Question

**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**

Answer #1

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...

A long rectangular concrete channel (b = 10 ft, n = 0.015)
carries 400 cfs. There is a grade break in the channel; the slope
upstream of the grade break is 0.02 and the slope downstream of the
grade break is 0.002. The following equations are valid for a
rectangular channel: • DC = [(Q2)/(g*b2)]1/3 • y2 =
0.5*y1*[(1+8NFr12)1/2 -1] (for hydraulic jump) • NFr = v/(g*y)1/2
a) Use calculations to classify each section of the channel (steep,
mild, horizontal,...

A long rectangular concrete channel (b = 10 ft, n = 0.015)
carries 400 cfs. There is a grade break in the channel; the slope
upstream of the grade break is 0.02 and the slope downstream of the
grade break is 0.002. The following equations are valid for a
rectangular channel:
DC = [(Q2)/(g*b2)]1/3
y2 = 0.5*y1*[(1+8NFr12)1/2 -1] (for hydraulic jump)
NFr = v/(g*y)1/2
a) Use calculations to classify each section of the channel
(steep, mild, horizontal, adverse or critical)...

Design a trapezoidal concrete lined channel (n = 0.013) to
convey 3m3 /sec on a slope of 0.0004. Assume the use of a best
hydraulic section for the design. Express your answers to the
nearest mm.

Q4. A hydraulic jump occurs fort the given flow
conditions: discharge=20 m3/s, upstream channel geometry
trapezoid (upstream flow depth=100 cm, bottom width=100 cm, m=2),
downstream channel geometry rectangular (width= 500 cm). Calculate
downstream flow depth and power loss in the hydraulic jump.

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...

6. An overflow spillway flows into a mild channel, producing a
hydraulic jump. The channel is rectangular, with Q = 100 ft3/s,
bottom width b = 20 ft, and Manning's n = 0.015. The flow depth at
the toe of the spillway is 0.4 ft and the approximate slope at the
toe of the spillway is 0.1. The slope of the [mild] downstream
channel, which functions as a stilling basin, is 0.0001.
Calculate:
the critical depth, the length...

A 10-m wide, rectangular, concrete-lined canal (n=0.013) has a
bottom slope of 0.01 and a constant-level lake at the upstream end.
The steep canal carries a flow of is 250 m3/s and the critical and
normal depths are 4m and 2.37m, respectively. The water level in
the lake is 6.0 m above the bottom of the canal at the entrance. If
the entrance losses are negligible, using Direct Step Method
determine; i. The ﬂow depth 812 m downstream of the...

Water flows in a rectangular channel with bottom width 2.5 m at
Q = 15 m3/s and y1 = 1.10 m. If the flow
undergoes a hydraulic jump, calculate y2.

A hydraulic jump is formed in a trapezoidal channel of 2.0-m bed
width, 1:1 side slope, and carrying a discharge of 6.0 m3/s. The
initial and final depths of the jump are 0.5m and 2.0m,
respectively. Concrete blocks are placed to stabilize the jump. Cf
= 0.6. Construct the M-y diagram for the channel section. Find the
critical depth.

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