Question

A discharge of 4.25 m3 /s occurs within a trapezoidal channel with a base width of 3m, 3:1 side slopes (i.e. Z = 3), a longitudinal bed slope of 0.0009 m/m with a Manning’s roughness coefficient of 0.025 (i.e. sand). State the normal flow depth (yn) critical flow depth (yc) and the Froude Number of the flowing water.

Answer #1

The discharge in a channel with bottom width 3 m is 12 m3 s–1.
If Manning’s n is 0.013 m-1/3 s and the streamwise slope is 1 in
200, find the normal depth if:
(a) the channel has vertical sides (i.e. rectangular
channel);
(b) the channel is trapezoidal with side slopes 2H:1V.
(Answer with steps plz)

A. Starting from the specific energy equation [E = y + v2
/(2g)], drive an expression for the critical flow depth (yc) in a
rectangular channel as a function of the flow rate /unit width (q).
Proof also that Froude number in that case =1.0
B. A trapezoidal channel with a bottom width of 4 m and side
slopes 4H: 1V carries a discharge of 30 m3 /s. The channel has bed
slope= 0.1 % and manning roughness coefficient =...

A flow of 28 m3/sec occurs in an earth-lined
trapezoidal channel having base width 3.0m, side slopes 1V:2H and
n= 0.022. Calculate the critical depth.

3. A trapezoidal channel has a base width b = 8 ft and side
slopes 6H:1V. The frictional slope is Sf = 0.035 and the Manning
roughness coefficient is n = 0.014. Design a channel if channel
discharge is = 15.45 m3 /s using Mannings
equation. The farmer land is 3.482 acre with a
length of 951.43 ft. what is the best length for the grass
waterway?
Depth of channel, d=? (5).
Top width of the channel=? (3)
Freeboard of...

Calculate the depth of flow in a trapezoidal channel
with a bottom width of 3m and whose walls slope 40 degrees with the
horizontal. The channel is made of unfinished concrete and is laid
on a 0.1% slope. The discharge is 15m^3/s.

Design a concrete-lined canal to carry a discharge of 10,000
cfs. The canal has a Manning’s n = 0.015 and is to be laid on a
longitudinal slope of 0.0007. If the canal is designed to have a
trapezoidal cross section with a side slope of Z = 1.5 and a bottom
width/normal depth ratio of b/yn = 3.0, determine its required
bottom width, depth, and free board. What is the Froude number
(Fr)? Will the canal have a supercritical...

Water flows in a rectangular channel in which the bottom width
is b = 0.9 (m). The channel lining has an
estimated Manning’s of n = 0.017, and the
longitudinal slope of the channel is S% = 0.50. If
the flowrate is Q = 1696 (L/s) and the depth of
flow at a gaging station is Y = 0.22 (m),
Calculate the critical depth yc
Calculate the normal depth yn
Classify the water surface profile.
State whether the depth increases...

A rectangular channel with a width of 6.5m and water depth of
1.35m has a channel bed slope of 1 in 900. Determine the discharge
when Manning’s roughness coefficient n=0.015. By changing the size
of the channel but keeping the same quantity of lining, determine
the new dimensions (water depth and width) if it is desired to
increase the discharge to a maximum and also calculate percentage
increase in discharge

A trapezoidal concrete channel (n = 0.015) has side slopes of
2H:1V, a bottom width of 10.0 ft, and a longitudinal slope of
0.005.
(a) Compute the discharge rate (in cfs) and velocity (ft/s) when
the water depth is 3.0 ft.
(b) Compute normal depth and critical depth (in feet) for a
discharge rate of 300 cfs.

Calculate the discharge (in m3/s) through an open
channel where width of the channel is 3 m and depth of flow is 7.8
m and average velocity of water flow is 1.46 m/s

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