TITLE:
Surface Gravity Waves: Shallow Water Fluid Particle Physics
AUTHORS:
Kern E. Kenyon
KEYWORDS:
Shallow Water Waves, Fluid Particle Physics
JOURNAL NAME:
Natural Science,
Vol.12 No.10,
October
27,
2020
ABSTRACT: One of Newton’s
mathematical solutions to a hypothetical orbital problem, recently verified by
an independent physics model, is applied to the fluid particle motion in shallow
water surface gravity waves. What is the functional form of the central force,
with origin at the ellipse’s center, which will keep a body in the orbit? Newton
found out it is the spring force, which is linear. All fluid particles in
shallow water waves move in ellipses. By a superposition of solutions in a
linear problem, the application of Newton’s result to shallow water waves is
combined with a feature not noticed by Newton: the orbital period is
independent of the semi-major and semi-minor axes. Two conclusions reached are
that the wave period of shoaling waves should be constant and that there is no
friction in these waves.