2004
DOI: 10.1023/b:engi.0000018172.53498.a2
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Jets in bubbles

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Cited by 103 publications
(56 citation statements)
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“…Pearson et al (2004) show that it still yields qualitatively good results down to c = 0.8. For smaller distances to the wall, the calculations suffer from strong instabilities.…”
Section: Bubble In Front Of a Wallmentioning
confidence: 84%
“…Pearson et al (2004) show that it still yields qualitatively good results down to c = 0.8. For smaller distances to the wall, the calculations suffer from strong instabilities.…”
Section: Bubble In Front Of a Wallmentioning
confidence: 84%
“…Solutions with finite-volume solvers are not potentially as fast as with boundary-element methods, 16 but the inclusion of viscosity seems to preclude boundary-only discretizations since Green's functions are only available in the inviscid and strictly viscous limits. Boundary integrals would also be inconsistent with our current simulations in which we wish to track the fluid jet even after the bubble has collapsed to very small ͑negligible in our model͒ size.…”
Section: Numerical Solvermentioning
confidence: 99%
“…Thermal injury is not expected in lithotripsy. 14 Simulations of collapsing bubbles typically neglect viscosity, 12,[15][16][17][18][19][20][21] which is indeed justified based on the Reynolds numbers of the jets expected under typical conditions, 20 though for very small bubbles viscous effects have been identified for non-shock-induced ͑so-called Rayleigh͒ collapse near a wall. 22 The re-entrant jets for lithotripter shocks appear to have speeds of around 1000 m / s, 12 so for a 1 mm diameter bubble in water the jet Reynolds number is about 10 6 .…”
Section: Introductionmentioning
confidence: 99%
“…In the limit, however, when one of the forces dominates, only one axial jet is formed and the bubble migrates in the direction of the dominant force. Later in the collapse phase the axial jet penetrates the opposite bubble wall and the bubble takes a toroidal shape (see, for example, Brujan et al, 2002, Pearson et al, 2004.…”
Section: Kelvin Impulse Bubble Migration and Jet Formationmentioning
confidence: 99%
“…Well established boundary integral techniques (e.g. Best and Kucera, 1992;Pearson et al, 2004) accurately model the highly non-linear and non-spherical bubble behaviour extremely accurately. Pressures are typically large so that surface tension effects may be neglected.…”
Section: Introductionmentioning
confidence: 99%