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Journal ArticleDOI

Free oscillations of drops and bubbles: the initial-value problem

Andrea Prosperetti
- 25 Sep 1980 - 
- Vol. 100, Iss: 02, pp 333-347
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TLDR
In this paper, the authors study the initial value problem posed by the small amplitude free oscillations of free drops, gas bubbles, and drops in a host liquid when viscous effects cannot be neglected.
Abstract
We study the initial-value problem posed by the small-amplitude (linearized) free oscillations of free drops, gas bubbles, and drops in a host liquid when viscous effects cannot be neglected. It is found that the motion consists of modulated damped oscillations, with the damping parameter and frequency approaching only asymptotically the results of the normal-mode analysis. The connexion with the normal-mode method is demonstrated explicitly and the experimental relevance of our results is discussed.

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Journal ArticleDOI

Physics of bubble oscillations

TL;DR: In this paper, the basic equations for nonlinear bubble oscillation in sound fields are given, together with a survey of typical solutions, and three stability conditions for stable trapping of bubbles in standing sound fields: positional, spherical and diffusional stability.
Journal ArticleDOI

Numerical Models of Surface Tension

TL;DR: Eulerian surface tension models play an increasingly important role in our capacity to understand and predict a wide range of multiphase flow problems The accuracy and robustness of these models have improved markedly in the past 20 years, so that they are now applicable to complex, threedimensional configurations of great theoretical and practical interest as discussed by the authors.
Journal ArticleDOI

The thermal behaviour of oscillating gas bubbles

TL;DR: In this paper, a simplified model of the oscillations of a gas bubble in a slightly compressible liquid is discussed by means of simplified model based on the assumption of a spatially uniform internal pressure.
Journal ArticleDOI

Laboratory Measurements of Axis Ratios for Large Raindrops

TL;DR: In this article, the authors investigated the oscillations of moderate to large raindrops using a seven-story fall column with shape data obtained from multiple-strobe photographs, with additional measurements at intermediate distances to assess the role of aerodynamic feedback as the source of drop oscillations.
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Compact acoustic levitation device for studies in fluid dynamics and material science in the laboratory and microgravity

TL;DR: In this article, an ultrasonic levitation device is described together with its various applications in the fields of fluid dynamics, material science, and light scattering, including surface waves on freely suspended liquids, the variations of the surface tension with temperature and contamination, the deep undercooling of materials with the temperature variations of their density and viscosity.
References
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Journal ArticleDOI

The unsteady motion of a small sphere in a viscous liquid

TL;DR: In this paper, the authors considered the drag experienced by a sphere moving with velocity dependent on a single time scale t 0 in an unbounded viscous liquid and showed that unless t0 is sufficiently large, an asymptotic expansion in the Reynolds number becomes invalid for large times.
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Oscillation frequencies of freely suspended water drops

TL;DR: In this article, an investigation of water-drop oscillations was undertaken through the analysis of high-speed films of water drops suspended in a large vertical wind tunnel. But the results were limited to a small number of drops, ranging in size from 1 to 7 mm.
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Initial value problem for Rayleigh–Taylor instability of viscous fluids

TL;DR: In this paper, the Fourier-Laplace transforms of the hydrodynamic variables are inverted explicitly to express the fluid variables as integrals of Green's functions multiplied by initial data, without restriction on the density or viscosity of either fluid.
Journal ArticleDOI

Orthogonal conductivity of a toroidal plasma

Allen H. Boozer
- 01 Jan 1976 - 
TL;DR: In this paper, the orthogonal conductivity of a toroidal plasma is calculated in the fluid regime, where the damping time for toroidally directed angular momentum is τN and the flow induced by the electric field is almost purely toroidal and of magnitude c (Er−E0r)/Bp.
Journal ArticleDOI

The motion of drops in viscous media

TL;DR: The effects of local variations in interfacial tension on the motion of drops in liquid systems are discussed in this paper, where approximate models of the drop motion are used to make quantitative estimates of the relative importance of different dynamical modes in dissipating the surface energy.
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