Journal of the Korean Society of Visualization (한국가시화정보학회지)

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

DOI QR Code

Numerical Study of Bursting Jet in Two Tandem Bubbles

직렬 배열된 두 기포의 bursting jet에 대한 수치적 연구

  • Received : 2020.11.29
  • Accepted : 2020.12.17
  • Published : 2020.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

When a bubble reaches a free surface, a bursting of the bubble produces a high speed jet. Despite its practical importance, significant effort has been devoted to investigate a bursting jet by a single bubble near a free surface. In the present study, we perform numerical simulations of bubbles in a tandem arrangement at Bo=0.05. The configuration of the tandem bubbles is systematically varied by changing a radius of a following bubble (RF) and the gap distance between two bubbles (L). Compared to a single bubble case, we show that the bursting bubble in the tandem arrangement accelerates, and the jet velocity increases. Moreover, we find that a critical gap distance at which the jet velocity unexpectedly changes exists in the tandem case.

Keywords

References

  1. Veron, F., 2015, "Ocean spray," Annu. Rev. Fluid Mech., Vol. 47, 507. https://doi.org/10.1146/annurev-fluid-010814-014651
  2. Baylor, E. R., Peters, V., Baylor, M. B., 1977, "Water-to-air transfer of virus," Science., Vol. 197, pp.763-764. https://doi.org/10.1126/science.329413
  3. Duchemin, L., Popinet, S., Josserand, C., Zaleski, S., 2002, "Jet formation in bubbles bursting at a free surface," Phys. Fluids., Vol. 14, pp.3000-3008. https://doi.org/10.1063/1.1494072
  4. Boulton-Stone, J. M. and Blake, J. R., 1993, "Gas bubbles bursting at a free surface," J. Fluid Mech., Vol. 254, 437. https://doi.org/10.1017/S0022112093002216
  5. Ghabache, E., Antkowiak, A., Josserand, C., Seon, T., 2014, "On the physics of fizziness: how bubble bursting controls droplets ejection," Phys. Fluids., Vol. 26, 121701. https://doi.org/10.1063/1.4902820
  6. Deike, L., Ghabache, E., Liger-Belair, G., Das, A. K., Zaleski, S., Popinet, S., Seon, T., 2018, "Dynamics of jets produced by bursting bubbles," Phys. Rev. Fluids., Vol. 3, 013603. https://doi.org/10.1103/PhysRevFluids.3.013603
  7. Toba, Y., 1959, "Drop production by bursting of air bubbles on the sea surface (ii) theoretical study on the shape of floating bubbles," J. Oceanogr. Soc. Jpn., Vol. 15, 121. https://doi.org/10.5928/kaiyou1942.15.121
  8. Singh, D. and Das, A. K., 2019, "Numerical investigation of the collapse of a static bubble at the free surface in the presence of neighbors," Phys. Rev. Fluids., Vol. 4, 023602. https://doi.org/10.1103/PhysRevFluids.4.023602
  9. Chorin, A. J., 1997, "A numerical method for solving incompressible viscous flow problems," J. Comput. Phys., Vol. 135, pp.118-125. https://doi.org/10.1006/jcph.1997.5716
  10. Kunz, R. F., Boger, D. A., Stinebring, D. R., Chyczewski, T. S., Lindau, J. W., Gibeling, H. J., Venkateswaran, S., and Govindan, T. R., 2000, "A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction," Comput. Fluids., Vol. 29, 849. https://doi.org/10.1016/S0045-7930(99)00039-0
  11. Ha, C. T. and Lee, J. H., 2020, "A modified monotoni-city preserving high-order scheme with application to computation of multi-phase flows," Comput. Fluids., Vol. 197, 104345. https://doi.org/10.1016/j.compfluid.2019.104345
  12. Macintyre, F., 1972, "Flow patterns in breaking bubbles," J. Geophys. Res., Vol. 77 (27), pp.5211-5228. https://doi.org/10.1029/JC077i027p05211
  13. Ganan-Calvo, A. M., 2017, "Revision of Bubble Bursting: Universal Scaling Laws of Top Jet Drop Size and Speed," Phys. Rev. Lett., Vol. 119, 204502. https://doi.org/10.1103/PhysRevLett.119.204502
  14. Gordillo, J. M. and Rodriquez-Rodriquez, J., 2019, "Capillary waves control the ejection of bubble bursting jets," J. Fluid Mech., Vol. 867, pp.556-571. https://doi.org/10.1017/jfm.2019.161
  15. Bhaga, D. and Weber, M. E., 1981, "Bubbles in viscous liquids: shapes, wakes and velocities," J. Fluid Mech., Vol.105, pp.61-85. https://doi.org/10.1017/S002211208100311X
  16. Walls, P., Henaux, L., Bird, J., 2015, "Jet drops from bursting bubbles: How gravity and viscosity couple to inhibit droplet production," Phys. Rev. E., Vol.92, 021002(R).
  17. Ghabache, E. and Seon, T., 2016, "Size of the top jet drop produced by bubble bursting," Phys. Rev. Fluids., Vol.1, 051901(R).
  18. Zeff, B. W., Kleber, B., Fineberg, J., Lathrop, D. P., 2000, "Singularity dynamics in curvature collapse and jet eruption on a fluid surface," Lett. Nature., Vol.403, 401. https://doi.org/10.1038/35000151