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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Electrokinetics of isolated electrified drops
TL;DR: Simulation of the transient electrohydrodynamic response of a liquid drop containing ions, to both small and large values of electric field, finds universal scaling relations to predict size and charge of progeny drops.
Journal ArticleDOI
Dynamical behavior of electrified pendant drops
TL;DR: In this paper, the electrohydrodynamic response of low-conductivity pendant drops to a step change in the electric field magnitude was examined both numerically and experimentally.
Journal ArticleDOI
Superwalking droplets.
TL;DR: A new class of walking droplets is observed, which is dubbed superwalkers, which may be more than double the size of the largest walkers, may travel at more than triple the speed of the fastest ones, and enable a plethora of novel multidroplet behaviors.
Journal ArticleDOI
Ultrafast imaging method to measure surface tension and viscosity of inkjet printed droplets in flight
Hendrik J. J. Staat,Arjan van der Bos,Marc van den Berg,Hans Reinten,Herman Wijshoff,Michel Versluis,Detlef Lohse +6 more
TL;DR: In this article, the authors measured the surface tension and viscosity of micrometer-sized inkjet droplets in flight by recording the droplet shape oscillations microseconds after pinch-off from the nozzle.
Journal ArticleDOI
A novel representation of the surface tension force for two-phase flow with reduced spurious currents
TL;DR: In this article, a numerical model for the solution of the single-fluid formulation of the incompressible Navier-Stokes equations for two-phase flows is presented.
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).