Example Problem II-1-5 (Concluded)

Also from Figure II-1-11 or II-1-12,

(*y*t & *d*)

% 1 ' 0.865

thus,

(d) The dimensionless wave profile is given in Figures II-1-11 and II-1-12 for *k*2 = 1 - 10-5. The results

obtained in (c) above can also be checked by using Figures II-1-11 and II-1-12. For the wave profile obtained

with *k*2 = 1 - 10-5, the SWL is approximately 0.14H above the wave trough or 0.86H below the wave crest.

The results for the wave celerity determined under (b) above can now be checked with the aid of

Figure II-1-16. Calculate

(1)

' 0.349

'

2.865

Entering Figure II-1-16 with

(1)

' 0.349

'

2.865

3

and

' 0.349

it is found that

' 1.126

Therefore,

The differences between this number and the 5.90 m /sec (18.38 ft/s) calculated under (b) above is the result of

small errors in reading the curves.

Water Wave Mechanics

II-1-47

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