4 - Memorial University of Newfoundland DAI

functional relationship relating these variables can be writlcn u:
By the method of synthesis, the variables are cambilacd ih suela n way, so
each ha. dimension d length. Therefore.
0 ( T~~~,L~,~.,H.) =I). (4.6)
Uaing L. b.i the repeating variable to non-dimensionalizc 1110 nlrovr cxprm.
aion, the following expression results:
(4.7)
(4.8)
After mpoundinr the above expression, tho lollowing cqantion is ohlai#ml:
(4.9)
The function @ may be oblained from a convcnionl wnvc llmry (c.g., Airy's
small amplitude wave theory, Stokes' 3d or Llh ordcr wave Lhmriw, cle:.)
depending on the application. For iinslancc,
.
if stnnll a~nplitadu wnvc!. ntc:
king considered (the waveateepneas ia irrelcvn!~l),er~~nnlinv! (I.!)) rcxlom!r
L.
to:
= (2) (4.10)
For deep water and rmnll %mplitudo waves (since Ir. is no longcr rc!lcvnttt),
the equation is furlher reduced to simply: