Shock propagation through a bubbly liquid in a deformable tube

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...

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Bibliographic Details
Published in:Journal of fluid mechanics Vol. 671; pp. 339 - 363
Main Authors: ANDO, KEITA, SANADA, T., INABA, K., DAMAZO, J. S., SHEPHERD, J. E., COLONIUS, T., BRENNEN, C. E.
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 25.03.2011
Subjects:
Bubbles
Compressibility
Deformation
Exact sciences and technology
Flow equations
Flow velocity
Fluid dynamics
Fluid mechanics
Fluid-structure interaction
Formability
Fundamental areas of phenomenology (including applications)
Gas flow
Liquids
Multiphase and particle-laden flows
Nonhomogeneous flows
Physics
Projectiles
Propagation
Solid mechanics
Structural and continuum mechanics
Tubes
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Wave propagation
gas/liquid flows
bubble dynamics
wave–structure interactions
Gas liquid interface
Shock waves
Water hammer
Test facilities
Two-phase flow
Fluid-structure interactions
Circular pipe
Compressional waves
Bubble flow
Experimental study
Deformable body
ISSN:0022-1120, 1469-7645
Online Access:Get full text
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Summary: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.
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ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112010005707