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Experimental investigation of the Kelvin-Helmholtz instabilities of cylindrical gas columns in viscous fluids
journal contribution
posted on 2018-04-10, 14:04 authored by Huayong ZhaoHuayong Zhao, Benjamin BhabraThis paper derives analytical solutions for the critical Kelvin–Helmholtz (KH) instability conditions at the interface between a cylindrical gas column and a pool of viscous immiscible fluid confined in a chamber of finite size. The analysis focuses on conditions of negligible heat and mass transfer. The derivations are based on the established approaches reported in the literature with different boundary conditions. The most unstable instability conditions have also been calculated numerically. Experiments designed to measure the actual air column break-up conditions in water have been carried out to validate the analytical models. Comparisons show that the most unstable conditions predicted by the Viscous Corrections of the Viscous Potential Flow KH model are the best match to the experimentally measured break-up conditions. Parametric investigation of the instability theories shows that the vapour column size has a noticeable effect on the critical conditions, but has a negligible effect on the most unstable conditions when the column radius is greater than 1.2 mm. Furthermore, the critical instability conditions are sensitive to the chamber size and the perturbation symmetry, while the most unstable conditions are insensitive to these parameters.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
International Journal of Multiphase FlowCitation
ZHAO, H. and BHABRA, B., 2018. Experimental investigation of the Kelvin-Helmholtz instabilities of cylindrical gas columns in viscous fluids. International Journal of Multiphase Flow, 105, pp.74-83.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2018-03-22Publication date
2018Notes
This paper was published in the journal International Journal of Multiphase Flow and the definitive published version is available at https://doi.org/10.1016/j.ijmultiphaseflow.2018.03.017.ISSN
0301-9322Publisher version
Language
- en