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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Plesset MS, Prosperetti A. Bubble dynamics and cavitation.Ann Rev Fluid Mech, 1977, 9: 145
Moore DW. The velocity of rise of distorted gas bubbles in a liquid of small viscosity.J Fluid Mech, 1965, 23: 749
Ryskin G, Leal LG. Bubble deformation in an axisymmetric straining flow.J Fluid Mech, 1984, 148: 37
Chakraborty BB, Tuteba GS. Motion of an expanding, spherical gas bubble in a viscous liquid under gravity.Phys Fluids (A), 1993, 5(8): 1879
Watanabe T, Kukita Y. Translational and radial motions of a bubble in an acoustic standing wave field.Phys. Fluids (A), 1993, 5(11): 2682
Vagle S, Farmer DM. The measurement of bubble-size distribution by acoustical backscatter.J of Atmospheric and Oceanic Technology, 1991, 9: 630
Dept of Engineering Mech, Univ of Tsinghua. Foundation of Fluid Mechanics. Beijing: Mechanical Industry Press, 1980. 169 (in Chinese)
Crum LA. Bjerknes forces on bubbles in stationary sound field.J Acoust Soc Am 1975, 57: 1363
Author information
Authors and Affiliations
Additional information
The project supported by the National Natural Science Foundation of China
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487917