Numerical simulation of trajectory and deformation of bubble in tip vortex
According to the behaviors of a bubble in the ship wake flow, the numerical simulation is divided into two stages, quasi-spherical motion and non-spherical motion, based on whether the bubble is captured by the vortex or not. The one-way coupled particle tracking method (PTM) and the boundary element method (BEM) are adopted to simulate these two stages, respectively. Meanwhile, the initial condition of the second stage is taken as the output of the first one, and the entire simulation is connected and completed. Based on the numerical results and the published experimental data, the cavitation inception is studied, and the wake bubble is tracked. Besides, the split of the bubble captured by the vortex and the following sub-bubbles are simulated, including motion, deformation, and collapse. The results provide some insights into the control on wake bubbles and optimization of the wake flow.
Key wordswake bubble tip vortex split reverse jet
Chinese Library ClassificationO351.2
2010 Mathematics Subject Classification76B07
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- Johnson, V. E. and Hsieh, T. The influence of the trajectories of gas nuclei on cavitation inception. Sixth Symposium on Naval Hydrodynamics, 163–179 (1966)Google Scholar
- Hsiao, C. T., Jain, A., and Chahine, G. L. Effect of gas diffusion on bubble entrainment and dynamics around a propeller. 26th Symposium on Naval Hydrodynamics, September, Rome, 17–22 (2006)Google Scholar
- Rebow, M., Choi, J., Choi, J. K., Chahine, G. L., and Ceccio, S. L. Experimental validation of BEM code analysis of bubble splitting in a tip vortex flow. 11th International Symposium on Flow Visualization, August, Indiana, 9–12 (2004)Google Scholar
- Cole, R. H. Underwater Explosion, Princeton University Press, Princeton (1948)Google Scholar
- Gilmore, F. R. The growth and collapse of a spherical bubble in a viscous compressible liquid. Hydro Lab California Institute Technical Report, 26(4), 117–125 (1952)Google Scholar
- Haberman, W. L. and Morton, R. K. An Experimental Investigation of the Drag and Shape of Air Bubbles Rising in Various Liquids, David Taylor Model Basin Report, 802, Washington (1953)Google Scholar
- Borse, G. J. Numerical Methods with MATLAB, PWS, Boston (1997)Google Scholar
- Choi, J. K. and Chahine, G. L. Non-spherical bubble behavior in vortex flow fields. Computational Mechanics, 32(4–6), 281–290 (2002)Google Scholar
- Chahine, G. L., Sarkar, K., and Duraiswami, R. Strong Bubble/Flow Interaction and Cavitation Inception, Technical Report, 94003-1ONR, Maryland (1997)Google Scholar
- Zhang, A. M. and Yao, X. L. The law of the underwater explosion bubble motion near free surface. Acta Physica Sinica, 57(1), 339–353 (2008)Google Scholar