Journal of the Korean Society of Visualization (한국가시화정보학회지)

The Korean Society of Visualization (한국가시화정보학회)
권호 표지
DOI QR코드

DOI QR Code

Interaction between a rising toroidal bubble and a free surface

상승하는 원환형 기포와 자유수면의 상호작용

  • Received : 2022.07.05
  • Accepted : 2022.07.19
  • Published : 2022.07.31
Download PDF
⟨ Previous Next ⟩

Abstract

We experimentally investigate a rising toroidal bubble impacting a free surface. The toroidal bubble is created by releasing pulsed air. By adjusting the volume and circulation of the toroidal bubble, the characteristics of interactions between the toroidal bubble and the free surface are identified. Because of the impact by the toroidal bubble, the free surface is convexly deformed upwards above the center point of the toroidal bubble, while the edge of the deformed free surface is pulled down. When the circulation of the bubble becomes stronger, the surface which was pulled down breaks eventually, and air above the free surface is entrained into water, forming an unstable toroidal bubble. The deformations at the center and edge of the free surface are in a linear relationship with the Froude number and the Weber number, respectively.

Keywords

References

  1. Ribeiro, C. P., Jr. and Mewes, D., 2007, "The effect of electrolytes on the critical velocity for bubble coalescence," Chem. Eng. J. 2007, Vol. 126, pp. 23~33. https://doi.org/10.1016/j.cej.2006.08.029
  2. Walls, P. L., Bird, J. C. and Bourouiba , L., 2014, "Moving with bubbles: a review of the interactions between bubbles and the microorganisms that surround them," Integr. Compar. Biol., Vol. 54, pp. 1014~1025. https://doi.org/10.1093/icb/icu100
  3. Zawala, J. and Malysa, K., 2011, "Influence of the impact velocity and size fo the film formed on bubble coalescence time at water surface," Langmuir, Vol. 27, pp. 2250~2257 https://doi.org/10.1021/la104324u
  4. Stuhlman, O., 1932, "The mechanics of effervescence," Physics, Vol. 2, pp. 457~466. https://doi.org/10.1063/1.1745071
  5. Spiel, D. E., 1998, "On the birth of film drops from bubbles bursting on seawater surfaces," J. Geophys. Res., Vol. 103, pp. 24907~24918. https://doi.org/10.1029/98JC02233
  6. Tripathi, M. K., Sahu, K. C., and Govindarajan, R., 2015, "Dynamics of an initially spherical bubble rising in quiescent liquid", Nat. Commun., Vol. 6, 6268. https://doi.org/10.1038/ncomms7268
  7. Walters, J. K., and Davidson, J. F., 1963, "The initial motion of a gas bubble formed in an inviscid liquid Part 2. The three-dimensional bubble and the toroidal bubble," J. Fluid Mech., Vol. 17, pp. 321~336. https://doi.org/10.1017/S0022112063001373
  8. Chen, L., Garimella, S. V., Reizes, J. A. and Leonardi, E., 1999 "The development of a bubble rising in a viscous liquid," J. Fluid Mech., Vol. 387, pp. 61~96. https://doi.org/10.1017/S0022112099004449
  9. Vasel-Be-Hagh, A. R., Carriveau, R., and Ting, D. S.-K., 2015, "A balloon bursting underwater," J. Fluid Mech., Vol. 769, pp. 522~540. https://doi.org/10.1017/jfm.2015.126
  10. Wang, S., Duan, W. and Wang., Q., 2015 "The bursting of a toroidal bubble at a free surface," Ocean Engineering, Vol. 109, pp. 611~622. https://doi.org/10.1016/j.oceaneng.2015.09.017
  11. Lesage, P., Kemiha, M., Poncin, S., Midoux, N. & Li, H.Z., 2016, "Mimicking dolphins to produce ring bubbles in water," Biomimetics, Vol. 1, article no: 7.
  12. Yan, X., Carriveau, R. & Ting, D. S.-K., 2018, "Laminar to turbulent buoyant vortex ring regime in terms of Reynolds number, Bond number, and Weber number," J. Fluids Eng., Vol. 140, 054502. https://doi.org/10.1115/1.4038661
  13. Linden, P. F., 1973, "The interaction of a vortex ring with a sharp density interface: a model for turbulent entrainment," J. Fluids Mech., Vol. 60, pp. 467~480. https://doi.org/10.1017/S0022112073000303
  14. Dahm, W. J. A., Scheil, C. M. and Tryggvason, G., 1989, "Dynamics of vortex interaction with a density interface," J. Fluid Mech., Vol. 205, pp. 1~43. https://doi.org/10.1017/S002211208900193X
  15. Song, M., Choi, S. and Kim, D., 2021, "Interactions of the interface of immiscible liquids with an impinging vortex ring," Phys. Fluids, Vol. 33, 022108. https://doi.org/10.1063/5.0036247
  16. Song, M., Bernal, L. P., and Tryggvason, G. 1992, "Head-on collision of a large vortex ring with a free surface," Phys. Fluids A, Vol. 4, pp. 1457~1466. https://doi.org/10.1063/1.858420
  17. Pedley, T. J., 1968, "The toroidal bubble," J. Fluid Mech., Vol. 32, pp. 97~112. https://doi.org/10.1017/S0022112068000601
  18. Walker, J. D. A., Smith, C. R., Cerra, A. W. and Doligalski, T. L., 1987, "The impact of a vortex ring on a wall," J. Fluid Mech., Vol. 181, pp. 99~140. https://doi.org/10.1017/S0022112087002027