Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 14, Problem 14.25PP
To determine
Compute the depth and hydraulic radius for the range of designs. Also, plot the graph of width vs. depth and hydraulic radius
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Compute for the critical depth in a channel with constant spesific energy of 5cm in a channel with 2.5 width and flow of 2m/sec
A trapezoidal channel having a bottom slope of 0.001 is carrying a flow of 30 m/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 Month for your calculations.
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Water flows at a steady and uniform depth of 2 m in an open channel of rectangular crosssection having a base width equal to 5 m and laid at a slope of 1 in 1000. It is desired to obtain critical flow in the channel by providing a hump in the bed. Calculate the height of the hump and sketch the flow profile. Consider the value of Manning’s roughness coefficient n =0.02 for the channel surface.
Chapter 14 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 14 - Compute the hydraulic radius for a circular drain...Ch. 14 - A rectangular channel has a bottom width of 2.75...Ch. 14 - A drainage structure for an industrial park has a...Ch. 14 - Repeat Problem 14.3 lO if the side slope is 45Ch. 14 - Compute the hydraulic radius for a trapezoidal...Ch. 14 - Compute the hydraulic radius for the section shown...Ch. 14 - Repeat Problem 14.6 for a depth of 3.50 in.Ch. 14 - Compute the hydraulic radius for the channel shown...Ch. 14 - Compute the hydraulic radius for the channel shown...Ch. 14 - Water is flowing in a formed, unfinished concrete...
Ch. 14 - Determine the normal discharge for an aluminum...Ch. 14 - A circular culvert under a highway is 6 ft in...Ch. 14 - A wooden flume is being built to temporarily carry...Ch. 14 - A storm drainage channel in a city where heavy...Ch. 14 - Figure 14.21 represents the approximate shape of a...Ch. 14 - Calculate the depth of flow of water in a...Ch. 14 - Calculate the depth of flow in a trapezoidal...Ch. 14 - A rectangular channel must carry 2.0m3/s of water...Ch. 14 - The channel shown in Fig. 14.22 has a surface of...Ch. 14 - A square storage room is equipped with automatic...Ch. 14 - The flow from two of the troughs described in...Ch. 14 - For a rectangular channel with a bottom width of...Ch. 14 - It is desired to carry 2.00m3/s of water at a...Ch. 14 - For the channel designed in Problem 14.23, compute...Ch. 14 - Prob. 14.25PPCh. 14 - Prob. 14.26PPCh. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - For the channel described in Problem 14.27,...Ch. 14 - Repeat Problem 14.28, except that the channel is...Ch. 14 - A trapezoidal channel has a bottom width of 2.00...Ch. 14 - Prob. 14.31PPCh. 14 - Compute the flow area and hydraulic radius for a...Ch. 14 - Prob. 14.33PPCh. 14 - Prob. 14.34PPCh. 14 - Prob. 14.35PPCh. 14 - Prob. 14.36PPCh. 14 - Prob. 14.37PPCh. 14 - Prob. 14.38PPCh. 14 - A rectangular channel 2.00 m wide carries 5.5m3/s...Ch. 14 - Prob. 14.40PPCh. 14 - A triangular channel with side slopes having a...Ch. 14 - A trapezoidal channel with a bottom width of 3.0...Ch. 14 - Prob. 14.43PPCh. 14 - Determine the required length of a contracted weir...Ch. 14 - Prob. 14.45PPCh. 14 - Prob. 14.46PPCh. 14 - Compare the discharges over the following weirs...Ch. 14 - Prob. 14.48PPCh. 14 - For a Parshall flume with a throat width of 9 in,...Ch. 14 - Prob. 14.50PPCh. 14 - A flow rate of 50ft3/s falls within the range of...Ch. 14 - Prob. 14.52PPCh. 14 - A long-throated flume is installed in a...Ch. 14 - Prob. 14.54PPCh. 14 - Prob. 14.55PPCh. 14 - Prob. 14.56PPCh. 14 - Prob. 14.57PPCh. 14 - For a long-throated flume of design B in a...Ch. 14 - For a long-throated flume of design C in a...Ch. 14 - Prob. 14.60PPCh. 14 - Prob. 14.61PP
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- A rectangular channel is 3m wide and has a depth of flow of 1.5m. The channel roughness can be assumed to be 0.015 and the bed slope is 0.001. Calculate The height by which the bed should be raised to just produce critical depth The width by which the bed should be narrowed to just produce critical deptharrow_forwardA rectangular channel is 3.0 m wide and carries a discharge of 3.3 m³/s at a depth of 0.9 m. A smooth contraction of the channel width is proposed at a section. Find the smallest contracted width that will not affect the upstream flow conditions. Neglect the energy losses in the transition.arrow_forwardA compound channel is designed with a semi-circular and a rectangular channel attached to it. Calculate the depth of flow through the cross section of a channel shown in Figure 1where the bed slope, S, is given as 0.005 and having the discharge, Q of 22 m'/s. Take the value of Manning's roughness coefficient as 0.012. 0.75 m 1.5 m 2 m 2 m Figure 1 (Not to scale)arrow_forward
- Determine the height of a rectangular weir of length 5m to be built across a rectangular channel. The maximum depth of water on the upstream side of the weir is 1.5m and discharge is 1.5m^3 /sec Take Cd =0.6 and neglect end contractions.arrow_forwardThe radial gate used to control the flow at 2.5m wide rectangular channel. For a specific opening the discharge from this gate was 3.65-³/5. Find G for modular flow. use 8=20 and y₁=1.76m.arrow_forwardWater flows through a rectangular channel of 2 m wide. The depth of flow is 1 m and the total discharge is 4.0 m³/s. If the height of the channel bed above the datum is 2 m compute the specific energy and the total energy.arrow_forward
- Compute for the specific energy of a rectangular channel having a flow of 1.8 cubic meter/sec. The channel. Is 3 meters wide and 0.8 meters deep. Elevation of the channel bed is 15.28marrow_forwardConsider the uniform flow of water in the triangular channel shown in the figure. The channel bed slope is 0.003 and the roughness coefficient is 0.025. The flow rate in the channel is 25 m³/s. What is the normal depth? a.3.48 m b.2.28 m c.4.70 m d. 1.98 m What is the critical depth? a. 1.98 m b.4.70 m c.3.48 m d.2.28 m If the flow depth at a certain section of the channel is 2 m, the flow is: a.subcritical b.critical c.supercritical d.can not be determined VAI 2 1arrow_forwardProblem 1. A 4 m wide channel with a rectangular cross-section is carrying a flow with flow rate Q = 12 m³/s and specific energy E = 2.5 m. What are the possible flow depths of this flow and the corresponding velocities? Calculate the Froude number associated with each flow depth.arrow_forward
- Consider uniform water flow in a wide brick channel of slope 0.4°. Determine the range of flow depth for which the channel is classified as being steeparrow_forward5A trapezoidal channel carries a discharge of 2.5 m3 /s. Design the section if the slope is 1 in 1200 and the side slopes are 1 in 1. Use Chezy’s formula, C = 55. a. b = 1.154 m; y = 0.577 m b. b = 2.98 m; y = 2.58 m c. b = 0.9 m; y = 1.085 m d. b = 1.872 m; y = 3.12 marrow_forwardWater flows in an open channel across a weir which occupies the full width of the channel. The lenght of the weir is 0.5 m and the height of water over the weir is 100 mm. What is the flow rate of water?arrow_forward
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