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Nonlinear oscillations of inviscid drops and bubbles
John Tsamopoulos,Robert S. Brown +1 more
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In this article, moderate-amplitude axisymmetric oscillations of incompressible inviscid drops and bubbles are studied using a Poincare-Lindstedt expansion technique, and corrections to the drop shape and velocity potential caused by mode coupling at second order in amplitude are predicted for two-, three-and four-lobed motions.Abstract:
Moderate-amplitude axisymmetric oscillations of incompressible inviscid drops and bubbles are studied using a Poincare–Lindstedt expansion technique. The corrections to the drop shape and velocity potential caused by mode coupling at second order in amplitude are predicted for two-, three- and four-lobed motions. The frequency of oscillation is found to decrease with the square of the amplitude; this result compares well with experiments and numerical calculations for drops undergoing two-lobed oscillations.read more
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Physics of bubble oscillations
Werner Lauterborn,Thomas Kurz +1 more
TL;DR: In this paper, the basic equations for nonlinear bubble oscillation in sound fields are given, together with a survey of typical solutions, and three stability conditions for stable trapping of bubbles in standing sound fields: positional, spherical and diffusional stability.
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Ultrasound contrast microbubbles in imaging and therapy: physical principles and engineering
TL;DR: A review of the physical aspects of these agents, exploring microbubble imaging modes, models for micro bubble oscillation and the interaction of the micro bubble with the endothelium can be found in this article.
Journal ArticleDOI
Oscillations of magnetically levitated aspherical droplets
D. L. Cummings,D. A. Blackburn +1 more
TL;DR: In this paper, the authors investigated how the vibrations of a non-rotating liquid droplet are affected by the asphericity and additional restoring forces that the levitating field introduces and showed that the expected single frequency of the fundamental mode is split into either three, when there is an axis of rotational symmetry, or five unequally spaced bands.
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Oscillations of drops in zero gravity with weak viscous effects
T. S. Lundgren,Nagi N. Mansour +1 more
TL;DR: In this article, the effect of small viscosity is included in the computations by retaining first-order viscous terms in the normal stress boundary condition, which is accomplished by making use of a partial solution of the boundary-layer equations which describe the weak vortical surface layer.
References
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Journal ArticleDOI
On the Capillary Phenomena of Jets
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
Standing surface waves of finite amplitude
TL;DR: In this article, the surface profile, potential function, pressure and frequency of the motion are determined (to third order) as series in powers of the amplitude divided by the wavelength, and graphs of the surface profiles and of the pressure as a function of depth are included.
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