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
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Book ChapterDOI
Equilibrium Shapes of Rotating Spheroids and Drop Shape Oscillations
TL;DR: In this paper, the equilibrium shapes of a rotating spheroid and drop shape oscillations are reviewed, as well as the related theoretical aspects of the equilibrium shape of a drop, the stability, shape oscillation, gravitational forces, and drop fission.
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Self-excitation of Leidenfrost drops and consequences on their stability.
TL;DR: In this paper, it was shown that the Leidenfrost phenomenon is triggered by an intrinsic periodic forcing arising from a vibration of the vapor cushion, which can excite surface standing waves possibly amplified under geometric conditions of resonance.
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Resonant and antiresonant bouncing droplets.
TL;DR: In this article, the relationship between the droplet deformations and the bouncing mechanism is studied experimentally and theoretically through an asymmetric and dissipative bouncing spring model, and it is shown that both resonance at specific frequencies and antiresonance at Rayleigh frequencies play crucial roles in the bouncing mechanisms.
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On the analytical and numerical simulation of an oscillating drop in zero-gravity
TL;DR: In this article, an extension of the theory that includes the coupled effects of surface tension and viscosity is proposed, which permits derivation of both properties simultaneously, which is of interest for fluid with unknown viscosities.
Journal ArticleDOI
A model for mass transfer in oscillating-circulating liquid drops†
TL;DR: In this article, velocity vector computations based upon flow-visualization techniques have enabled the development of a detailed model for flow patterns in a droplet-continuum system typical of liquid-liquid solvent extraction.
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).