Explanation of Rayleighs work on vibrations of liquid droplets

AI Thread Summary
The discussion centers on calculating the vibrational energy of water droplets, referencing Lord Rayleigh's 1879 work on capillary phenomena. The original paper simplifies certain aspects, leading to difficulties in understanding the calculus involved. Participants suggest exploring alternative theses or academic papers that present Rayleigh's work in a more accessible manner. One contributor proposes using the spherical wave equation to derive amplitude and incorporate water tension for accurate energy measurement. The conversation highlights the need for clearer resources on this complex topic.
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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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