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 14.45PP
To determine
To plot:
Graph of discharge versus head for a full-width weir.
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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.
7.5 m
-2.0 m
6.0 m
h
where b = weir width (m) 2
g = gravitational acceleration (m/s)
h = height of water above the weir edge (m)
2.0 m
1.0 m wide weir
water flows
out through
this opening
The surge tank pictured (shown with clear sides for illustration purposes)
is used to even out variable flows. During periods of high flow, excess
water is diverted to the surge tank where it flows out more slowly over
the weir. The volumetric flow over the weir is
V = 0.011 * b* g¹/2h³/2
Assuming no excess flow is currently being diverted to the surge tank,
determine the time required for the water level in the tank to become 6.25
m if the initial height is 7.5 m
Flow is being measured by a Parshall flume with the following dimensions:
A 1830 mm. 1B= 1795 mm.C I500 mm, D 1935 mm, throat width
depth at the thsroat 500 mmn. The flume is constructed to.carry a 113 m3/min of wastewater.
1 Calculate the water deptih in the converging section
2. Draw a plan and cross section of the flume
3. What is the total length of the flume?
1200 mm. water
IS
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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- 1Water flows through a rectangular sharp-crested weir with a channel width of 2 m. The channel depth is 1 m with a weir head of 0.1 m. Calculate the discharge. Make a sketch of the channel along with the weir piecesarrow_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_forwardIf a rectangular sharp-crested weir 1.25m long with no end contractions were to replace the triangular weir, what would be the required H in centimeters for a similar discharge? Use Francis formula.arrow_forward
- What are the most efficient dimensions for a half-hexagoncast iron channel to carry 15,000 gal/min on a slopeof 0.16°?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_forwardWater 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_forward
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- 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_forwardA constant head orifice from a tank feeds water into a flume (open channel) 5m in length and 500 mm wide with a rectangular contracted weir (L=200mm) at one end and close at the other end. The orifice diam is 80mm, coef of discharge= 0.92, and a head h=1m. c) Find the total time for the flow in the weir to stop after closing the supply of water from the orifice.arrow_forward2.Water flows through a rectangular channel with a width b = 2 m and a height (Pw) = 1 m, the flow rate ranges from Qmin = 0.02 m^3/s and Qmax = 0.60 m^3/s. This flow rate is measured using Rectangular sharp-crested weir Triangular sharp-crested with = 90^o Broad-crested weir Plot onto the graph Q = Q(H) for each type of weir and give your analysis which type of weir is most appropriate to applyarrow_forward
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