FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 13, Problem 41CP
To determine
The best length for the hydraulic cross-section of a trapezoidal open channel.
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Students have asked these similar questions
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
The best hydraulic cross section for a rectangular open channel is one whose fluid height is (a) half, (b) twice, (c) equal to, or (d) one-third the channel width.
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+APPS
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
- An overflow masonry dam is to be constructed across a stream. The stream is estimated to have a maximum flood discharge of 850 m3/s when the elevation of the water surface at the dam site is 345m. Six sluice gates each 2.4m x 1.8m wide (C= 0.75) are to be constructed in the dam with their sill at elevation 342m. The main overflow weir for which C = 1.45 will be 60 m long with a crest elevation of 360m. An Auxiliary weir 180m long with a crest elevation of 361m will operate during the floods. For this weir, C = 1.85. With all sluice gates open and when the discharge is 850m3/s, neglecting velocity of approach, a. Determine the discharge of the auxiliary weir. b. Determine the discharge of the main weir. c. Determine the discharge of the sluice gates.arrow_forwardConsider a rectangular channel 3 m wide laid on a 1°slope. If the water depth is 2 m, the hydraulic radius is(a) 0.43 m, (b) 0.6 m, (c) 0.86 m, (d ) 1.0 m, (e) 1.2 marrow_forwardA trapezoidal channel transports water to supply a township. The longitudinal bed slope is 0.0077. The cross-sectional shape of the canal is trapezoidal, with a 5.1 m wide bottom and 1V:2.5H sideslopes. The channel is lined with smooth concrete. The water discharge is 110 m/s. The critical flow depth is: a. 2.468 m b. 2.468 m C. Don't know d. 2.351 m e. 2.209 m f. 1.704 marrow_forward
- In a trapezoidal channel, if m=3, for the best hydraulic section, the ratio B=b/y should be equal:arrow_forwardDo 3,4arrow_forwardFor the channel of (Consider a rectangular channel 3 m wide laid on a 1°slope. If the water depth is 2 m, the hydraulic radius is), the most effi cient waterdepth (best fl ow for a given slope and resistance) is (a) 1 m,(b) 1.5 m, (c) 2 m, (d ) 2.5 m, (e) 3 marrow_forward
- If the channel (Consider a rectangular channel 3 m wide laid on a 1°slope. If the water depth is 2 m, the hydraulic radius is) is built of rubble cement(Manning’s n ≈ 0.020), what is the uniform fl ow ratewhen the water depth is 2 m?(a) 6 m3/s, (b) 18 m3/s, (c) 36 m3/s, (d ) 40 m3/s,(e) 53 m3/sarrow_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_forwardQ(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.arrow_forward
- Consider 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_forwardSteady flow in an open channel exists when the (a) channel is prismatic (b) depth does not change with time (c) channel is frictionless (d) channel bed is not curved.arrow_forwardWater flows in a rectangular open channel of width 0.6 m at a rate of 0.25 m3/s. If the flow depth is 0.2 m, what is the alternate flow depth if the character of flow were to change? (a) 0.2 m (b) 0.26 m (c) 0.35 m (d) 0.6 m (e) 0.8 marrow_forward
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