Question

Determine the normal depth, critical depth, and channel type (mild, steep, etc.) for a trapezoidal channel with a base width of 22 and side slope 4 to 1. There is a flow rate of 1500 cfs flowing through the channel. The overall longitudinal slope is 2% and the channel is composed of soil (n=0.03).

Answer #1

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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.

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.

Define the channel type for a natural trapezoidal dirt channel
with a roughness of 0.045. The channel is 30 feet wide, 3:1 (H:V)
sides slopes, bed slope of 0.01 and flowrate of 2500 cfs.
Mild
Steep
Critical
Horizontal

A lake flows into a mild channel. The depth at the lake outlet
is the normal depth.
True
False
If subcritical flow encounters a contraction in width where the
width is greater than the width that would induce critical flow,
which alternate depth will occur downstream?
supercritical
subcritical
critical
The specific energy decreases as it passes through an expansion
in width.
True
False
Using a smoother material will increase or decrease the normal
depth?
increase
decrease

Consider the California aqueduct, which is a concrete
trapezoidal channel with a bottom width of 40 ft, a longitudinal
slope of 0.004% and 1.5H:1V sideslopes (z = 1.5). Assume n =
0.013.
The design discharge is 6400 mgd. (use 9900 cfs)
The depth of water is 29 ft at point A.
The depth of water is 30 ft at point B.
(a) What is the normal depth?
b) Determine the critical depth.
(c) What type of profile exists in the...

7. A) Find the depth of water flowing through a triangular
channel having a bed slope of 1 in 3500 and side slope of 1:1, when
it carries 1.2 m3/s. Take Manning’s Coefficient N = 0.014
B) For a most economical trapezoidal section of side slope 2h: 5V,
bed slope of 1 in 2000 and C = 50. Find the rate of flow if the
bottom width of the channel is 5 m.

A rectangular channel with width 5.5 feet conveys 225 cfs. Find
the normal depth if the n=0.022 and slope is 1%. (Requires “guess
and check”.)
Determine the Froude number for the channel and flow conditions
in 6. State the criticality condition and describe what would have
to be done to the roughness value n (increase or decrease) to
result in the channel reaching the critical depth (assuming Q and s
remained the same)? Explain.
hydraulics and hydrogeology

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...

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...

A trapezoidal channel is needed for a location where the bed
slope is 0.008 ft/ft, discharge is 150 cfs, and the soil is
alluvial silt, colloidal. Design a trapezoidal channel with 3:1
side slopes that will meet the limiting velocity if the flow is
clear water. Use the information in the limiting velocity table
that was distributed in the April 22 class notes.
Gravity: g ൌ 32.2 ft/sec2 Unit weight of water: ? ൌ 62.4 ??/??ଷ
Density of water: ?...

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