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 56P
To determine
The discharge rate of water.
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Consider 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
1
A grass-lined roadside channel (n = 0.02) is triangular in shape with 30° side
slopes and a bottom slope of 0.006. Determine the normal depth of flow
when the discharge is 4.72 cfs (ft3/sec).
Answer:
Find the velocity of flow and rate of flow of water through a rectangular channel of 6 m wide and 3 m deep, when water is running full. The channel is having bed slope as 1 in 2000. Take Chezy’s constant C = 55
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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- The flow rate passing through a rectangular channel with a base width of 4 meters and a water depth of 2.75 meters is 30 m3/s. This channel is narrowed as shown in the figure. If two (2) sections have a base width of 2m, what is the water depth in section (1) in meters (m)?arrow_forwardWater is flowing uniformly in a rectangular open channel with unfinished-concrete surfaces. The channel width is 6 m, the flow depth is 2 m, and the bottom slope is 0.004. Determine if the channel should be classified as mild, critical, or steep for this flowarrow_forwardWater is flowing in an open channel at a depth of 2 m and breadthof 3 m and a velocity of 3 m/s. What is the flow rate at thechannel?arrow_forward
- A trapezoidal open-channel (n=0.015) has a side slope of 5H:2V and a bottom width of 2.5m. The flow depth is 1.5m when the slope is 0.002. Determine the volumetric flowrate.arrow_forwardThe water flows in the channel with a base slope of 0.003 and the cross-section shown in Figure 3. The dimensions of different subdivisions and the Manning coefficients for surfaces are also shown in the figure.a) calculate the volume flow flowing through the Channel.B) calculate the Manning coefficient.arrow_forwardUsing the geometry of Fig. prove that the most effi -cient circular open channel (maximum hydraulic radius fora given flow area) is a semicircle.arrow_forward
- The trapezoidal channel of Fig. is made of brickworkand slopes at 1:500. Determine the fl ow rate if thenormal depth is 80 cm.arrow_forwardA triangular open-channel (n=0.014) has a side slope of 4H:5V. The flow depth is 1.5m when the slope is 0.002. Determine the volumetric flowrate.arrow_forwardA trapezoidal channel has a base width of 8.3 m and side slopes that rise 1 m vertically for every 2 m horizontally. The depth of flow in the channel is 2.7 m, its gradient is 0.001 and the manning’s n is 0.035. Determine the mean velocity in the channelarrow_forward
- Read the question carefully and give me right solution with clear calculations. The hydraulic radius (m) for a circular pipe of diameter (D) behaving as open channel is given by - - - - - - -?arrow_forwardEXERCISE 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_forwardConsider water flow in a rectangular open channel of height 2 m and width 5 m containing water of depth 1 m. The hydraulic radius for this flow is(a) 0.71 m (b) 0.82 m (c) 0.94 m (d) 1.1 m (e) 1.3 marrow_forward
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