FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 13, Problem 160P
To determine
The nature of the channel slope.
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Water 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 flow
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Consider 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 m
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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- Consider steady flow of water in a downwardsloped channel of rectangular cross section. If the flow is subcritical and the flow depth is greater than the normal depth (y > yn), the flow depth will (a) increase, (b) remain constant, or (c) decrease in the flow direction.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_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
- Consider steady flow of water in a downwardsloped channel of rectangular cross section. If the flow is subcritical and the flow depth is less than the normal depth (y < yn), the flow depth will (a) increase, (b) remain constant, or (c) decrease in the flow direction.arrow_forwardConsider uniform flow through a wide rectangular channel. If the bottom slope is increased, the flow depth will (a) increase, (b) decrease, or (c) remain constant.arrow_forwardConsider steady flow of water in a horizontal channel of rectangular cross section. If the flow is supercritical, the flow depth will (a) increase, (b) remain constant, or (c) decrease in the flow direction.arrow_forward
- 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.arrow_forwardA 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_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
- An 8-foot wide rectangular channel carries 200 cubic feet per second of water at a depth of 1.5 feet before entering a hydraulic jump. The water depth downstream of the jump is most nearly: A. 2.4 ft B. 2.7 ft C. 3.4 ft D. 4.4 ftarrow_forwardQUESTION 4 Water flows in a rectangular channel at a depth of y₁ = 0.2 m and a flow rate of 7.5 m³/s. A hydraulic jump is generated and the width of the channel is 4 m. Chezy's roughness constant for the channel is 56 SI units. Determine: 4.1 the depth downstream 4.2 the Froude number downstream 4.3 the head loss in the jump 4.4 the bed slopearrow_forwardDraw and label a hydraulic jump (in a channel of constant width). (a) Indicate regions of supercritical and subcritical flow. (b) What happens to Bernoulli’s constant through the jump? (c) Write down the relationship between the ratio of upstream and downstream water depths, and the upstream Froude number. (d) Derive a relationship between the ratio of upstream and downstream water depths, and the downstream Froude number. (e) A surge is moving at 5 m/s into an estuary of depth 1 m where the water is moving out to sea at 1 m/s. Find the water depth behind the surge.arrow_forward
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