Dynamics of a spherical bubble rising in gravity, subject to traveling pressure disturbance

1. E. De Bernardis and G. Riccardi, Dynamics of a bubble rising in gravitational field, Communications in Applied and Industrial Mathematics, vol. 7, no. 1, pp. 48-67, 2016.10.1515/caim-2016-0018Search in Google Scholar

2. A. A. Doinikov, Translational motion of a spherical bubble in an acoustic standing wave of high intensity, Physics of Fluids, vol. 14, no. 4, pp. 1420-1425, 2002.Search in Google Scholar

3. R. Mettin and A. A. Doinikov, Translational instability of a spherical bubble in a standing ultrasound wave, Applied Acoustics, vol. 70, no. 10, pp. 1330-1339, 2009.Search in Google Scholar

4. W. A. H. J. Hermans, On the instability of a translating gas bubble under the influence of a pressure step. PhD thesis, Eindhoven University of Technology, 1973.Search in Google Scholar

5. A. A. Doinikov, Translational motion of a bubble undergoing shape oscillations, Journal of Fluid Mechanics, vol. 501, pp. 1-24, 2004.10.1017/S0022112003006220Search in Google Scholar

6. S. J. Shaw, Translation and oscillation of a bubble under axisymmetric deformation, Physics of Fluids, vol. 18, no. 7, p. 072104, 2006.Search in Google Scholar

7. S. J. Shaw, The stability of a bubble in a weakly viscous liquid subject to an acoustic traveling wave, Physics of Fluids, vol. 21, no. 2, p. 022104, 2009.Search in Google Scholar

8. A. J. Reddy and A. J. Szeri, Shape stability of unsteadily translating bubbles, Physics of Fluids, vol. 14, no. 7, pp. 2216-2224, 2002.Search in Google Scholar

9. Q. X. Wang and J. R. Blake, Non-spherical bubble dynamics in a compressible liquid. Part 1. Travelling acoustic wave, Journal of Fluid Mechanics, vol. 659, pp. 191-224, 2010.10.1017/S0022112010002430Search in Google Scholar

10. C. E. Brennen, Cavitation and Bubble Dynamics. Oxford: Oxford University Press, 1995.Search in Google Scholar