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Interaction of lithotripter shockwaves with single inertial cavitation bubbles

Published online by Cambridge University Press:  23 November 2007

EVERT KLASEBOER ,
SIEW WAN FONG ,
CARY K. TURANGAN ,
BOO CHEONG KHOO ,
ANDREW J. SZERI ,
MICHAEL L. CALVISI ,
GEORGY N. SANKIN  and
PEI ZHONG
EVERT KLASEBOER
Affiliation:
Institute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore117528
SIEW WAN FONG
Affiliation:
Institute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore117528
CARY K. TURANGAN
Affiliation:
Institute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore117528
BOO CHEONG KHOO*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore119260 Singapore-MIT Alliance, 4 Engineering Drive 3, Singapore117576
ANDREW J. SZERI
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley, California 94720, USA
MICHAEL L. CALVISI
Affiliation:
School of Mathematics, The University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
GEORGY N. SANKIN
Affiliation:
Department of Mechanical Engineering and Materials Science, Duke University, Box 90300 Durham, NC 27708, USA
PEI ZHONG
Affiliation:
Department of Mechanical Engineering and Materials Science, Duke University, Box 90300 Durham, NC 27708, USA
*
†Author to whom correspondence should be addressed.
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Abstract

The dynamic interaction of a shockwave (modelled as a pressure pulse) with an initially spherically oscillating bubble is investigated. Upon the shockwave impact, the bubble deforms non-spherically and the flow field surrounding the bubble is determined with potential flow theory using the boundary-element method (BEM). The primary advantage of this method is its computational efficiency. The simulation process is repeated until the two opposite sides of the bubble surface collide with each other (i.e. the formation of a jet along the shockwave propagation direction). The collapse time of the bubble, its shape and the velocity of the jet are calculated. Moreover, the impact pressure is estimated based on water-hammer pressure theory. The Kelvin impulse, kinetic energy and bubble displacement (all at the moment of jet impact) are also determined. Overall, the simulated results compare favourably with experimental observations of lithotripter shockwave interaction with single bubbles (using laser-induced bubbles at various oscillation stages). The simulations confirm the experimental observation that the most intense collapse, with the highest jet velocity and impact pressure, occurs for bubbles with intermediate size during the contraction phase when the collapse time of the bubble is approximately equal to the compressive pulse duration of the shock wave. Under this condition, the maximum amount of energy of the incident shockwave is transferred to the collapsing bubble. Further, the effect of the bubble contents (ideal gas with different initial pressures) and the initial conditions of the bubble (initially oscillating vs. non-oscillating) on the dynamics of the shockwave-bubble interaction are discussed.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 593 , 25 December 2007 , pp. 33 - 56
Copyright
Copyright © Cambridge University Press 2007

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