Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Textbook Question
Chapter 14, Problem 14.39PP
A rectangular channel
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On the trapezoidal finished-concrete channel shown below. Given y = 2.45ft,
B = 3ft, and angle 0 is 80, the Manning coefficient of finished- concrete is
0.012, bottom slope of channel is 0.00777. Use g = 32.2 ft/s?.
y
B
Find the cross-sectional area of the channel,A.
Find the Hydraulic radius (R).
Find the Hydraulic depth (D)
Find the velocity in the channel (v).
Determine the flow rate (Q).
Q(1): A power canal of trapezoidal section has to be excavated through hard clay at least
cost. Determine the dimensions of the channel, given, discharge equal to 14 m3/s, bed
slope 1:2500 and Manning's n = 0.02.
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
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- An 8-foot wide rectangular channel carries 200 cubic feet per second of water at a depth of 1.5 feet before entering a hydraulic jump. The water depth downstream of the jump is most nearly: A. 2.4 ft B. 2.7 ft C. 3.4 ft D. 4.4 ftarrow_forwarda. A stream 24 m wide carries 1.84 m³ /s of water. Determine the resulting head over a Cipolletti weir 1 m high and 4m long.arrow_forwardFor the channel shown, the top water width is y 45° 45° B B-2y .a O B-y .b O B+2y .c O None of these .d oarrow_forward
- Determine the most effi cient dimensions for a clay tilerectangular channel to carry 110,000 gal/min on a slopeof 0.002.arrow_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_forwardQ5/The normal depth of flow in a rectangular channel (2 m deep and 5 m wide) is 1 m. It is laid to a slope of 1 m/km with a Manning's n = 0.02. Some distance downstream there is a hump of height 0.5 m on the stream bed. Determine the depth of flow (y1) immediately upstream of the hump. Answer: y1 = 1.27 marrow_forward
- Question 1 Find the conjugate depth of a hydraulic jump in a horizontal channel if the upstream depth is 0.8 m and the velocity of the flow is 8 m/s.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_forwardFor an open channel having a trapezoidal section, the most efficient is the one whose shape is that of semi-regular hexagon. If such channel carries 4 m3/s of water flowing at 50 cm/s, the base width in meters isarrow_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_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_forwardQ(3):A rectangular channel is to be dug in the rocky portion of a soil. Find its most economical cross-section if it is to convey 12 m3/s of water with an average velocity of 3 m/s. Take Chezy's constant C = 50.arrow_forward
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