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Resonance of a pressure-forced rectangular surface-gravity mode
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Fluid mechanics
Free surface
Surface gravity wave
Deep-water gravity wave
Linearized free-surface boundary conditions
Rectangular standing surface-gravity mode
Created
2026-09-24
Updated
2026-09-24
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Pressure
forcing
of one rectangular
free-surface
mode reduces its
amplitude
to
H
′′
+
g
k
H
=
−
ρ
k
p
0
cos
(
ω
t
)
.
(1)
At
ω
=
g
k
, the inviscid undamped response contains
t
sin
(
ω
t
)
and grows without bound in the linear
model
.
Ancestors
(9)
Rectangular standing surface-gravity mode
Linearized free-surface boundary conditions
Deep-water gravity wave
Surface gravity wave
Free surface
Fluid mechanics
Branch of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ib
/
Paper 4
/
16C
/
b
/
vi
/
Solution
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