EBK WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119493167
Author: Mays
Publisher: VST
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Chapter 5, Problem 5.3.3P
To determine
The depth of flow 200 ft and 400 ft upstream of the obstruction and the distance of occurrence of the normal depth upstream.
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A grass-lined trapezoidal channel has a bottom width of 40.0 ft
with 4H:1V side slopes. The channel has a longitudinal slope of
0.0005 and a water depth of 15.0 ft. Compute the discharge rate
in the channel for a Manning's "n" value of 0.038.
A very long trapezoidal channel has a bottom width of 18 ft, side slope of 2, longitudinal bottom slope of 0.01, Manning roughness factor of 0.020, and it carries 800 cfs. The normal depth is 9.25 ft and the critical depth is 3.45 ft. The flow depth at a section along this channel is 3.70 ft. The flow depth 10 ft upstream is most likely to be
Select one:
a. 5.20 ft
b. 3.79 ft
c. 3.45 ft
d. 3.61 ft
A lined rectangular channel with Manning'sn
= 0.015 is 5 m wide and has a flow depth of
2m with the bed slope of 1 in 1600. Retaining
the rectangular shape of channel section and
the same total area of lining, to what maximum
extent can the discharge be increased without
changing the bed slope? Does the flow change
from sub critical to super critical state by this
increase in discharge.
Chapter 5 Solutions
EBK WATER RESOURCES ENGINEERING
Ch. 5 - Prob. 5.1.1PCh. 5 - Prob. 5.1.2PCh. 5 - Prob. 5.1.3PCh. 5 - Prob. 5.1.4PCh. 5 - Prob. 5.1.5PCh. 5 - Prob. 5.1.6PCh. 5 - Prob. 5.1.7PCh. 5 - Prob. 5.1.8PCh. 5 - Prob. 5.1.9PCh. 5 - Prob. 5.2.1P
Ch. 5 - Prob. 5.2.2PCh. 5 - Prob. 5.3.1PCh. 5 - Prob. 5.3.2PCh. 5 - Prob. 5.3.3PCh. 5 - Prob. 5.3.4PCh. 5 - Prob. 5.3.5PCh. 5 - Prob. 5.3.6PCh. 5 - Prob. 5.4.1PCh. 5 - Prob. 5.4.2PCh. 5 - Prob. 5.5.1PCh. 5 - Prob. 5.5.2PCh. 5 - Prob. 5.5.3PCh. 5 - Prob. 5.5.4PCh. 5 - Prob. 5.5.5PCh. 5 - Prob. 5.5.6P
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- A rectangular channel with a bottom width of 4.0m and a bottom slope of 0.0008 has a discharge of 1.5m3/sec.In a GVF in this channel,the depth at a certain location is found to be 0.3 m.Assuming n=0.016, determine type of GVF profile.arrow_forwardQle: A flow rate of 0.4m ^ 3 /sec is to be carried in an open channel at a velocity of 1.5 m/sec. If the channel cross section is trapezoidal with water depth equal to the width of the channel bottom and side slope of 1:1. Manning roughness coefficient is 0.03. Determine: a) The bottom width b) The channel bed slopearrow_forward(a) A trapezoidal channel has a bottom width of Bw = 10 m and 1 vertical to z=2m horizontal. The channel has a slope of 0.0001 and a Manning's roughness of n = 0.0501. If the uniform flow depth is yn = 7m what is the discharge in the channel? (b) Compute the critical depth (yc) for this trapezoidal channel given discharge from (a)arrow_forward
- Water is flowing uniformly with a discharge of 22.6 m³/s and flow depth of 2.3 m in a rectangular open channel of width 4 m. At one section, the channel is to be constricted. If the channel width at constriction is 2.8 m, calculate the flow depth at the constriction and also the alternate depths. Meanwhile, what will happen if the channel width at constriction is 3.6 m? Determine the flow depths at just upstream and downstream of the constriction as well as the flow depth at the constriction section. Please give right answer onlyarrow_forwardA trapezoidal open-channel has a bottom width of 30 ft and side slopes of 2:1 (H:V). The channel is paved with a concrete surface. If the channel is laid on a slope of 0.0001 and carries a uniform flow at a depth of 6 ft, determine: a) the discharge (flowrate) in ft3/s. b) the state of the flow (critical, subcritical, super critical)?arrow_forwardWater in a 6-m-wide rectangular channel flows at a rate of 4 m³/s at a depth of 0.6 m. (a) What is the velocity (m/s) of flow upstream of the hump? (b) Is the flow (0.6 m-depth) super-critical or sub-critical? Compute the Froude number. (c) What is the critical depth, Yc (m)? (d) What should be the height, YH (m), of the hump to be installed if we want critical depth to occur? Yc 0.6 m HUMP Profile of channel YHarrow_forward
- In a 3.0 m wide open rectangular channel, the flow rate is (1158) lt/sec flows. The depth of the channel is 2.9 m. At a downstream section, there is constriction with a width of 2.50 m and a 0.20 m bump on the bottom. Calculate the water depths of both upstream and downstream.arrow_forwardPROBLEM 6 Water in a 6-m-wide rectangular channel flows at a rate of 4 m³/s at a depth of 0.6 m. (a) What is the velocity (m/s) of flow upstream of the hump? (b) Is the flow (0.6 m-depth) super-critical or sub-critical? Compute the Froude number. (c) What is the critical depth, Y. (m)? (d) What should be the height, YH (m), of the hump to be installed if we want critical depth to occur? Yc 0.6 m HUMP Profile of channel YHarrow_forwardUniform flow occur in a 12-m-wide rectangular channel having a bed slope of 0.0021 and n = 0.019 at a depth of 1m. If a partial closure of gate near the exit raises the level at that by 0.50 m, how far upstream is the point where the depth of flow is 1.25 m?arrow_forward
- This is a four-part problem. A trapezoidal channel of 3.5:1 side slope and 4 ft bottom width, discharges a flow of 300 cfs. Use a channel slope is 2% and the Manning coefficient is 0.012. Part A. Determine the flow depth in ft. Part B. Determine the water velocity in fps. Part C. Determine the critical flow depth in ft. Part D. Determine the flow classification.arrow_forwardA trapeziodal channel lined with grass (n = 0.027) has a bottom width of 4.25 feet, side slopes of 2 horizontal to 1 vertical, and a slope of 1.1 percent. Water is flowing at a depth of 2.35 feet. a) what is the discharge? b) what is the velocity?arrow_forward2) b) A concrete lined trapezoidal channel with uniform flow has a normal depth of flow of 2.0 m. The base width of the channel is 5.0 m, side slopes 1:2 and has a slope of 0.001. Taking Manning n = 0.015, find: i) Discharge, Q ii) Mean Velocity, V iii) Reynolds Number Re iv) Conveyance, K 14.5 15.0 14.5 1 region 2 region 1 region 3 3. 4 10 10 2 All dimensions are in m Figure 2 - Question 3arrow_forward
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