c) Uniform flow in a steep rectangular channel occurs with a depth of 0.421m for a discharge of 4 m/s. Flow along this channel is interrupted by the presence of a hump in the channel bed. i. Show that critical flow occurs over the hump. ii. If the flow in the channel above is suddenly reduced to 3 m³/s, and the normal depth for this discharge is 0.348m show that this depth of flow cannot be maintained. iii. Determine the new depth required to cross the hump and the speed of propagation of the resulting surge wave. (Channel data: b = 3 m, n = 0.015, So = 0.01, Az = 0.083 m).
c) Uniform flow in a steep rectangular channel occurs with a depth of 0.421m for a discharge of 4 m/s. Flow along this channel is interrupted by the presence of a hump in the channel bed. i. Show that critical flow occurs over the hump. ii. If the flow in the channel above is suddenly reduced to 3 m³/s, and the normal depth for this discharge is 0.348m show that this depth of flow cannot be maintained. iii. Determine the new depth required to cross the hump and the speed of propagation of the resulting surge wave. (Channel data: b = 3 m, n = 0.015, So = 0.01, Az = 0.083 m).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![c) Uniform flow in a steep rectangular channel occurs with a depth of 0.421m for a discharge
of 4 m'/s. Flow along this channel is interrupted by the presence of a hump in the channel
bed.
i. Show that critical flow occurs over the hump.
ii. If the flow in the channel above is suddenly reduced to 3 m/s, and the normal depth
for this discharge is 0.348m show that this depth of flow cannot be maintained.
iii. Determine the new depth required to cross the hump and the speed of propagation of
the resulting surge wave.
(Channel data: b 3 m, n = 0.015, S. = 0.01, Az = 0.083 m).
%3|
9 = constant
a
I si
És
lor (a) y, > y.. Ay A:
(b) y, > y.. ay> A:
(c) y, < ye. Ay > Az
(d) y, < y. Ay 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86375a3-e81f-4680-86db-ef397b66551e%2F1ecf7142-8d38-4d9e-a506-8db7db193cb5%2F7uj7uh7_processed.png&w=3840&q=75)
Transcribed Image Text:c) Uniform flow in a steep rectangular channel occurs with a depth of 0.421m for a discharge
of 4 m'/s. Flow along this channel is interrupted by the presence of a hump in the channel
bed.
i. Show that critical flow occurs over the hump.
ii. If the flow in the channel above is suddenly reduced to 3 m/s, and the normal depth
for this discharge is 0.348m show that this depth of flow cannot be maintained.
iii. Determine the new depth required to cross the hump and the speed of propagation of
the resulting surge wave.
(Channel data: b 3 m, n = 0.015, S. = 0.01, Az = 0.083 m).
%3|
9 = constant
a
I si
És
lor (a) y, > y.. Ay A:
(b) y, > y.. ay> A:
(c) y, < ye. Ay > Az
(d) y, < y. Ay 0
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