1980
DOI: 10.1017/s0022112080002662
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Effects of the non-equilibrium condensation of vapour on the pressure wave produced by the collapse of a bubble in a liquid

Abstract: Analytical and numerical analyses have been made of the physical behaviour of a collapsing bubble in a liquid. The mathematical formulation takes into account the effects of compressibility of the liquid, non-equilibrium condensation of the vapour, heat conduction and the temperature discontinuity at the phase interface. Numerical solutions for the collapse of the bubble are obtained beyond the time when the bubble reaches its minimum radius up to the stage when a pressure wave forms and propagates outward int… Show more

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Cited by 406 publications
(233 citation statements)
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References 26 publications
(7 reference statements)
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“…31. This is consistent with the theoretical model of Fujikawa and Akamatsu, 32 which includes the effects of compressibility of the liquid, non-equilibrium condensation of the vapour, heat conduction, temperature discontinuity at the phase interface, and the emission of shock waves. The presence of a solid boundary has shown to greatly affect the bubble shape and dynamics, for example, bubble collapse may produce water jets aimed towards the substrate.…”
Section: Resultssupporting
confidence: 88%
“…31. This is consistent with the theoretical model of Fujikawa and Akamatsu, 32 which includes the effects of compressibility of the liquid, non-equilibrium condensation of the vapour, heat conduction, temperature discontinuity at the phase interface, and the emission of shock waves. The presence of a solid boundary has shown to greatly affect the bubble shape and dynamics, for example, bubble collapse may produce water jets aimed towards the substrate.…”
Section: Resultssupporting
confidence: 88%
“…Fujikawa & Akamatsu 1980;Prosperetti & Plesset 1984;Yasui 1997;Storey & Szeri 2000;Marek & Straub 2001;Müller et al 2009;Dreyer et al 2012;Lauer et al 2012;Schanz et al 2012;Ishiyama et al 2013;Zein, Hantke & Warnecke 2013;Lotfi, Vrabec & Fischer 2014). The simulations assume an initial bubble size larger than the laser plasma to arrive at the experimental maximum bubble radii.…”
Section: Discussionmentioning
confidence: 99%
“…σ sf is the surface tension constant, κ sf is local surface curvature and n x , n y , n z are the unit normal at the droplet interface. Phase change model m  in source term S m due to the evaporation and condensation is modeled by using the equation for vapor-liquid mixture [11] based on the theory of evaporation/condensation on a plane surface [12] , ) (…”
Section: Governing Equations In Fluidmentioning
confidence: 99%