User:HarryJA/Surface vibrations of a droplet
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Surface Vibrations of a Droplet can be observed at the surface of liquid droplets and, in principal, any other type of particle assuming that the driving forces is large enough. Such vibrations can occur naturally; for example surface oscillations are seen in falling raindrops. The same mathematics applies to bubbles and other analogous systems.[1] Certain properties of the fluid can be deduced from the nature of these vibrations. The mathematics of this system was first developed by the astrophysicist Subrahmanyan Chandrasekhar in his paper 'Oscillations of a Viscous Liquid Globe'.
Equilibrium Shape
[edit]In the absence of external forces pressure difference will be uniform across the droplet surface. The Young-Laplace equation shows a proportional relationship between the pressure difference and curvature. Therefore the curvature must be equal across the surface and the equilibrium shape must be a perfect sphere.Cite error: A <ref> tag is missing the closing </ref> (see the help page). tags, these references will then appear here automatically -->
- ^ 1. S. Temkin, Suspension Acoustics: An Introduction to the Physics of Suspensions, 2005, Cambridge University Press, New York, p.130-139.
External links
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