Shock propagation through a bubbly liquid in a deformable tube

Keita Ando, T. Sanada, K. Inaba, J. S. Damazo, J. E. Shepherd, T. Colonius, C. E. Brennen

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)339-363
Number of pages25
JournalJournal of Fluid Mechanics
Publication statusPublished - 2011 Mar 25
Externally publishedYes


  • bubble dynamics
  • gas/liquid flows
  • wave-structure interactions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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