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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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Oscillations of a liquid bridge resulting from the coalescence of two droplets
TL;DR: In this article, the inertial oscillations of a bridge of liquid maintained between two disks are studied under condition of negligible gravity, and four modes of oscillations are extracted from digital processing of images recorded by means of a high-speed camera.
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).