NDLI: Nonlinear behavior of acoustic waves in combustion chambers

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Nonlinear behavior of acoustic waves in combustion chambers

Content Provider	NASA Technical Reports Server (NTRS)
Author	Culick, F. E. C.
Copyright Year	1975
Description	The nonlinear growth and limiting amplitude of acoustic waves in a combustion chamber are considered. A formal framework is provided within which practical problems can be treated with a minimum of effort and expense. The general conservation equations were expanded in two small parameters, one characterizing the mean flow field and one measuring the amplitude of oscillations, and then combined to yield a nonlinear inhomogeneous wave equation. The unsteady pressure and velocity fields were expressed as syntheses of the normal modes of the chamber, but with unknown time-varying amplitudes. This procedure yielded a representation of a general unsteady field as a system of coupled nonlinear oscillators. The system of nonlinear equations was 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. The analysis is applicable to any combustion chamber. The most interesting applications are probably to solid rockets, liquid rockets, or thrust augmentors on jet engines.
File Size	3671066
Page Count	133
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19770007255
Archival Resource Key	ark:/13960/t5p892f06
Language	English
Publisher Date	1975-04-01
Access Restriction	Open
Subject Keyword	Spacecraft Propulsion And Power Nonlinear Equations Sound Waves Flow Distribution Solid Propellant Rocket Engines Nonlinearity Amplitude Modulation Velocity Distribution Combustion Chambers Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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