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 119P
To determine
The volume flow rate.
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A rectangular channel is 3m wide and has a depth of flow of 1.5m. The channel roughness can be assumed to be 0.015 and the bed slope is 0.001. Calculate
The height by which the bed should be raised to just produce critical depth
The width by which the bed should be narrowed to just produce critical depth
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 trapezoidal channel having a bottom slope of 0.001 is carrying a flow of 30 m/s. The bottom width is 10.0 m and the side slopes are 2H to 1V. A control structure is built at the downstream end which raises the water depth at the downstream end to 5.0 m. Compute the water surface profile till 1.20 m. Manning n is 0.013 and a = 1. Select an appropriate Month for your calculations.
Please read the question carefully and provide the correct solution with simple steps fast. Please answer quickly.
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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- 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_forwardA compound channel is designed with a semi-circular and a rectangular channel attached to it. Calculate the depth of flow through the cross section of a channel shown in Figure 1where the bed slope, S, is given as 0.005 and having the discharge, Q of 22 m'/s. Take the value of Manning's roughness coefficient as 0.012. 0.75 m 1.5 m 2 m 2 m Figure 1 (Not to scale)arrow_forwardWater flows at a steady and uniform depth of 2 m in an open channel of rectangular crosssection having a base width equal to 5 m and laid at a slope of 1 in 1000. It is desired to obtain critical flow in the channel by providing a hump in the bed. Calculate the height of the hump and sketch the flow profile. Consider the value of Manning’s roughness coefficient n =0.02 for the channel surface.arrow_forward
- A circular corrugated-metal water channel has a slope of1:800 and a diameter of 6 ft. (a) Estimate the normal discharge,in gal/min, when the water depth is 4 ft. (b) For thiscondition, calculate the average wall shear stress.arrow_forwardA rectangular channel is 2 m wide and contains water 3 mdeep. If the slope is 0.85° and the lining is corrugatedmetal, estimate the discharge for uniform fl ow.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 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_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_forwardIn flowing from section (1) to section (2) along a rectangular open channel, the water depth decreases by a factor of three and the Froude number changes from a subcritical value of 0.7 to a supercritical value of 3.4. Determine the channel width at (2) if it is 8 ft. wide at section (1). Assume stead-state flow.arrow_forward
- For an open channel having a trapezoidal section, the most efficient is the one whose shape is that of semi-regular hexagon. If such channel carries 4 m3/s of water flowing at 50 cm/s, the base width in meters isarrow_forwardFind 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 = 55arrow_forwardQUESTION 2 At a certain location in Durban, under normal conditions the water flows uniformly in a finished-concrete rectangular channel. During the recent floods' conditions, the overflow regions consisting of light brush was observed to increase the flow rate by 45%. Estimate the depth D if the bottom slope of the channel is 0.1°. D 1.5 m -5 m -5 m 2 m Figure 1arrow_forward
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