1)A wave with a period T = 10 seconds is propagated shoreward over a uniformly sloping shelf from a depth d = 656 ft to a depth d = 9.8 ft. Find the wave celerities C and lengths L corresponding to depths d = 656 ft and d = 9.8 ft
1)A wave with a period T = 10 seconds is propagated shoreward over a uniformly sloping shelf from a
depth d = 656 ft to a depth d = 9.8 ft. Find the wave celerities C and lengths L corresponding to depths d =
656 ft and d = 9.8 ft
2) A wave in a depth d = 12 m, height H = 3 m, and a period T = 10 sec. The corresponding deepwater
wave height is H0 = 3.13 m.
Find:
(a) The maximum horizontal and vertical displacement of a water particle from its mean position when z
= 0 and z = -d.
(b) The maximum water particle displacement at an elevation z = -7.5 m when the wave is in infinitely
deep water.
(c) For the deepwater conditions of (b) above, show that the particle displacements are small relative to
the wave height when z = -L0 /2
3)A concrete coated steel gas pipeline is to be laid between two offshore platforms in 100 m water depth
where the maximum environmental conditions include waves of 20 m wave height and 14 s period. The
pipeline outside diameter is 46 cm, and the clay bottom slope is 1 on 100. Determine the submerged unit
weight of the pipe. Assume linear wave theory is valid and that the bottom current is negligible.
4) A wave in deepwater has a height of 30 ft and period of 13 s. What is the height of the wave in 100 ft of
water resulting only from shoaling?
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