields are expressed as a synthesis of the normal modes of the chamber, but with unknown time-varying amplitudes, and (3) the system of nonlinear equations is treated by the method of averaging to produce a set of coupled nonlinear first order differential equations for the amplitudes and phases of the modes. This approximate analysis is applied to the investigation of the unstable motions in a solid propellant rocket engine and in a T burner.
Document ID
19770032641
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Culick, F. E. C.
(California Institute of Technology Pasadena, Calif., United States)
Date Acquired
August 9, 2013
Publication Date
October 1, 1976
Publication Information
Publication: Acta Astronautica
Volume: 3
Subject Category
Spacecraft Propulsion And Power
Accession Number
77A15493
Funding Number(s)
CONTRACT_GRANT: NAS7-100
Distribution Limits
Public
Copyright
Other

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