4 - Memorial University of Newfoundland DAI

where 0.. aod a. are the standard deviation of the water pnrticio vclocity
components which, here, are qua1 to the mot menn sqtmre 01 tila volocity
components (i.e., u,. and v.,.). By substituting cqnntionr (3.8) and (3.8)
into equations (3.6) and (3.71, respectively, the linearinatio#, drag factors lor
the velocity components (up) become:
and
therefore,
(3.11)
ao = a m . (3.lZ)
Assuming s single right moving Airy wave propngnting in n =onst;u*t
density, irmtational and ideal fluid, the wave potentinl, 4, is oxgn!wnl ax:
where
4 = WA~~~~~~h',)(LU"~~(kzma~ + kysino- wl+ a), (:I.I:I]
k = wave number,
A = wave amplitude,
r = surfaa elevation above the mean sea Icvel,
O= angle olpmpa@tion of the wave with lhc tue x-iuia,
o = arbitrary phae angle, and
w = radian frequency of the wave.
But = u:+ "7, where: