Vessel Quotas and Operating Requirements Vessel Quotas and ...

Wave generation models and example calculations
ref. Sorensen, R.M., 1989. "Port and Channel Bank Protection from Ship Waves," Proc., Ports
'89, ASCE, pp. 393-401
⋅⎡ ⎣ ⎤ ⎦
θ = 35.3 1 − e 12⋅( F−1)
θ = wave propogation direction
⎛
⎝
⎞
⎠
gC ⋅ ⋅T
C = ⋅tanh⎜
2⋅π⋅d
= V⋅cos( θ)
(requires trial and error solution for T)
2⋅π
CT ⋅
Unconstricted channels, deep water:
(from Gates and Herbich 1977)
H max = 1.11⋅
⎛
⎜
⎝
K w ⋅B
L e
⎞
⎠
⋅
V 2
2g ⋅
⎛
⎜
⎝
⋅
2N ⋅
+
3
2
⎞
⎠
− 1
3
distance from the sailing line to channel bank
x =
2V ⋅
2
g
⋅
⎛
⎜
⎝
2N ⋅
⎞
3
+
2 ⎠ ⋅π
3
⋅sin( 19.467⋅deg)
B = ship beam
L e = the distance from the ship bow back to midship = LWL/2
N = the cusp number = 1, 2, 3...
K w = coefficient (function of ship waterline length, LWL, and ship speed V)
= -6.2(V/(LWL) 1/2 ) + 72 for V/L 1/2 < 0.95
= 1.13 for V/(LWL) 1/2 > 1.0
Canal (from Blaauw et al 1984): H max = Ad ⋅ ⋅
S = distance from the ship's side to the channel bank
A = a coefficient for ship type and loading
= 0.8 (pushing type)
= 0.35 (empty pushing type and tugboat)
= 0.25 (conventional European inland vessel)
⎛
⎜
⎝
S
d
⎞
⎠
− 0.33
⎛
⎜
⎝
V
gd ⋅
⎞
⎠
2.67
3of10
Peratrovich, Nottingham and Drage, Inc.