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Dynamics and noise emission of vortex cavitation bubbles

Published online by Cambridge University Press:  07 March 2007

JAEHYUG CHOI
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2121, USA
STEVEN L. CECCIO
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2121, USA

Abstract

The growth and collapse of a cavitation bubble forming within the core of a line vortex was examined experimentally to determine how the dynamics and noise emission of the elongated cavitation bubble is influenced by the underlying non-cavitating vortex properties. A steady line vortex was formed downstream of a hydrofoil mounted in the test section of a recirculating water channel. A focused pulse of laser light was used to initiate a nucleus in the core of a vortex, allowing for the detailed examination of the growth, splitting and collapse of individual cavitation bubbles as they experience a reduction and recovery of the local static pressure. Images of single-bubble dynamics were captured with two pulse-synchronized high-speed video cameras. The shape and dynamics of single vortex cavitation bubbles are compared to the original vortex properties and the local static pressure in the vortex core, and an analysis was performed to understand the relationship between the non-cavitating vortex properties and the diameter of the elongated cavitation bubble. Acoustic emissions from the bubbles were detected during growing, splitting and collapse, revealing that the acoustic impulse created during collapse was four orders of magnitude higher than the noise emission due to growth and splitting. The dynamics and noise generation of the elongated bubbles are compared to that of spherical cavitation bubbles in quiescent flow. These data indicate that the core size and circulation are insufficient to scale the developed vortex cavitation. The non-cavitating vortex circulation and core size are not sufficient to scale the bubble dynamics, even though the single-phase pressure field is uniquely scaled by these parameters. A simple analytical model of the equilibrium state of the elongated cavitation bubble suggests that there are multiple possible equilibrium values of the elongated bubble radius, each with varying tangential velocities at the bubble interface. Thus, the details of the bubble dynamics and bubble–flow interactions will set the final bubble dimensions.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Arndt, R. 2002 Cavitation in vortical flow. Annu. Rev. Fluid Mech. 34, 143175.CrossRefGoogle Scholar
Arndt, R. & Keller, A. 1992 Water quality effects on cavitation inception in a trailing vortex. J. Fluids Engng 114, 430438.CrossRefGoogle Scholar
Arndt, R. & Maines, B. 2000 Nucleation and bubble dynamics in vortical flows. J. Fluids Engng 122, 488493.CrossRefGoogle Scholar
Astolfi, J. A., Fruman, D. H. & Billard, J. Y. 1999 A model for tip vortex roll-up in the near field region of three-dimensional foils and the prediction of cavitation onset. Eur. J. Mech. B Fluids 18, 757775.CrossRefGoogle Scholar
Belahadji, B., Franc, J. P. & Michel, J. M. 1995 Cavitation in the rotational structures of a turbulent wake. J. Fluid Mech. 287, 383403.CrossRefGoogle Scholar
Brennen, C. E. 1995 Cavitation and Bubble Dynamics. Oxford University Press.CrossRefGoogle Scholar
Brennen, C. E. 2002 Fission of collapsing cavitation bubbles. J. Fluid Mech. 472, 153166.CrossRefGoogle Scholar
Buogo, S. & Cannelli, G. B. 2002 Implosion of an underwater spark-generated bubble and acoustic energy evaluation using the Rayleigh model. J. Acoust. Soc. Am. 111, 25942600.CrossRefGoogle ScholarPubMed
Ceccio, S. L. & Brennen, C. E. 1991 Observations of the dynamics and acoustics of travelling bubble cavitation. J. Fluid Mech. 233, 633660.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), 24112418.CrossRefGoogle Scholar
Darmofal, D. L., Khan, R., Greitzer, E. M. & Tan, C. S. 2001 Vortex core behaviour in confined and unconfined geometries: a quasi-one-dimensional model. J. Fluid Mech. 449, 6184.CrossRefGoogle Scholar
Gopalan, S., Katz, J. & Knio, O. 1999 The flow structure in the near field of jets and its effect on cavitation inception. J. Fluid Mech. 398, 143.CrossRefGoogle 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, 5565.CrossRefGoogle Scholar
Kuhnde Chizelle, Y. de Chizelle, Y., Ceccio, S. L. & Brennen, C. E. 1995 Observations and scaling of travelling bubble cavitation. J. Fluid Mech. 293, 99126.Google Scholar
Kumar, S. & Brennen, C. E. 1993 A study of pressure pulse generated by travelling bubble cavitation. J. Fluid Mech.. 255, 541564.CrossRefGoogle Scholar
Leighton, T. G., Ho, W. L. & Flaxman, R. 1997 Sonoluminescence from the unstable collapse of a conical bubble. Ultrasonics 35, 399405.CrossRefGoogle Scholar
Li, C. I. & Ceccio, S. L. 1996 Interaction of single travelling bubbles with the boundary layer and attached cavitation. J. Fluid Mech. 322, 329353.CrossRefGoogle Scholar
Maines, B. & Arndt, R. 1997 Tip vortex formation and cavitation. J. Fluids Engng 119, 413419.CrossRefGoogle Scholar
O'hern, T. J. 1990 An experimental investigation of turbulent shear flow cavitation. J. Fluid Mech.. 215, 365391.CrossRefGoogle Scholar
Oweis, G. F. & Ceccio, S. L. 2005 Instantaneous and time-averaged flow fields of multiple vortices in the tip region of a ducted propulsor. Exps. Fluids 38, 615636.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, 10491058.CrossRefGoogle Scholar
Oweis, G. F., Hout, I. E., Iyer, C., Tryggvason, G. & Ceccio, S. L. 2005 Capture and inception of bubbles near line vortices. Phys. Fluids 17, 22 105–22 118.CrossRefGoogle Scholar
Tomita, Y., Tsubota, M. & Annaka, N. 2003 Energy evaluation of cavitation bubble generation and shock wave emission by laser focusing in liquid nitrogen. J. Appl. Phys. 93, 30393048.CrossRefGoogle Scholar
Vogel, A. & Lauterborn, W. 1988 Acoustic transient generation by laser-produced cavitation bubbles near solid boundaries. J. Acoust. Soc. Am. 84, 719731.CrossRefGoogle Scholar