Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-01-09T22:11:22.106Z Has data issue: false hasContentIssue false
  • English
  • Français

Growth, oscillation and collapse of vortex cavitation bubbles

Published online by Cambridge University Press:  10 April 2009

JAEHYUG CHOI ,
CHAO-TSUNG HSIAO ,
GEORGES CHAHINE  and
STEVEN CECCIO
JAEHYUG CHOI*
Affiliation:
Department of Mechanical Engineering The University of Michigan, Ann Arbor, MI 48109-2121USA
CHAO-TSUNG HSIAO
Affiliation:
DYNAFLOW Inc., Jessup, MD 20794USA
GEORGES CHAHINE
Affiliation:
DYNAFLOW Inc., Jessup, MD 20794USA
STEVEN CECCIO
Affiliation:
Department of Mechanical Engineering The University of Michigan, Ann Arbor, MI 48109-2121USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The growth, oscillation and collapse of vortex cavitation bubbles are examined using both two- and three-dimensional numerical models. As the bubble changes volume within the core of the vortex, the vorticity distribution of the surrounding flow is modified, which then changes the pressures at the bubble interface. This interaction can be complex. In the case of cylindrical cavitation bubbles, the bubble radius will oscillate as the bubble grows or collapses. The period of this oscillation is of the order of the vortex time scale, τV = 2πrc/uθ, max, where rc is the vortex core radius and uθ, max is its maximum tangential velocity. However, the period, oscillation amplitude and final bubble radius are sensitive to variations in the vortex properties and the rate and magnitude of the pressure reduction or increase. The growth and collapse of three-dimensional bubbles are reminiscent of the two-dimensional bubble dynamics. But, the axial and radial growth of the vortex bubbles are often strongly coupled, especially near the axial extents of the bubble. As an initially spherical nucleus grows into an elongated bubble, it may take on complex shapes and have volume oscillations that also scale with τV. Axial flow produced at the ends of the bubble can produce local pinching and fission of the elongated bubble. Again, small changes in flow parameters can result in substantial changes to the detailed volume history of the bubbles.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 624 , 10 April 2009 , pp. 255 - 279
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Arabshahi, A., Taylor, L. K. & Whitfield, D. L. 1995 UNCLE: toward a comprehensive time accurate incompressible Navier-Stokes flow solver. AIAA-95-0050, Reno, NV.Google Scholar
Arndt, R. 2002 Cavitation in vortical flow. Annu. Rev. Fluid Mech. 34, 143–175.CrossRefGoogle Scholar
Arndt, R. & Keller, A. 1992 Water quality effects on cavitation inception in a trailing vortex. J. Fluids Engng 114, 430–438.CrossRefGoogle Scholar
Chahine, G. L. 1995 Bubble interactions with vortices. In Vortex Flows (ed Green, S.), vol. 30, pp. 783–823. Kluwer Academic.Google Scholar
Chesnakas, C. & Jessup, S. 2003, Tip vortex induced cavitation on a ducted propulsor. In Proceedings of 4th ASME-JSME Joint Fluids Eng. Conf., FEDSM2003-45320, Honolulu, Hawaii.CrossRefGoogle Scholar
Choi, J. & Ceccio, S. L. 2007 Dynamics and noise emission of vortex cavitation bubbles. J. Fluid Mech. 575, 1–26.CrossRefGoogle Scholar
Choi, J. K. & Chahine, G. L. 2004 Noise due to extreme bubble deformation near inception of tip vortex cavitation. Phys. Fluids 16 (7), 2411–2418.CrossRefGoogle Scholar
Choi, J. K. & Chahine, G. L. 2007 Modeling of bubble generated noise in tip vortex cavitation inception. ACTA Acoustica United with Acustica, J. Eur. Acoustics Assoc. 93, 555–565.Google Scholar
Choi, J. K., Hsiao, C.-T. & Chahine, G. L. 2004 Tip vortex cavitation inception study using the Surface Averaged Pressure (SAP) model combined with a bubble splitting model. In Proceedings of 25th Symposium on Naval Hydrodynamics, Canada.Google Scholar
Franc, J.-P.and Michel, J.-M., 2004, Fundamentals of Cavitation. Springer.Google Scholar
Hsiao, C.-T. & Chahine, G. L. 2001 Numerical simulation of bubble dynamics in a vortex flow using Navier-Stokes computations and moving Chimera grid scheme. In Proc. CAV2001, Pasadena, CA.Google Scholar
Hsiao, C.-T. & Chahine, G. L. 2004 Prediction of tip vortex cavitation inception using coupled spherical and nonspherical bubble models and Navier–Stokes computations. J. Marine Sci. Tech. 8, 99–108CrossRefGoogle Scholar
Hsiao, C.-T. & Chahine, G. L. 2005 Scaling of tip vortex cavitation inception noise with a bubble dynamics model accounting for nuclei size distribution. J. Fluids Engng 127, 55–65.CrossRefGoogle Scholar
Hsiao, C.-T., Chahine, G. L. 2008 Numerical study of cavitation inception due to vortex/vortex interaction in a ducted propulsor. J. Ship Res. 52, 114–123.CrossRefGoogle Scholar
Iyer, C. O. & Ceccio, S. L. 2002 The influence of developed cavitation on the flow of a turbulent shear layer. Phys. Fluids 14 (10), 3414–3431.CrossRefGoogle Scholar
Katz, J & O'Hern, T. J., 1986 Cavitation in large scale shear flow. J. Fluids Engng. 108, 373–376.CrossRefGoogle Scholar
Kedrinskii, V. K. 2005 Hydrodynamics of Explosion: Experiments and Models. Springer.Google Scholar
O'Hern, T. J. 1990 An experimental investigation of turbulent shear flow cavitation. J. Fluid Mech. 215, 365–391.CrossRefGoogle Scholar
Oweis, G. & Ceccio, S. L. 2005 Instantaneous and time averaged flow fields of multiple vortices in the tip region of a ducted propulsor. Exp. Fluids 38, 615–636.CrossRefGoogle Scholar
Oweis, G. F., Choi, J. & Ceccio, S. L. 2004 Dynamics and noise emission of laser induced cavitation bubbles in a vortical flow field. J. Acoust. Soc. Am. 115 (3), 1049–1058.CrossRefGoogle Scholar
Oweis, G., Fry, D., Chesnakas, C. J., Jessup, S. D. & Ceccio, S. L. 2006 a Development of a tip-leakage flow: Part 1 – the flow over a range of Reynolds Numbers. J. Fluids Engng 128, 751–764.CrossRefGoogle Scholar
Oweis, G., Fry, D., Chesnakas, C. J., Jessup, S. D. & Ceccio, S. L. 2006 b Development of a tip-leakage flow: Part 2 – Comparison between the ducted and un-ducted rotor. J. Fluids Engng 128, 765–773.CrossRefGoogle Scholar