Longitudinal acoustic instabilities in slender solid propellant rockets : linear analysis

García Schafer, Juan Esteban and Liñán Martínez, Amable (2001). Longitudinal acoustic instabilities in slender solid propellant rockets : linear analysis. "Journal of Fluid Mechanics", v. 437 ; pp. 229-254. ISSN 0022-1120.

Description

Title: Longitudinal acoustic instabilities in slender solid propellant rockets : linear analysis
Author/s:
  • García Schafer, Juan Esteban
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Journal of Fluid Mechanics
Date: 2001
Volume: 437
Subjects:
Freetext Keywords: Longitudinal wave; Rocket; Solid propellant; Combustion chamber; Axial symmetry; Pipe flow; Supersonic flow; Vorticity; Entropy; Convergent duct; Modeling; Perturbation method; Multiscale method; Acoustic field; Aeroacoustique; Instabilite; Onde longitudinale; Fusee; Propergol solide; Chambre combustion; Symetrie axiale; Ecoulement conduite; Ecoulement supersonique; Vorticite; Entropie; Conduite convergente; Modelisation; Methode perturbation; Methode echelle multiple; Champ acoustique; Aeroacustica; Inestabilidad; Onda longitudinal; Cohete; Propergol solido; Camara combustion; Simetria axial; Flujo conduccion; Flujo supersonico; Vorticidad; Entropia; Conducto convergente; Modelizacion; Metodo perturbacion; Metodo escala multiple; Campo acustico; Acoustics; Physics; Acoustique; Physique; Acustica; Fisica
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

To describe the acoustic instabilities in the combustion chambers of laterally burning solid propellant rockets the interaction of the mean flow with the acoustic waves is analysed, using multiple scale techniques, for realistic cases in which the combustion chamber is slender and the nozzle area is small compared with the cross-sectional area of the chamber. Associated with the longitudinal acoustic oscillations we find vorticity and entropy waves, with a wavelength typically small compared with the radius of the chamber, penetrating deeply into the chamber. We obtain a set of differential equations to calculate the radial and axial dependence of the amplitude of these waves. The boundary conditions are provided by the acoustic admittance of the propellant surface, given by an existing analysis of the thin gas-phase reaction layer adjacent to the solid-gas interface, and of the nozzle, accounting here for the possible effect of the vorticity and entropy waves. The equations are integrated in closed form and the results provide the growth rate of the disturbances, which we use to determine the conditions for instability of the longitudinal oscillations.

More information

Item ID: 860
DC Identifier: http://oa.upm.es/860/
OAI Identifier: oai:oa.upm.es:860
Official URL: http://journals.cambridge.org/action/displayJournal?jid=FLM
Deposited by: Archivo Digital UPM
Deposited on: 17 Feb 2008
Last Modified: 20 Apr 2016 06:34
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