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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Question
Chapter 13, Problem 138P
To determine
The manning coefficient of the channel.
The Froude number.
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Water 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
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Rate of discharge:
m3 s-1
Determine the most effi cient dimensions for a clay tilerectangular channel to carry 110,000 gal/min on a slopeof 0.002.
An 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
41
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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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
- 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_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_forwardThe head on a sharp-crested, rectangular weir was incorrectly observed to be 1.91 m. when it was actually 3.96 m. if the crest length is 4.57 meters, determine the percentage error (in percent) in the computed value of the flow rate Q. Use coefficient of discharge 0.945.arrow_forward
- EXERCISE 3: Water flows at a rate of q=3.13 m/s.m in a rectangular channel shown in the figure on the right. Ja0.00023 no0.015 • Determine the uniform flow depths and the types of flow in Ja 0.00762 Pe-0.015 different parts of the channel. Draw the water surface profile in the transition zone,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_forward7. A long triangular open channel with two different side slopes, these are: 2:1 and 3:1 (H: V). The Manning coefficient is 0.014. The longitudinal bed slope =0.004, this channel is converted to the best economic section by using the same amount of material at depth 1.5m in the old section. The old and new flow discharges in m3/s (respectively) are: 9.9 & 57.5 29.8 & 67.3 20.5 & 14.5 19.9 & 37.3 Nonearrow_forward
- Water flowing in a wide horizontal channel approaches a 20-cm-high bump with a velocity of 1.25 m/s and a flow depth of 1.8 m. Determine the velocity, flow depth, and Froude number over the bump.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_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
- 1arrow_forward3. The daily streamflow data of a river for a drainage area of 5,810 km are given in table below. Determine the equivalent depth of the direct runoff by separating the baseflow. (Use recession curve method- N-0.8A) Time (days) Flow (m'/s) 1,600 1,550 5,000 11,300 8,600 6,500 5,000 3,800 Time (days) Flow (m/s) 2,800 2,200 1,850 1,600 1.330 1,300 1,280 9. 10 11 12 13 14 15 1234 n078arrow_forwardWater flows in a channel whose bottom slope is 0.002 and whose cross section is as shown. The dimensions and the Manning coefficients for the surfaces of different subsections are also given on the figure. Determine the flow rate through the channel and the effective Manning coefficient for the channel.arrow_forward
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