Question

1.

The channel is a rectangular shape with the wide 0.5 m

Specific discharge Q/w=0.01 m2s-1.

upstream is 2.0 cm step in

the channel bottom flow depth is 6 cm

Question: is the flow subcritical or supercritical? Find the elevation of the free surface of the flow and velocity downstream of the step ( within 1 mm).

Hint: using an iterative approach.

2. A city had big precipitation which dropped 80 mm of rainfall within 6 hours period. What is the return period of it?

Please show the details and the calculation

Thanks

Answer #1

A vertical sluice gate in a long rectangular channel 5 m wide is
lowered to produce an opening of 1.0 m. Assuming that the free flow
conditions exist at the vena contracta downstream of the gate
verify that the flow in the vena contracta is supercritical when
the discharge is 15 m3/s and determine the depth just
upstream of the gate, Cv = 0.98; Cc = 0.6. Take the upstream
velocity energy coefficient to be 1 and that at the...

A vertical sluice gate in a long rectangular channel 5 m wide is
lowered to produce an
opening of 1.0 m. Assuming that free flow conditions exist at the
vena contracta downstream
of the gate verify that the flow in the vena contracta is
supercritical when the discharge
is 15 m3/s, and determine the depth just upstream of the gate. Cv =
0.98; Cc = 0.6.
Take the upstream velocity energy coefficient (Coriolis) to be 1.0
and that at the...

The discharge through a rectangular channel 4.4 m wide is 16
m3/s. The Manning’s coefficient n is 0.003.
Determine the normal depth when the slope is 0.008. Check
whether the flow is sub or supercritical.
If the normal depth is to be kept at 2 m, determine the
slope.

The flow in a very wide rectangular channel tends to a freefall
at which the depth is reduced to 0.67 times the normal depth. The
channel conveys a specific discharge of 4 m3/s/m and has a bed
slope of 10 cm/km. Estimate the distance upstream of the fall where
the water depth is 0.9 times the normal depth. Take the Manning
coefficient as 0.025 and use the step-by-step (direct step)
method.

Water flows in a rectangular concrete channel that is 10 m wide
and has a slope of 0.005. The depth of the uniform flow in the
channel (y1) is 450 mm and the discharge per width of
the water is 2.2 m2/s. The downstream channel is smooth,
and a hydraulic jump is forced to form in the channel by installing
a sill. Calculate:
(i) the depth and velocity of the water downstream of the
hydraulic jump;
(ii) the difference in...

The 1.5 cm wide rectangular channel in the laboratory was used
to create a hydraulic jump; the following data were collected: y1 =
1.25 ± 0.05 cm; y2 = 5.6 ± 0.1 cm; Q = 8 liters/30 sec Assume the
water temperature was 20°C. (Note the mixed units above – please
present your solutions in si units)
(a) Use the theoretical equation to predict the conjugate depth
ratio, y2/y1, based on the initial depth, y1. Compare the value to
the...

During a flood flow, the depth of flow in a 10 m wide
rectangular channel at 2
sections 200 m apart was found to be 3.0 m and 2.9 m.
respectively. The drop in the
water surface elevation was found to be 0.12 m. Estimate the
flood discharge
through the channel. Assume n = 0.025.

Water approaches a sharp-crested rectangular weir through a
channel that is 2 m wide. The depth of flow in the channel is 1 m.
The weir crest is 0.6 m above the base of the channel and has a
crest width of 0.8 m. It is located in the centre of the
channel.
Assuming a coefficient of discharge of 0.61, and ignoring side
contractions, determine the discharge over the weir:
a) Assuming the approach velocity is zero
b) Including the...

A rectangular concrete channel
with n=0.013 is to be constructed on 0.5% slope:
1. Design for a flow rate of Q=18 m^3/s.
2. A 30 cm high, 5 m long broad crested weir is placed
in the channel. Calculate the depth upstream y1 and downstream y2
from the weir then get the head loss due to the hydraulic
jump

9. A sluice gate is placed across a wide rectangular channel. A
hydraulic jump occurs downstream of the sluice gate. The specific
discharge of flow in the channel is √30 (m2 /s). The flow depth
downstream of the hydraulic jump is 2 m. The contraction
coefficient of the sluice gate is 0.7. What is the sluice gate
opening (w)? (g = 10 m/s2 )
a) 0.8 m
b) 1 m
c) 1.43 m
d) 1.6 m
e) None of above

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