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Study on the Bubble Growth and Departure with A Lattice Boltzmann Method

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For the growth and departure of bubbles from an orifice, a free energy lattice Boltzmann model is adopted to deal with this complex multiphase flow phenomenon. A virtual layer is set at the boundary of the flow domain to deal with the no-slip boundary condition. Effects of the viscosity, surface tension, gas inertial force and buoyancy on the characteristics of bubbles when they grow and departure from an orifice in quiescent liquid are studied. The releasing period and departure diameter of the bubble are influenced by the residual gas at the orifice, and the interaction between bubbles is taken into consideration. The relations between the releasing period or departure diameter and the gravity acceleration show fair agreements with previous numerical and theoretical results. And the influence of the gas outflow velocity on bubble formation is discussed as well. For the bubbles growing in cross-flow field, effects of the cross-flow speed and the gas outflow velocity on the bubble formation are discussed, which is related to the application in ship resistance reduction. And optimal choice of the ship speed and gas outflow velocity is studied. Cases in this paper also prove that this high density ratio LBM model has its flexibility and effectiveness on multiphase flow simulations.

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The authors would like to express their sincere thanks to Prof. ZHANG A-man from Harbin Engineering University for his valuable comments and suggestions on the manuscript, and Dr. WANG Zhi-kai from Harbin Engineering University for his discussion on the programming.

Author information

Correspondence to Shi-ping Wang.

Additional information

Foundation item: This work was financially supported by the National Key R&D Program of China (Grant No. 2018YFC0308900), the Industrial Technology Development Program (Grant No. JCKY2018604C010) and Shenzhen Special Fund for Future Industries (Grant No. JCYJ20160331163751413).

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Chen, G., Huang, X., Wang, S. et al. Study on the Bubble Growth and Departure with A Lattice Boltzmann Method. China Ocean Eng 34, 69–79 (2020). https://doi.org/10.1007/s13344-020-0007-7

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Key words

  • lattice Boltzmann method
  • free energy model
  • bubble growth and departure
  • high density ratio