Unformatted text preview: 15 cm. Estimate the resulting flow
rate per unit width.
With respect to Fig. P10.69, show that, for frictionless
flow, the upstream velocity may be related to the water
levels by
2g(y1
K2 0.1 where K y1/y2.
A tank of water 1 m deep, 3 m long, and 4 m wide into
the paper has a closed sluice gate on the right side, as in
Fig. P10.75. At t 0 the gate is opened to a gap of 10
cm. Assuming quasisteady sluicegate theory, estimate
the time required for the water level to drop to 50 cm.
Assume free outflow. P10.78
P10.79 P10.80 P10.81 Gate raised to
a gap of 10 cm
Gate
closed P10.82 P10.83 3m *P10.84 P10.75
In Prob. 10.75 estimate what gap height would cause the
tank level to drop from 1 m to 50 cm in exactly 1 min.
Assume free outflow.
Equation (10.41) for the discharge coefficient is for free
(nearly frictionless) outflow. If the outlet is drowned, as
in Fig. 10.10c, there is dissipation and Cd drops sharply.  v v *P10.77  eText Main Menu 2 4 678
6 8
y1
H 10 12 14 16 P10.77 (From Ref. 3, p. 509.) EES P10...
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 Spring '08
 Sakar
 Fluid Dynamics, Fig, eText Main Menu, subcritical flow

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