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Gravitational acceleration is driven by the slope of the water
surface. Referring to Figure 1, the acceleration along the
longitudinal axis is
G RAVITY
Accelera tion of G ra vity = g
a
g ,l
S=
a
H
X
g ,l
S
g
a g , l= -g
s inS
-g
S
a g , l= -g
H
X
Figure 1
Gravitational Acceleration
a g,8 ' &g sin S
(2)
where:
g
=
acceleration of gravity = 9.81 m/sec2
S
=
water surface slope, m/m.
Because the value of S is small, sin S can be replaced by S.
Expressing S as the change of water surface elevation with
longitudinal distance gives:
3