WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.1.6P
To determine
The discharge in the trapezoidal channel.
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A trapezoidal channel having a bottom slope of 0.001 is carrying a flow of 30 m³/s. The bottom
width is 10.0 m and the side slopes are 2H to 1V. A control structure is built at the downstream end
which raises the water depth at the downstream end to 5.0 m. Compute the water surface profile
till 1.20 m. Manning n is 0.013 and a = 1. Select an appropriate Ay for your calculations.
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 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.
Chapter 5 Solutions
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. Design a trapezoidal channel to carry a discharge of 10.5 m^3/s. The bottom slop of the channel is 0.0035. Also the flow depth is half of the channel bottom width. Take roughness coefficient as 0.025 and side slop as 1H to 4V. B. Based on the given information and your results in part A, compute the state of flowarrow_forwardThis 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_forward
- 2) 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_forwardcross-sectional area of the channel. 5. Refer to the following channel cross section. Normal depth is 1.50 feet. (a) What is the cross-sectional area of flow? (b) What is the wetted perimeter? (c) What is the hydraulic radius? -8.5'- 1.50' -2.5' 2.5'- -4.5'- 00ation ntion Normal denth is 3 0 fee O Cengage Learning 2014arrow_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
- Question 4 The flow rate in a wide rectangular channel is 5.0m³/sec/m. The channel bed slope is 0.0035. The manning's coefficient is 0.016. The slope of channel is classified as-arrow_forwardDesign a trapezodial channel to carry a discharge of 47.4^3/s. The bottom slip of this the channel is 0.0074. Also the flow depth is half of channel bottom width. Take roughness coefficient as 0.024 Andy side slop as 1 horizontal to 4 verticals. B. Based on the given information and your results in part A, compute the state of flowarrow_forwardA 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.arrow_forward
- Determine the normal depth in a triangular channel with bed slope of 0.0005, n = 0.013 and central angle of 90° if it carries a discharge of 2.2 m³s-¹.arrow_forwardA 1 m wide rectangular channel has a bed slope of 0.0016 and the Manning's roughness coefficient is 0.04. Uniform flow takes place in the channel at a flow depth of 0.5 m. At a particular section, gradually varied flow GVF is observed and the flow depth is 0.6 m. Identify and classify the GVF profile at that section.arrow_forwardA flow of 30 m3 /s occurs in a trapezoidal channel having a base width of 3 m, side slopes 1 vertical to 2 horizontal. Determine the critical depth, yc.arrow_forward
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