Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-18T16:35:36.163Z Has data issue: false hasContentIssue false

Fluid dynamics of the resonance tube

Published online by Cambridge University Press:  29 March 2006

E. Brocher
Affiliation:
Institut de Mécanique des Fluides de l'Université d'Aix-Marseille, Marseille, France
C. Maresca
Affiliation:
Institut de Mécanique des Fluides de l'Université d'Aix-Marseille, Marseille, France
M.-H. Bournay
Affiliation:
Institut de Mécanique des Fluides de l'Université d'Aix-Marseille, Marseille, France

Abstract

Using a simplified wave-diagram and the gas-speed/sound-speed diagram, it is shown how the oscillations start and grow within a resonance tube. It is found that the oscillation amplitude tends to a limiting value which is obtained when the jet is fully swallowed by the tube during the phase of compression of the cycle. Experiments are carried out for jet Mach numbers from 0·1 up to 2. To achieve an adequate evacuation of the tube in the expansion phase, a thin cylindrical body must be used, which is laid along the axis of the jet to produce a wake and a correlative local deficiency of the kinetic energy of the jet. Measured amplitudes of pressure fluctuations are in good agreement with theoretical values.

Type
Research Article
Copyright
© 1970 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Brocher, E. & Maresca, C. 1969a C.R. Acad. Sci. Paris, 268, 749.
Brocher, E. & Maresca, C. 1969b J. Mécanique, 8, 21.
Brocher, E. & Maresca, C. & Husson, M. H. 1969 National conference on applied mechanics, Bucarest. (To be published in Revue Roumaine des Sciences Techniques, Série de Mécanique Appliquée.)Google Scholar
Dumitrescu, L. Z. 1967 Techniques and results of model pressure measurements in shock tubes, 6. International Shock Tube Symposium.Google Scholar
Hartmann, J. 1919 Dan. Mat. Fys. Medd. 1.
Hartmann, J. & Trudso, E. 1951 Dan. Mat. Fys. Medd. no. 10, 26.
Manning, J. R. 1968 Trans. ASME, Basic Engng. D 90, 231.
Oertel, H. 1966 Stossröhre. New York: Springer Verlag.
Savory, L. E. 1950 Engineering, 170, 99 and 136.
Sprenger, H. 1954 Mitteilungen aus dem Institut für Aerodynamik, no. 21, 18.
Thompson, P. A. 1964 A.I.A.A.J. 2, 123.
Vrebalovich, T. 1962 Jet Propulsion Laboratory Technical Report no. 32, 378.