VIII. <i>On the pressure developed in a liquid during the collapse of a spherical cavity</i>

Rayleigh, Lord

doi:10.1080/14786440808635681

Cited by 2,836 publications

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“…Relation (2.2) implies a proportionality between R max and T osc . It can be derived from the Rayleigh collapse time, T coll (Rayleigh 1917), the time from bubble maximum to the next minimum for an empty bubble collapsing in a liquid of density ρ liq under the external pressure p stat :…”

Section: Experimental and Numerical Methodsmentioning

confidence: 99%

Dynamics of laser-induced bubble pairs

et al. 2015

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The interaction of two laser-induced bubbles in bulk water is investigated. The strength and direction of the emerging liquid jets can be controlled by adjusting the relative bubble positions, the time difference between bubble generation, and the laser pulse energies determining the bubble sizes. Experimental and numerical studies are performed for millimetre-sized bubble pairs. Taking bubbles of equal energy, a maximum jet velocity is found for close anti-phase bubbles, i.e. when the second bubble is produced at the maximum volume of the first one and the bubble walls are almost touching and not merging. Under these conditions, one bubble produces a fast jet with a peak velocity of about 150 m s −1 that reaches a distance into the surrounding liquid of at least three times the maximum bubble radius. Collapse of the other bubble results in a slow jet of large mass that rapidly converts into a ring vortex. Correspondingly, the interaction with adjacent structures is dominated either by localized jet impact or by shear stresses extending over a larger area. Furthermore, interactions between micrometre-sized bubble pairs are investigated numerically to understand and predict how the effects of the physical parameters on bubble dynamics would change when the bubbles become smaller. The results are discussed with respect to micropumping and opto-injection.

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Section: Experimental and Numerical Methodsmentioning

confidence: 99%

Dynamics of laser-induced bubble pairs

et al. 2015

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“…Two asymptotic regimes of expansion are possible. Very early bubble growth is essentially an isothermal process [3], during which the factor limiting bubble growth rate is not the rate of production of vapour, but the rate at which momentum is transferred to the surrounding body of fluid ("inertial bubble growth"). Subsequent bubble growth is limited by the transport of heat to the bubble surface ("heat diffusion controlled bubble growth" [4]), and that is the focus of the present work.…”

Section: Our Current Understanding Of the Early Stages Of Vapour Bubbmentioning

confidence: 99%

Evaporative thermal resistance and its influence on microscopic bubble growth

Giustini

Jung

Kim

et al. 2016

International Journal of Heat and Mass Transfer

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Simulations of the formation of small steam bubbles indicate that the rate of growth of bubbles is very sensitive to the rate of evaporation of the micro-layer of liquid beneath the bubble. Such evaporation is rapid, and is modelled as being driven by the large heat flux through the thin liquid layer caused by the difference in temperature between the solid-liquid interface, and the saturation temperature in the interior of the bubble. However, application of this approach to recent experimental measurements of Jung and Kim generated anomalous results. In this paper we demonstrate that a model of the micro-layer heat flux that includes an allowance for the finite evaporative thermal resistance is able to eliminate these anomalies. This evaporative thermal resistance is a consequence of near-interface molecular dynamics, characterised by a quantity termed 'evaporation coefficient'. Whilst in most engineering applications evaporative thermal resistance is small compared to conductive resistance, here, with the micro-layer thickness ranging from a few microns down to zero, it becomes of considerable importance. Selection of a molecular 'evaporation coefficient' to restore consistency to the anomalous measurements allows a plausible numerical value to be inferred. For the several times and multiple locations studied, a fairly consistent value of between 0.02 and 0.1 is indicated, (for saturated water in laboratory conditions), which itself is consistent with earlier literature values of this rather difficult quantity. It is shown that the evaporative resistance always represents a large fraction of the conductive resistance, and for important phases of the process dominates it. The need for inclusion of this phenomenon in the microlayer models used in bubble analysis is clear.

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“…The Rayleigh-Taylor equation (Rayleigh 1917) augmented with an expression for viscosity, surface tension, an incident sound wave (Rayleigh/Plesset/Noltingk/Neppiras/Poritsky) (Lauterborn 1976) and radiation damping (Löfstedt et al 1993) is frequently used. An equation with a more complete modelling of radiation damping is the one from Keller & Miksis (1980) (see also Brennen 1995)…”

Section: Radial Oscillations (A) the Gilmore Equationmentioning

confidence: 99%

Acoustic energy radiated by nonlinear spherical oscillations of strongly driven bubbles

Holzfuss

2010

Proc. R. Soc. A.

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Based on the theory of F. Gilmore (Gilmore 1952 The growth or collapse of a spherical bubble in a viscous compressible liquid) for radial oscillations of a bubble in a compressible medium, the sound emission of bubbles in water driven by high-amplitude ultrasound is calculated. The model is augmented to include expressions for a variable polytropic exponent, hardcore and water vapour. Radiated acoustic energies are calculated within a quasi-acoustic approximation and also a shock wave model. Isoenergy lines are shown for driving frequencies of 23.5 kHz and 1 MHz. Together with calculations of stability against surface wave oscillations leading to fragmentation, the physically relevant parameter space for the bubble radii is found. Its upper limit is around 6 mm for the lower frequency driving and 1-3 mm for the higher. The radiated acoustic energy of a single bubble driven in the kilohertz range is calculated to be of the order of 100 nJ per driving period; a bubble driven in the megahertz range reaches two orders of magnitude less. The results for the first have applications in sonoluminescence research. Megahertz frequencies are widely used in wafer cleaning, where radiated sound may be implicated as responsible for the damage of nanometre-sized structures.

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VIII. On the pressure developed in a liquid during the collapse of a spherical cavity

Cited by 2,836 publications

References 0 publications

Dynamics of laser-induced bubble pairs

Dynamics of laser-induced bubble pairs

Evaporative thermal resistance and its influence on microscopic bubble growth

Acoustic energy radiated by nonlinear spherical oscillations of strongly driven bubbles

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