Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-20T07:44:59.440Z Has data issue: false hasContentIssue false
  • English
  • Français

Interaction between a cavitation bubble and shear flow

Published online by Cambridge University Press:  26 March 2010

SADEGH DABIRI ,
WILLIAM A. SIRIGNANO  and
DANIEL D. JOSEPH
SADEGH DABIRI
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA
WILLIAM A. SIRIGNANO*
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA
DANIEL D. JOSEPH
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The deformation of a cavitation bubble in shear and extensional flows is studied numerically. The Navier–Stokes equations are solved to observe the three-dimensional behaviour of the bubble as it grows and collapses. During the collapse phase of the bubble, two re-entrant jets are observed on two sides of the bubble. The re-entrant jets are not the result of interaction with a solid wall or free surface; rather, they are formed due to interaction of the bubble with the background flow. Effects of the viscosity, surface tension and shear rate on the formation and strength of re-entrant jets are investigated. Re-entrant jets with enough strength break up the bubble into smaller bubbles. Post-processing and analysis of the results are done to cast the disturbance by the bubble on the liquid velocity field in terms of spherical harmonics. It is found that quadrupole moments are created in addition to the monopole source.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 651 , 25 May 2010 , pp. 93 - 116
Copyright
Copyright © Cambridge University Press 2010

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

Blake, J. R. & Gibson, D. C. 1987 Cavitation bubbles near boundaries. Annu. Rev. Fluid Mech. 19, 99–123.CrossRefGoogle Scholar
Brennen, C. E. 1995 Cavitation and Bubble Dynamics. Oxford University Press.CrossRefGoogle Scholar
Dabiri, S., Sirignano, W. A. & Joseph, D. D. 2007 Cavitation in an orifice flow. Phys. Fluids 19 (7), 072112.CrossRefGoogle Scholar
Hayase, T., Humphrey, J. A. C. & Greif, R. 1992 A consistently formulated quick scheme for fast and stable convergence using finite-volume iterative calculation procedure. J. Comput. Phys. 98, 108–118.CrossRefGoogle Scholar
Joseph, D. D. 1998 Cavitation and the state of stress in a flowing liquid. J. Fluid Mech. 366, 367–376.CrossRefGoogle Scholar
Lauterborn, W. & Bolle, H. 1975 Experimental investigations of cavitation-bubble collapse in neighbourhood of a solid boundary. J. Fluid Mech. 72, 391–399.CrossRefGoogle Scholar
Osher, S. & Fedkiw, R. P. 2001 Level set methods: an overview and some recent results. J. Comput. Phys. 169, 436.CrossRefGoogle Scholar
Patankar, S. V. 1980 Numerical Heat Transfer and Fluid Flow. Hemisphere.Google Scholar
Plesset, M. S. & Prosperetti, A. 1977 Bubble dynamics and cavitation. Annu. Rev. Fluid Mech. 9, 145–185.CrossRefGoogle Scholar
Popinet, S. & Zaleski, S. 2002 Bubble collapse near a solid boundary: a numerical study of the influence of viscosity. J. Fluid Mech. 464, 137–163.CrossRefGoogle Scholar
Rust, A. C. & Manga, M. 2002 Bubble shapes and orientations in low Re simple shear flow. J. Coll. Interface Sci. 249 (2), 476–480.CrossRefGoogle Scholar
Sussman, M., Fatemi, E., Smereka, P. & Osher, S. 1998 An improved level set method for incompressible two-phase flows. Comput. Fluids 27, 663–680.CrossRefGoogle Scholar
Yu, P. W., Ceccio, L. & Tryggvason, G. 1995 The collapse of a cavitation bubble in shear flows: a numerical study. Phys. Fluids 7 (11).CrossRefGoogle Scholar