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 14.50PP
To determine
The head corresponding to minimum and maximum flow and flow rate for five heads equally spaced between minimum and maximum heads.
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7.5 m
-2.0 m
6.0 m
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1.0 m wide weir
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The surge tank pictured (shown with clear sides for illustration purposes)
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Uniform water flow in a wide brick channel (n=0.015) of slope of 0.020 moves over a 10-cm bump as in Fig. 7a. A slight depression in water surface results. If the minimum water depth over the bump is 50 cm, compute the velocity over the bump and the flow rate per meter of width.
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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 small stream has a trapezoidal cross- section with base width of 12 m and side slope 2 horizontal: 1 vertical in a reach 8 km. During the high water levels record at the ends of the reach are as follows Section elevation of bed (m) water surface elevation (m) remarks Upstream 100.20 102.70 Manning's n=0.030 Downstream 98.60 101.30 Estimate the discharge in the stream.arrow_forward1. A test measurement of flow over a standard weir 1.0 ft high in a flume 1.996 ft wide at a head of 0.5171 ft showed a total volume of 941.4 cu. ft. of water discharged in 362.3 sec. Assuming this measurement of flow to be correct, compute the percentage error in the discharge computed by each of the weir equations.arrow_forward4. The discharge from a 150 mm diameter orifice under a head of 3.05m and coefficient of discharge, C = 0.60 flows into a rectangular channel and over a rectangular suppressed weir. The channel is 1.83m wide and the weir has height, P = 1,50m and length, L = 0.31m. Determine the depth of water in the channel. Use Francis formula and neglect velocity of approach.arrow_forward
- Water flows over a spillway of a dam. At the bottom of the spillway, water flows into a rectangular concrete-finished channel (width - 50 ft) with a slope of 0.005. Let n-0.0206. 2.5 ft d, - 2.9 ft a) Calculate the velocity in the channel at the section where the depth is 2.9 ft. Use Manning's equation. (15) b) Determine Froude number at the section where the depth is 2.9 ft and classify the flow. (15) c) Classify the flow where the depth is 2.5 ft and prove your classification. (15) d) What do you expect the flow to be at depth d2 (just an educated guess)? (5)arrow_forwardAn irrigation channel of trapezoidal section, having side slopes 3 horizontal to 2 vertical, is to carry flow of 10 cumec on a longitudinal slope of 1 in 5000. The channel is to be lined for which the value of friction coefficient in Manning's formula is n = 0.012. Find the dimensions of the most economic section of the channel.arrow_forwardA suppressed weir is under a head of 1.65m. The weir is 2.5m long and has a height of 4.5m. What is the flow rate in ?3/? of water over the weir?arrow_forward
- Question : A stream bed has a rectangular cross section 5 meters wide and a slope of 0.0002 m/m. The flow rate in the stream is 8.75 m³/s. A dam is built across the stream, causing the water surface to rise to 2.5 meters just upstream of the dam, as shown below. Assume n = 0.015. y = yn 2.5 m a. Find the normal depth, yn, corresponding to this flow rate and channel geometry. You do not need to solve the equation by hand. To get full credit, show your equation with only one unknown. b. Find the critical depth, yc. c. The yn is found to be 1.8 m by solving the equation numerically. Identify the water surface profile upstream of the dam. Explain your answer for full credit.arrow_forward2. Four reservoirs connection is shown below. Determine the discharges in each pipe using Manning's Equation withn = 0.012. Draw the final hydraulic gradient line (HGL). Diameter of pipe (m) Length of pipe (m) 1500 800 Pipe AX 0.30 BX 0.25 XY CY 400 0.30 500 0.20 DY 1600 0.20 WS ELEV. = 300 m wS ELEV. = 150 m WS ELEV. = 100 m ELEV. = 75 m WS D. Yarrow_forwardProblem 4: Water flow rate in an open channel is measured using a right angled V notch. The head of water over V notch is 0.15 m. Assuming the coefficient of discharge of the notch as 0.65, calculate the discharge in the channel. Ans: Q= 0.0134 m³/ sec.arrow_forward
- 4. Find the width, in meters, of the channel at the back of a suppressed weir using the following data: H= 28.5cm d= 2.485m Q = 0.84m/s Consider velocity of approach.arrow_forwardA hydraulic jump is shown in figure below. The depth of flow z₂ after the hydraulic jump is 5 m larger than z₁. The total flow rate in the channel is 450 m³/s and the channel width is 50 m. The length / over which the jump occurs is 0.4 m. ax= If the depth, z₁, is 6 m then what is the average acceleration (ing's) of the liquid as is flows across the jump. 0.21 Hydraulic jump g's V₂arrow_forwardA rectangular notch of length 1.2 m is fitted in a channel. The head of water over the notch is 450 mm. If same flow passes over triangular notch of crest angle 60°, find head over it Take Ca 0.6 for both notches.arrow_forward
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