Journal ArticleDOI
Free oscillations of drops and bubbles: the initial-value problem
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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.read more
Citations
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Journal ArticleDOI
Finite Element Simulations of Free Surface Flows With Surface Tension in Complex Geometries
TL;DR: In this paper, a surface tension model was implemented into ANSYS/FLOTRAN to study free surface flows with surface tension in complex geometries, where both normal and tangential components of surface tension forces were modeled at the interface through a continuum surface force (CSF) model.
Journal ArticleDOI
An experimental method for the investigation of droplet oscillations in a gaseous medium
Günter Brenn,Arnold Frohn +1 more
TL;DR: In this paper, an experimental method for the investigation of droplet oscillations in a gaseous medium is presented, where droplets are produced using vibrating orifice droplet generators.
Journal ArticleDOI
Bubble splitting in oscillatory flows on ground and in reduced gravity.
TL;DR: The inertial mechanism often deemed to cause the breakup of drops subjected to a rapid gas stream is shown to give explanations consistent with the experiments and a breakup criterion for both gravitational environments is proposed through discussions from an energetic point of view.
Journal ArticleDOI
On the dynamics of fluid particle breakage induced by hydrodynamic instabilities: A review of modelling approaches
TL;DR: A review of the models concerning instability of the interface between a fluid particle and continuous phase is provided to assist elucidating the role of particle oscillations and shape deformations in breakage phenomena.
Book ChapterDOI
Oscillation of Droplets and Bubbles
Nasser Ashgriz,Mohammad Movassat +1 more
TL;DR: In this paper, the basic theory for the oscillation of liquid droplet and gas bubbles is provided. But, it is not shown how to predict the behavior of gas bubbles and liquid droplets.
References
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Journal ArticleDOI
Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
TL;DR: An accurate method is presented for the numerical inversion of Laplace transform, which is a natural continuation to Dubner and Abate's method, and the error bound on the inverse f{t) becomes independent of t, instead of being exponential in t.
Journal ArticleDOI
The oscillations of a fluid droplet immersed in another fluid
C. A. Miller,L. E. Scriven +1 more
TL;DR: In this paper, a general dispersion equation is derived by which frequency and rate of damping of oscillations can be calculated for arbitrary values of droplet size, physical properties of the fluids, and interfacial viscosity and elasticity coefficients.
Journal ArticleDOI
Viscous effects on perturbed spherical flows
TL;DR: In this paper, the problem of describing free oscillations of a viscous liquid drop and of a bubble in a fluid is studied in detail, and it is shown that the oscillations are initially describable in terms of an irrotational approximation, and that the normal-mode results are recovered as t −* <».
Journal ArticleDOI
The oscillations of a viscous liquid drop
TL;DR: In this article, it was shown that for the diffraction of an arbitrary two-dimensional incident pulse by a wedge of angle n, the ratio of the resultant velocity potential to the corresponding value of the incident pulse at the corner of the wedge at any instant is equal to 2x/ (2x n) n; and that for a threedimensional pulse diffraction by a cone of solid angle u>, the ratio at the vertex of the cone is equal tO 4ir/ (47T ) co).