Numerical analysis of nonlinear interaction between a gas bubble and free surface in a viscous compressible liquid

Ji Tuan Feng, Yun Long Liu*, Shi Ping Wang, Shuai Zhang, Longbin Tao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)
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Abstract

Liquid viscosity has a potential effect on bubble dynamics. This paper is concerned with bubble dynamics in a compressible viscous liquid near the free surface. The liquid-gas flow is modeled using the Eulerian finite element method coupled with the volume of fluid method. The numerical results have been shown to be in excellent agreement with those from the spherical bubble theory and experiment. Parametric studies are carried out regarding the Reynolds number Re and the stand-off parameter γd. It clearly demonstrated that the liquid viscosity inhibits bubble pulsation, jet flow, free surface jet, and bubble splitting. Quantitatively, as Reynolds number Re decreases, the maximum bubble volume, jet tip velocity, free surface spike, and crown height decrease, and the toroidal bubble splitting weakens. As the stand-off parameter γd increases, the maximum bubble volume, jet velocity, and bubble average pressure peak increase while the height of the free surface spike decreases. Close observation reveals that the free surface crown tends to disappear at small Re or large γd, further indicating the complex mechanism behind the crown spike evolution.

Original languageEnglish
Article number072103
Number of pages17
JournalPhysics of Fluids
Volume35
Issue number7
DOIs
Publication statusPublished - 7 Jul 2023

Funding

The authors would like to acknowledge the support from the Finance Science and Technology Project of Hainan Province (Grant No. ZDKJ2021020), the National Natural Science Foundation of China (Grant Nos. 52088102 and 51909041), the Natural Science Foundation of Heilongjiang Province of China (Grant No. YQ2021E012), and the Development Program (No. JCKY2021604B027). The authors would like to thank Dr. Hao Tang for his help in the data analysis of this paper.

Keywords

  • numerical methods
  • finite-element analysis
  • fluid dynamics
  • bubble dynamics
  • viscous liquid

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