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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 14.43PP
To determine
To find:
Maximum flow rate over a
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Determine the height of a rectangular
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Take Cd =0.6 and neglect end
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The bottom slope of a hydraulically optimum rectangular duct is 0.045 and the Manning friction coefficient is 0.025. If the height of the hydraulic jump formed in this channel is H = 3.5m; How many meters (m) are the energy losses due to the hydraulic jump?
Find the best hydraulic section for rectangular section of 0.5m3/s and 1.2m/s
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 has a width of 3 m. If the discharge flowing in the canal is 2.1 m^3/s and coefficient of roughness n = 0.015, compute the critical slope.arrow_forwardDetermine the discharge, in L/s, over the weir having a head of 0.30 m if a trapezoidal weir with sides inclined 14.04 degre of crest of 2 m. Hint: get first the head over the weir from the geometry of the weir. Select the correct response: 69 587arrow_forwardA contacted weir is to be built in a rectangular channel 3m wide dis haring a quantity of 225 li/sec. What length and crest height should the weir have in order that the head shall not ex eed 200 mm or the water depth behind the weir is 900 mm. Use Francis formulaarrow_forward
- A channel has a slope of 0.0004 m/m with n=0.015. It is expected that the channel will be able to carry a flow rate of 50 m3/s. Determine the normal depth, critical depth, critical slope,hydraulic radius, top width, velocity head, specific energy and the state of flow if the channel section is trapezoidal and its base width is 3.056 m. The side walls make an angle of 45 with horizontal level. Take ρ=1000 kg/m3 and g = 9.81 m/s2 Froude Number is estimated from F(r^2)=(V^2)T/g(A^3)arrow_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_forwardA 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. Please read the question carefully and provide the correct solution with simple steps fast. Please answer quickly.arrow_forward
- A 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_forwardWater 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.arrow_forwardA sharp-crested triangular weir with a notch angle of 80° is used to measure the discharge rate of water from a large lake into a spillway. If a weir with half the notch angle (? = 40°) is used instead, determine the percent reduction in the flow rate. Assume the water depth in the lake and the weir discharge coefficient remain unchanged.arrow_forward
- 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/secarrow_forwardWrite relation of weir structure with flow rate.arrow_forwardIn a trapezoidal channel, if m=3, for the best hydraulic section, the ratio B=b/y should be equal:arrow_forward
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