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Oscillations of a gas in a closed tube near half the fundamental frequency

Published online by Cambridge University Press:  21 April 2006

R. Althaus  and
H. Thomann
R. Althaus
Affiliation:
Institut für Aerodynamik, Swiss Federal Institute of Technology, CH-8092, Zürich, Switzerland Present address: Brown, Boveri & Cie, AG, CH-5400 Baden, Switzerland.
H. Thomann
Affiliation:
Institut für Aerodynamik, Swiss Federal Institute of Technology, CH-8092, Zürich, Switzerland
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Abstract

The oscillations are driven by the sinusoidal motion of a piston at one end of the tube. Near half the fundamental frequency the first overtone, driven by nonlinear effects, becomes resonant. For small boundary-layer friction the amplitude of this resonant part is comparable with the non-resonant acoustic solution and shocks are formed. Theoretical results are compared with pressure signals measured at the closed end of the tube. The viscous effects are large for air at atmospheric pressure and the nonlinear effects remain small. Experiments with xenon, sulphurhexafluoride (SF6) and Freon RC-318 (C4F8) were therefore conducted and shocks formed as predicted. The comparison of the nonlinear theory by Keller (1975) with the experiments shows very good agreement.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 183 , October 1987 , pp. 147 - 161
Copyright
© 1987 Cambridge University Press

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