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Experimental investigation of the Kelvin-Helmholtz instabilities of cylindrical gas columns in viscous fluids

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journal contribution
posted on 10.04.2018 by Huayong Zhao, Benjamin Bhabra
This 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 Flow

Citation

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

© Elsevier

Version

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

22/03/2018

Publication date

2018

Notes

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

0301-9322

Language

en

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