c) Uniform flow in a steep rectangular channel occurs with a depth of 0.421m for a dischargeof 4 m'/s. Flow along this channel is interrupted by the presence of a hump in the channelbed.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 depthfor 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 ofthe resulting surge wave.(Channel data: b 3 m, n = 0.015, S. = 0.01, Az = 0.083 m).%3|9 = constantaI siÉslor (a) y, > y.. Ay A:(b) y, > y.. ay> A:(c) y, < ye. Ay > Az(d) y, < y. Ay 0

Answered: Image /qna-images/answer/1ecf7142-8d38-4d9e-a506-8db7db193cb5.jpg

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).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In a triangular channel, the critical depth for a discharge of 1.2 m³/s is 1.3 m. The critical depth. for a discharge of 38.4 m³/s through the same channel would be: (b) 2 1m
3. Water flows at a rate of 5 m3/s in a rectangular channel width of 10 m. The normal depth of flow in the channel is 5 m. If a sharp crested (suppressed) weir of height 5 m is installed across the channel, determine the new flow depth in the channel for the same flow rate. What would the flow depth be if the rectangular weir were contracted (on both sides) to a width if 7 m? What would the flow depth be if a 7 m wide Cippoletti weir is used?
Fluid.
A rectangular open channel 3 m wide, carries a discharge of 8 m³/s at a flow depth of 2 m. The critical velocity of flow is m/s.
Water flows in a horizontal, rectangular channel initially 10 feet wide and 2 feet deep. The initial velocity is 6 ft/s. This flow encounters downstream a simultaneous downward step and constriction. No energy losses are associated with these changes in channel configuration. a. What is the specific discharge, q: i. Upstream (for w= 10 feet)? ii. Downstream (for w = 6 feet)? b. What specific energy, E, is associated with the flow as initially specified (at the upstream location)? c. What is the minimum energy needed to pass the full discharge at the downstream location? d. What is the height (Az) of the smallest downward step necessary for the upstream flow conditions to remain as specified?
Determine critical depth
The discharge through a regime channel is 64 m³/s. The mean velocity of flow is 0.8 m/s. Find the hydraulic radius of the channel.
Answer urgently
(a) A uniform flow of 300 cfs occurs at a depth of 5 ft in a long rectangular channel 10 ft wide. Compute the minimum height of a flat-top hump that can be built on the floor of the channel in order to produce a critical depth. What will result (upstream and downstream) if the hump is lower or higher than the computed minimum height? (b) If the critical depth in Q# 2a is produced by a contraction of the channel, what will be the minimum contracted width? (c) A hydraulic jump is formed just downstream of a sluice gate located at the entrance of a channel. There is a constant-level lake upstream of the sluice gate. The flow depth and velocity in the channel downstream of the jump are 5.2 ft and 4.3 ft/sec, respectively. What is the lake level? Assume the losses for flow through the sluice gate is negligible.
A rectangular open channel of width 5.0 m is carrying a discharge of 100 m³/s. The Froude number of the flow is 0.8. What is the depth of flow (in m) in the channel.
Problem #4 Hydraulic JumpA hydraulic jump occurs in a rectangular channel 4.0 m wide. The water depth before the jump is0.4 m. If the flowrate is 20 m3/s, determine the depth after the jump and the critical depth at thejump.
A 3 metre wide rectangular channel flowing at its normal depth of 0.8m carries a discharge of 9.5m³/s. The bed slope of the channel is (a) steep (b) critical (c) mild (d) adverse