Capillary Wave’s Depth Decay
Kern E. Kenyon
North Lane, Del Mar, California, USA.
DOI: 10.4236/ns.2014.616112   PDF   HTML   XML   3,270 Downloads   3,858 Views  


Depth decay rates for pressure and velocity variations of a propagating capillary wave are found to be significantly different from each other, and neither one is expected to have the classical exponential character. To obtain these results Bernoulli’s equation along streamlines in the steady reference frame is combined with the force balance on fluid particles in the cross-stream direction: a pressure gradient offsets the centrifugal force on particles moving along a curved path. The two starting equations for pressure and velocity are nonlinear, but two linear first order ordinary differential equations are produced from them, one for each variable, and they can be integrated immediately. A full solution awaits further information on the non-constant coefficient, the radius of curvature function for the streamlines, either from observations or another theory.

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Kenyon, K. (2014) Capillary Wave’s Depth Decay. Natural Science, 6, 1241-1243. doi: 10.4236/ns.2014.616112.

Conflicts of Interest

The authors declare no conflicts of interest.


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