Bubble Radius

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Philippe Marmottant - One of the best experts on this subject based on the ideXlab platform.

  • Model for the growth and the oscillation of a cavitation Bubble in a spherical liquid-filled cavity enclosed in an elastic medium
    Physical Review E, 2018
    Co-Authors: Alexander Doinikov, Benjamin Dollet, Philippe Marmottant
    Abstract:

    Equations are derived that describe the growth and subsequent damped oscillation of a cavitation Bubble in a liquid-filled cavity surrounded by an elastic solid. It is assumed that the nucleation and the growth of the Bubble are caused by an initial negative pressure in the cavity. The liquid is treated as viscous and compressible. The obtained equations allow one to model, by numerical computation, the growth and the oscillation of the Bubble in the cavity and the oscillation of the cavity surface. It is shown that the equilibrium Radius reached by the growing Bubble decreases when the absolute magnitude of the initial negative pressure decreases. It is also found that the natural frequency of the Bubble oscillation increases with increasing Bubble Radius. This result is of special interest because in an unbounded liquid, the natural frequency of a Bubble is known to behave oppositely, namely it decreases with increasing Bubble Radius.

A. E. Kuchma - One of the best experts on this subject based on the ideXlab platform.

  • stages of steady diffusion growth of a gas Bubble in strongly supersaturated gas liquid solution
    Colloid Journal, 2009
    Co-Authors: A. E. Kuchma, Yu G Gor, F M Kuni
    Abstract:

    Gas Bubble growth as a result of diffusion flux of dissolved gas molecules from the surrounding supersaturated solution to the Bubble surface is studied. The condition of the flux steadiness is revealed. A limitation from below on the Bubble Radius is considered. Its fulfillment guarantees the smallness of fluctuation influence on Bubble growth and irreversibility of this process. Under the conditions of steadiness of diffusion flux three stages of Bubble growth are marked out. Taking into account Laplace forces in the Bubble, intervals of Bubble size change and time intervals of these stages are found. The trend of the third stage towards the self-similar regime of the Bubble growth, when Laplace forces in the Bubble are completely neglected, is described analytically.

  • dynamics of gas Bubble growth in a supersaturated solution with sievert s solubility law
    Journal of Chemical Physics, 2009
    Co-Authors: A. E. Kuchma
    Abstract:

    This paper presents a theoretical description of diffusion growth of a gas Bubble after its nucleation in supersaturated liquid solution. We study systems where gas molecules completely dissociate in the solvent into two parts, thus making Sievert’s solubility law valid. We show that the difference between Henry’s and Sievert’s laws for chemical equilibrium conditions causes the difference in Bubble growth dynamics. Assuming that diffusion flux is steady we obtain a differential equation on Bubble Radius. Bubble dynamics equation is solved analytically for the case of homogeneous nucleation of a Bubble, which takes place at a significant pressure drop. We also obtain conditions of diffusion flux steadiness. The fulfillment of these conditions is studied for the case of nucleation of water vapor Bubbles in magmatic melts.

Fabienne Espitalier - One of the best experts on this subject based on the ideXlab platform.

  • theoretical model of ice nucleation induced by acoustic cavitation part 1 pressure and temperature profiles around a single Bubble
    Ultrasonics Sonochemistry, 2016
    Co-Authors: Claudia Cogne, Stephane Labouret, Roman Peczalski, Olivier Louisnard, Fabien Baillon, Fabienne Espitalier
    Abstract:

    This paper deals with the inertial cavitation of a single gas Bubble in a liquid submitted to an ultrasonic wave. The aim was to calculate accurately the pressure and temperature at the Bubble wall and in the liquid adjacent to the wall just before and just after the collapse. Two different approaches were proposed for modeling the heat transfer between the ambient liquid and the gas: the simplified approach (A) with liquid acting as perfect heat sink, the rigorous approach (B) with liquid acting as a normal heat conducting medium. The time profiles of the Bubble Radius, gas temperature, interface temperature and pressure corresponding to the above models were compared and important differences were observed excepted for the Bubble size. The exact pressure and temperature distributions in the liquid corresponding to the second model (B) were also presented. These profiles are necessary for the prediction of any physical phenomena occurring around the cavitation Bubble, with possible applications to sono-crystallization.

  • theoretical model of ice nucleation induced by inertial acoustic cavitation part 2 number of ice nuclei generated by a single Bubble
    Ultrasonics Sonochemistry, 2016
    Co-Authors: Claudia Cogne, Stephane Labouret, Roman Peczalski, Olivier Louisnard, Fabien Baillon, Fabienne Espitalier
    Abstract:

    In the preceding paper (part 1), the pressure and temperature fields close to a Bubble undergoing inertial acoustic cavitation were presented. It was shown that extremely high liquid water pressures but quite moderate temperatures were attained near the Bubble wall just after the collapse providing the necessary conditions for ice nucleation. In this paper (part 2), the nucleation rate and the nuclei number generated by a single collapsing Bubble were determined. The calculations were performed for different driving acoustic pressures, liquid ambient temperatures and Bubble initial Radius. An optimal acoustic pressure range and a nucleation temperature threshold as function of Bubble Radius were determined. The capability of moderate power ultrasound to trigger ice nucleation at low undercooling level and for a wide distribution of Bubble sizes has thus been assessed on the theoretical ground.

Seth Putterman - One of the best experts on this subject based on the ideXlab platform.

  • energy balance for a sonoluminescence Bubble yields a measure of ionization potential lowering
    Physical Review Letters, 2013
    Co-Authors: Brian Alan Kappus, Alexander Bataller, Seth Putterman
    Abstract:

    Application of energy conservation between input sound and the microplasma which forms at the moment of sonoluminescence places bounds on the process, whereby the gas is ionized. Detailed pulsed Mie scattering measurements of the Radius versus time for a xenon Bubble in sulfuric acid provide a complete characterization of the hydrodynamics and minimum Radius. For a range of emission intensities, the blackbody spectrum emitted during collapse matches the minimum Bubble Radius, implying opaque conditions are attained. This requires a degree of ionization >36%. Analysis reveals only 2.1±0.6  eV/atom of energy available during light emission. In order to unbind enough charge, collective processes must therefore reduce the ionization potential by at least 75%. We interpret this as evidence that a phase transition to a highly ionized plasma is occurring during sonoluminescence.

  • measurement of pressure and density inside a single sonoluminescing Bubble
    Physical Review Letters, 2006
    Co-Authors: David J Flannigan, Seth Putterman, Stephen D Hopkins, Carlos G Camara, Kenneth S Suslick
    Abstract:

    The average pressure inside a sonoluminescing Bubble in sulfuric acid has been determined by two independent techniques: (1) plasma diagnostics applied to Ar atom emission lines, and (2) light scattering measurements of Bubble Radius vs time. For dimly luminescing Bubbles, both methods yield intracavity pressures approximately 1500 bar. Upon stronger acoustic driving of the Bubble, the sonoluminescence intensity increases 10,000-fold, spectral lines are no longer resolved, and Radius vs time measurements yield internal pressures > 3700 bar. Implications for a hot inner core are discussed.

  • pulsed mie scattering measurements of the collapse of a sonoluminescing Bubble
    Physical Review Letters, 1997
    Co-Authors: Keith Weninger, Bradley P Barber, Seth Putterman
    Abstract:

    Measurements of light scattered off a Bubble that is illuminated by a train of short pulses enables one to resolve the strongly supersonic collapse of a sonoluminescing Bubble. We find that the collapse is faster than Mach 4 (relative to the ambient speed of sound of the gas in the Bubble) and that the flash of sonoluminescence is emitted within 500 ps of the minimum Bubble Radius, at about which time the Bubble's acceleration is greater than ${10}^{11}\phantom{\rule{0ex}{0ex}}\mathrm{g}$.

  • toward a hydrodynamic theory of sonoluminescence
    Physics of Fluids, 1993
    Co-Authors: Ritva Lofstedt, Bradley P Barber, Seth Putterman
    Abstract:

    For small Mach numbers the Rayleigh–Plesset equations (modified to include acoustic radiation damping) provide the hydrodynamic description of a Bubble’s breathing motion. Measurements are presented for the Bubble Radius as a function of time. They indicate that in the presence of sonoluminescence the ratio of maximum to minimum Bubble Radius is about 100. Scaling laws for the maximum Bubble Radius and the temperature and duration of the collapse are derived in this limit. Inclusion of mass diffusion enables one to calculate the ambient Radius. For audible sound fields these equations yield picosecond hot spots, such as are observed experimentally. However, the analysis indicates that a detailed description of sonoluminescence requires the use of parameters for which the resulting motion reaches large Mach numbers. Therefore the next step toward explaining sonoluminescence will require the extension of Bubble dynamics to include nonlinear effects such as shock waves.

Alexander Doinikov - One of the best experts on this subject based on the ideXlab platform.

  • Model for the growth and the oscillation of a cavitation Bubble in a spherical liquid-filled cavity enclosed in an elastic medium
    Physical Review E, 2018
    Co-Authors: Alexander Doinikov, Benjamin Dollet, Philippe Marmottant
    Abstract:

    Equations are derived that describe the growth and subsequent damped oscillation of a cavitation Bubble in a liquid-filled cavity surrounded by an elastic solid. It is assumed that the nucleation and the growth of the Bubble are caused by an initial negative pressure in the cavity. The liquid is treated as viscous and compressible. The obtained equations allow one to model, by numerical computation, the growth and the oscillation of the Bubble in the cavity and the oscillation of the cavity surface. It is shown that the equilibrium Radius reached by the growing Bubble decreases when the absolute magnitude of the initial negative pressure decreases. It is also found that the natural frequency of the Bubble oscillation increases with increasing Bubble Radius. This result is of special interest because in an unbounded liquid, the natural frequency of a Bubble is known to behave oppositely, namely it decreases with increasing Bubble Radius.