Skip to main content
SpringerLink
Log in

The motion of a small bubble in waves

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The motion of a single spherical small bubble due to buoyancy in the ideal fluid with waves is investigated theoretically and experimentally in this article. Assuming that the bubble has no effect on the wave field, equations of a bubble motion are obtained and solved. It is found that the nonlinear effect increases with the increase of the bubble radius and the rising time. The rising time and the motion orbit are given by calculations and experiments. When the radius of a bubble is smaller than 0.5mm and the distance from the free surface is greater than the wave height, the results of the present theory are in close agreement with measurements.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Plesset MS, Prosperetti A. Bubble dynamics and cavitation.Ann Rev Fluid Mech, 1977, 9: 145

    Article  MATH  Google Scholar 

  2. Moore DW. The velocity of rise of distorted gas bubbles in a liquid of small viscosity.J Fluid Mech, 1965, 23: 749

    Article  Google Scholar 

  3. Ryskin G, Leal LG. Bubble deformation in an axisymmetric straining flow.J Fluid Mech, 1984, 148: 37

    Article  MATH  Google Scholar 

  4. Chakraborty BB, Tuteba GS. Motion of an expanding, spherical gas bubble in a viscous liquid under gravity.Phys Fluids (A), 1993, 5(8): 1879

    Article  MATH  Google Scholar 

  5. Watanabe T, Kukita Y. Translational and radial motions of a bubble in an acoustic standing wave field.Phys. Fluids (A), 1993, 5(11): 2682

    Article  Google Scholar 

  6. Vagle S, Farmer DM. The measurement of bubble-size distribution by acoustical backscatter.J of Atmospheric and Oceanic Technology, 1991, 9: 630

    Article  Google Scholar 

  7. Dept of Engineering Mech, Univ of Tsinghua. Foundation of Fluid Mechanics. Beijing: Mechanical Industry Press, 1980. 169 (in Chinese)

    Google Scholar 

  8. Crum LA. Bjerknes forces on bubbles in stationary sound field.J Acoust Soc Am 1975, 57: 1363

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, China

    Liu Chunrong & Zhou Xianchu

Authors
  1. Liu Chunrong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhou Xianchu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chunrong, L., Xianchu, Z. The motion of a small bubble in waves. Acta Mech Sinica 13, 113–119 (1997). https://doi.org/10.1007/BF02487917

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487917

Key Words

Search

Navigation