Geoscience Reference
In-Depth Information
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PROBLEMS
7.1
In Example 7.1, it is assumed that the effective depth,
h
2
, in the river just ahead of the surge,
was 1.0 m, and that the GM roughness in the river was
n
=
0.07. (a) What depth,
h
2
, would be
required (i.e. prior to the sudden failure of the dam) if the GM roughness were in reality
n
=
0.08
(instead of 0.07) to obtain the same time of travel of the surge, namely 57 min, as observed in the
case of the Johnstown flood? Keep the same values of the slope and of the height of the surge, as
adopted in Example 7.1. (b) What would be the required depth,
h
2
, if the roughness were actually
n
=
0.09?
7.2
A steady flow, with depth
h
=
2 m, is maintained by means of a sluice gate in a concrete-lined
canal with a uniform rectangular cross section; its width is
B
c
=
5 m, the bed slope is
S
0
=
0.0008
and the GM roughness is
n
=
0.015. Calculate the downstream celerity of the surge caused by a
sudden rise of the water level to
h
=
4 m by opening the gate.
7.3
Take the outflow,
Q
e
, listed in Table 7.2, as the inflow into the next reach downstream from the
one, considered in Example 7.2. Using the values,
X
=
0.3 and
K
=
2 h, calculate the outflow from
this next reach by means of the Muskingum method.
