EM 1110-2-1100 (Part II)
30 Apr 02
4 RB
Tn '
(II-7-12)
Open basin
(1 % 2 n) g d
(3) The number of nodes in the basin n does not include the node at the entrance. The period for the
fundamental mode (n = 0) is
4 RB
T0 '
(II-7-13)
gd
(4) Maximum horizontal velocities and particle excursions in a standing wave occur at the nodes. Thus
there is potential for troublesome harbor conditions in the vicinity of nodes. Some additional useful
relationships for standing waves are as follows (Figure II-7-29) (see Sorensen (1986) for details)
H
g
Vmax '
(II-7-14)
2
d
Figure II-7-29. Motions in a standing wave
where
Vmax = maximum horizontal velocity at a node
H = standing wave height
H Tn
g
X '
(II-7-15)
2π
d
where X = maximum horizontal particle excursion at a node
HL
V '
(II-7-16)
π d Tn
Harbor Hydrodynamics
II-7-37
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