Explanation of Rayleighs work on vibrations of liquid droplets

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SUMMARY

The discussion centers on the vibrational energy of water droplets as described in Lord Rayleigh's work, specifically in "On the Capillary Phenomena of Jets," published in 1879. Participants seek accessible resources, such as theses, that elaborate on Rayleigh's simplifications and calculus. The conversation also touches on the relevance of the spherical wave equation in calculating vibrational amplitude and the role of water tension in determining vibrational energy. A link to a related thesis is provided for further exploration.

PREREQUISITES
  • Understanding of Rayleigh's work on capillary phenomena
  • Familiarity with the spherical wave equation
  • Knowledge of vibrational energy concepts
  • Basic principles of fluid dynamics and water tension
NEXT STEPS
  • Research Rayleigh's original paper in Proc. R. Soc. Lond., volume 29, 1879
  • Study the spherical wave equation and its applications in fluid dynamics
  • Explore the relationship between water tension and vibrational energy
  • Review the linked thesis for detailed derivations and methodologies
USEFUL FOR

Physicists, engineers, and researchers interested in fluid dynamics, particularly those studying the vibrational properties of liquid droplets and capillary phenomena.

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Hi,

I'm trying to calculate the vibrational energy of a water droplet for a given vibrational amplitude.
Rayleigh wrote about this in Proc. R. Soc. Lond., volume 29, 1879, "On the Capillary Phenomena of Jets", Appendix II, but he makes some simplifications (as I understand it) and I also have problems following parts of his calculus.

Is anyone aware of a thesis or master thesis or similar on this subject where the work of Rayleigh is presented in a more accesible way?

Thanks!
 
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I don't know what level of detail you want to go into, but does the derivation involve the spherical wave equation? If you calculated the amplitude from that and then introduced the water tension to get the work wouldn't we get a relatively accurate measure of the vibrational energy?
http://www.giseis.alaska.edu/input/carl/research/pubs/thesis/membrane_cht_THESIS.pdf
 
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