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 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.
© Cambridge University Press 2011. Received 16 February 2010; revised 8 October 2010; accepted 28 October 2010; first published online 15 February 2011. The authors would like to express their thanks to T. Nishiyama for his help with the experimentation, R. Porowski for the bubble images and S. Hori for his observations about the experimental data. This work was supported by ONR grant N00014-06-1-0730.
Published - Ando2011p13224J_Fluid_Mech.pdf