Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 13, Problem 93CP
To determine
The basic principle of operation of a broad-crested weir.
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CCB 343 –HYDRAULICS
Tutorial Questions, February 2021
1. A sluice gate is used to control and measure the discharge in an open channel. When the
upstream and downstream water depths are 1.0 m and 0.2 m respectively, calculate the
discharge in the channel
[0.81 m'/s/m width]
2. A rectangular concrete-lined channel of width 2.5 m and depth 0.5 m has a slope of 1 in
Try calculating the
[0.94m/s].
2000. If the Manning's n value is 0.015, calculate the discharge.
discharge using the Chezy equation with C = 70.
3. A hydraulic jump is to be formed in a channel carrying a discharge of 0.8 m/s/m width
of channel with a depth of flow of 0.25 m. Calculate the depth required downstream to
create the jump.
[0.61 m]
4. A river is 30 m wide and has a rectangular shape. At a bridge location the flow width is
restricted to 25 m by the piers of the bridge and the river bed is approximately horizontal.
Describe the flow which obtains underneath the bridge with minimum upstream depth
when a flood of 450…
What are the most efficient dimensions for a half-hexagoncast iron channel to carry 15,000 gal/min on a slopeof 0.16°?
1. Determine the depth (yo), bearing area (A), and wet circumference (P) of a trapezoidal
shaped channel with the following known data
mi = 2,5
m2 = 3,5
b = 5,5 m
1.
mi
Q = 24,5 m³/s
m2
n= 0,014
So = 0,0003
%3D
Chapter 13 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 13 - What is the driving force for flow in an open...Ch. 13 - How does open-channel flow differ from internal...Ch. 13 - Prob. 3CPCh. 13 - Prob. 4CPCh. 13 - What is normal depth? Explain how it is...Ch. 13 - How does uniform flow differ from nonuniform flow...Ch. 13 - Prob. 7CPCh. 13 - Prob. 8CPCh. 13 - Prob. 9CPCh. 13 - Prob. 10CP
Ch. 13 - Prob. 11CPCh. 13 - Water at 20°C flows in a partially full...Ch. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Water at 10°C flows in a 3-rn-diameter circular...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20CPCh. 13 - Prob. 21CPCh. 13 - Prob. 22CPCh. 13 - Prob. 23CPCh. 13 - Prob. 24CPCh. 13 - Prob. 25CPCh. 13 - Consider steady supercritical flow of water...Ch. 13 - During steady and uniform flow through an open...Ch. 13 - How is the friction slope defined? Under what...Ch. 13 - Prob. 29PCh. 13 - Prob. 30EPCh. 13 - Prob. 31EPCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38CPCh. 13 - Which is the best hydraulic cross section for an...Ch. 13 - Prob. 40CPCh. 13 - Prob. 41CPCh. 13 - Prob. 42CPCh. 13 - Prob. 43CPCh. 13 - Prob. 44CPCh. 13 - Prob. 45PCh. 13 - A 3-ft-diameter semicircular channel made of...Ch. 13 - A trapezoidal channel with a bottom width of 6 m....Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Water is to be transported n a cast iron...Ch. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 58EPCh. 13 - Prob. 59EPCh. 13 - Prob. 60PCh. 13 - Repeat Prob. 13-60 for a weedy excavated earth...Ch. 13 - Prob. 62PCh. 13 - During uniform flow n open channels, the flow...Ch. 13 - Prob. 64PCh. 13 - Is it possible for subcritical flow to undergo a...Ch. 13 - How does nonuniform or varied flow differ from...Ch. 13 - Prob. 67CPCh. 13 - Consider steady flow of water; an upward-sloped...Ch. 13 - How does gradually varied flow (GVF) differ from...Ch. 13 - Why is the hydraulic jump sometimes used to...Ch. 13 - Consider steady flow of water in a horizontal...Ch. 13 - Consider steady flow of water in a downward-sloped...Ch. 13 - Prob. 73CPCh. 13 - Prob. 74CPCh. 13 - Water is flowing in a 90° V-shaped cast iron...Ch. 13 - Prob. 76PCh. 13 - Consider the flow of water through a l2-ft-wde...Ch. 13 - Prob. 78PCh. 13 - Prob. 79PCh. 13 - Prob. 80PCh. 13 - Prob. 81EPCh. 13 - Water flowing in a wide horizontal channel at a...Ch. 13 - Water discharging into a 9-m-wide rectangular...Ch. 13 - During a hydraulic jump in a wide channel, the...Ch. 13 - Prob. 92PCh. 13 - Prob. 93CPCh. 13 - Prob. 94CPCh. 13 - Prob. 95CPCh. 13 - Prob. 96CPCh. 13 - Prob. 97CPCh. 13 - Prob. 98CPCh. 13 - Consider uniform water flow in a wide rectangular...Ch. 13 - Prob. 100PCh. 13 - Prob. 101PCh. 13 - Prob. 102EPCh. 13 - Prob. 103PCh. 13 - Prob. 104PCh. 13 - Prob. 105PCh. 13 - Prob. 106EPCh. 13 - Prob. 107EPCh. 13 - Prob. 108PCh. 13 - Prob. 109PCh. 13 - Prob. 111PCh. 13 - Repeat Prob. 13-111 for an upstream flow depth of...Ch. 13 - Prob. 113PCh. 13 - Prob. 114PCh. 13 - Repeat Prob. 13-114 for an upstream flow depth of...Ch. 13 - Prob. 116PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - Water flows in a canal at an average velocity of 6...Ch. 13 - Prob. 122PCh. 13 - A trapczoda1 channel with brick lining has a...Ch. 13 - Prob. 124PCh. 13 - A rectangular channel with a bottom width of 7 m...Ch. 13 - Prob. 126PCh. 13 - Prob. 128PCh. 13 - Prob. 129PCh. 13 - Consider o identical channels, one rectangular of...Ch. 13 - The flow rate of water in a 6-m-ide rectangular...Ch. 13 - Prob. 132EPCh. 13 - Prob. 133EPCh. 13 - Consider two identical 15-ft-wide rectangular...Ch. 13 - Prob. 138PCh. 13 - Prob. 139PCh. 13 - A sluice gate with free outflow is used to control...Ch. 13 - Prob. 141PCh. 13 - Prob. 142PCh. 13 - Repeat Prob. 13-142 for a velocity of 3.2 ms after...Ch. 13 - Water is discharged from a 5-rn-deep lake into a...Ch. 13 - Prob. 145PCh. 13 - Prob. 146PCh. 13 - Prob. 147PCh. 13 - Prob. 148PCh. 13 - Prob. 149PCh. 13 - Prob. 150PCh. 13 - Prob. 151PCh. 13 - Prob. 152PCh. 13 - Water f1ows in a rectangular open channel of width...Ch. 13 - Prob. 154PCh. 13 - Prob. 155PCh. 13 - Prob. 156PCh. 13 - Prob. 157PCh. 13 - Prob. 158PCh. 13 - Prob. 159PCh. 13 - Prob. 160PCh. 13 - Prob. 161PCh. 13 - Prob. 162PCh. 13 - Prob. 163PCh. 13 - Prob. 164PCh. 13 - Prob. 165PCh. 13 - Consider water flow in the range of 10 to 15 m3/s...
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- 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_forwardAn irrigation channel is to carry a discharge of 14 cumec with a velocity of 0.9 m/s and bed slope of 1 in 2500. The side slopes are 1 to 1. Find the depth and bottom width. The values of Chezy" C for this channel for different values of hydraulic radius R are as tabulated below. Hydraulic radius R 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 Chezy's C 34 35 37 38 39 40 41 41arrow_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
- 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_forwardWater flows through an open channel of hydraulic diameter 2.30 m, whose wetted perimeter is 7.00 m. The slope is 0.0130, and the Chézy coefficient is 5.00 m0.5 s-1. (a) Calculate the hydraulic radius. Give your answer in m, to 3 significant figures. (2 mark) Hydraulic radius: (b) Calculate the velocity of the water flow. Give your answer in ms1, to 3 significant figures. (4 marks) Flow velocity: m s-1 (c) Calculate the rate of discharge of the flowing water. Give your answer in cubic metres per second (m³ s-1), to 3 significant figures. (4 marks) Rate of discharge: m3 s-1arrow_forwardWhat are the best dimensions for a rectangular brick channel (n=0.015) designed to carry 5 m°/s of water in uniform flow with S. =0.001?arrow_forward
- b) The trapezoidal channel of Figure 6 is made of brick work and slopes at 1:500. Using Manning equation, Determine the flow rate if the normal depth is 80 cm. 30° 30° 2 m Figure 6 Trapezoidal channelarrow_forward10. The flow rate in a 3-m wide rectangular channel on a slope of 2 percent is 11 m/s. The Manning's roughness coefficient is 0.013. A 3-m wide 1.500-m high broad-crested weir is at the downstream end of the channel. The discharge equation for the weir is, Ca(2g)06LH15 %3D discharge (m/s) discharge coefficient, 0.38 gravitational acceleration (m/s?) length of the weir (m) head on the weir (m) %3D %3D %3D %3D H. Determine the type of surface profile upstream from the weir. Using the direct step method, analyse in one step the profile upstream from the weir. (yn = 0.595 m, hydraulic jump, 72.7 m to the hydraulic jump)arrow_forward2) A venturi flume is placed near the middle of a long rectangular channel with Manning's coefficient n= 0.012 m s. The channel has a width of 5 m, a discharge of 12.5 m's" and a slope of 1:2500. (a) Determine the critical depth and the normal depth in the main channel. (b) Determine the venturi flume width which will just make the flow critical at the contraction. (c) If the contraction width is 2 m find the depths just upstream, downstream and at the throat of the venturi flume (neglecting friction in this short section). (d) Sketch the surface profile.arrow_forward
- Most efficient weir of weirs used in laboratory.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_forwardH.W. No.1 2nd semester Q-1: Given ; b= base width =14.5m, Flow depth=1.71m, channel longitudinal slope=S= 1:1175.5, n=0.0218. Find; Top width=T, Flow area =A, Wetted perimeter= P, Hydraulic radius= R, Flow velocity=V, and Q= Flow rate or discharge, T V= 4 y 2=V H or Z=10 4 =H or Z Answers are given below, solve and check. Send your detail solution with drawing. Top width=T= 22.1950m P=22.928m , Hydraulic radius=R= 1.3684m , Flow velocity=V= 0.5215m/sec, Q= Flow or discharge= 16.361m³/sec. Flow area =A = 32.374m², Wetted perimeter= Solve and send your detail solution Q-2. If discharge Q=6.9134 m³/sec, left side slope 5:3(H:V), Left side slope= 6:3, bed slope 2:8250, flow depth=y=1.8m, Bed width=b=10.55m. Find. Top width=T, Flow area =A, Wetted perimeter= P, Hydraulic radius= R, and Flow velocity=V. Draw and put all dimensions.arrow_forward
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