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