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Shock propagation through a bubbly liquid in a deformable tube

Published online by Cambridge University Press:  15 February 2011

KEITA ANDO ,
T. SANADA ,
K. INABA ,
J. S. DAMAZO ,
J. E. SHEPHERD ,
T. COLONIUS  and
C. E. BRENNEN
KEITA ANDO*
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
T. SANADA
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
K. INABA
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
J. S. DAMAZO
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
J. E. SHEPHERD
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
T. COLONIUS
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
C. E. BRENNEN
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
*
†Present address: School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798. Email address for correspondence: [email protected]
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Abstract

Shock propagation through a bubbly liquid contained in a deformable tube is considered. Quasi-one-dimensional mixture-averaged flow equations that include fluid–structure interaction are formulated. The steady shock relations are derived and the nonlinear effect due to the gas-phase compressibility is examined. Experiments are conducted in which a free-falling steel projectile impacts the top of an air/water mixture in a polycarbonate tube, and stress waves in the tube material and pressure on the tube wall are measured. The experimental data indicate that the linear theory is incapable of properly predicting the propagation speeds of finite-amplitude waves in a mixture-filled tube; the shock theory is found to more accurately estimate the measured wave speeds.

JFM classification

Drops and Bubbles: Bubble dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 671 , 25 March 2011 , pp. 339 - 363
Copyright
Copyright © Cambridge University Press 2011

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Footnotes

‡

Present address: Department of Mechanical Engineering, Shizuoka University, Hamamatsu 432-8561, Japan.

Present address: Department of Mechanical Engineering and Science, Tokyo Institute of Technology, Tokyo 152-8550, Japan.

References

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