Journal ArticleDOI
Free oscillations of drops and bubbles: the initial-value problem
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.read more
Citations
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Detailed finer features in spectra of interfacial waves for characterization of a bubble-laden drop
TL;DR: In this paper, a configurational dependence of spectra is calculated for arbitrary location of the void by using a novel approach under low capillary number and low Bond number limits, based on expansion in two sets of basis functions where their mutual transformations are utilized to enforce interfacial boundary conditions.
Journal ArticleDOI
Comment on “Deformation of biological cells in the acoustic field of an oscillating bubble”
TL;DR: Findings from a recent paper regarding the dynamics of biological cells in an acoustic field draws conclusions that are open to debate are examined.
Journal ArticleDOI
Dynamics of oscillating drops with thermocapillary effects
B.S.C. Lau,Farzad Mashayek +1 more
TL;DR: In this paper, the formation of surface and internal flows due to variation of surface tension with temperature, and their impact on the oscillations are discussed in terms of spherical harmonics.
Journal ArticleDOI
Dynamics of a dry-rebounding drop: observations, simulations, and modeling
TL;DR: In this paper, the deformation of a drop after the impact was found to be a combination of two vibrational motions: an inertial motion derived from the freefall and a pressure-induced motion due to the sudden stop of the bottom part of the drop at the impact.
Journal ArticleDOI
Numerical analysis of decaying nonlinear oscillations of a viscous liquid drop
TL;DR: In this article, an adaptive grid numerical model is developed for simulating the dynamics of a viscous liquid drop whose initial shape is strongly disturbed by an external field, and simulated oscillations of a drop in microgravity and on a horizontal surface are compared with available numerical and experimental results.
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).