Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 13, Problem 99P
To determine
The effect on flow depth, when the fluid flows over the bump in a horizontal channel of constant width.
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Water flows in a rectangular channel with a width of 2.5 m. The kinetic energy correction coefficient (i.e. velocity coefficient) is estimated as a = 1.2. If the flow rate is 5 m³/s and the flow depth is 1.5 m:
(a) determine the specific energy of the flow.
(b) Calculate the alternate depth considering α = 1.0.
Water is to be transported in a cast iron rectangular channel with a bottom width of 6 ft at a rate of 70 ft3/s. The terrain is such that the channel bottom drops 2.1 ft per 1000 ft length. Determine the minimum height of the channel under uniform-flow conditions
The tank shown drains through a triangular weir whose
flowrate is described by the equation given. Determine the
time it will take for the tank to drain from completely full
(h = 5 ft) to 5.25 feet deep (h = 0.25 ft) assuming there is
no flow into the tank.
Volumetric Flowrate
h=5 ft
+
5 ft
3
ft³
S
= 2.48 h².5 (for h in feet)
10 ft
-20 ft-
-20 ft-
Chapter 13 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 13 - What is normal depth? Explain how it is...Ch. 13 - Prob. 2CPCh. 13 - Prob. 3CPCh. 13 - Prob. 4CPCh. 13 - What is the driving force for flow in an open...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. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15EPCh. 13 - Prob. 16PCh. 13 - Water at 10°C flows in a 3-rn-diameter circular...Ch. 13 - Prob. 18PCh. 13 - Water at 20°C flows in a partially full...Ch. 13 - Prob. 20CPCh. 13 - Prob. 21CPCh. 13 - Prob. 22CPCh. 13 - Prob. 23CPCh. 13 - Prob. 24CPCh. 13 - Prob. 25CPCh. 13 - Prob. 26CPCh. 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. 30PCh. 13 - Prob. 31PCh. 13 - Prob. 32EPCh. 13 - Prob. 33EPCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40CPCh. 13 - Prob. 41CPCh. 13 - Which is the best hydraulic cross section for an...Ch. 13 - Prob. 43CPCh. 13 - Prob. 44CPCh. 13 - Prob. 45CPCh. 13 - Prob. 46CPCh. 13 - Prob. 47PCh. 13 - Water flows uniformly half-full in a 2-m-diameter...Ch. 13 - Prob. 49PCh. 13 - A 3-ft-diameter semicircular channel made of...Ch. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Water is to be transported n a cast iron...Ch. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 64EPCh. 13 - Prob. 65EPCh. 13 - Prob. 66PCh. 13 - Repeat Prob. 13-60 for a weedy excavated earth...Ch. 13 - How does gradually varied flow (GVF) differ from...Ch. 13 - How does nonuniform or varied flow differ from...Ch. 13 - Prob. 70CPCh. 13 - Consider steady flow of water; an upward-sloped...Ch. 13 - Is it possible for subcritical flow to undergo a...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. 76CPCh. 13 - Prob. 77CPCh. 13 - Water is flowing in a 90° V-shaped cast iron...Ch. 13 - Prob. 79PCh. 13 - Consider the flow of water through a l2-ft-wde...Ch. 13 - Prob. 81PCh. 13 - Water discharging into a 9-m-wide rectangular...Ch. 13 - Prob. 83PCh. 13 - Prob. 84PCh. 13 - Prob. 85EPCh. 13 - Water flowing in a wide horizontal channel at a...Ch. 13 - During a hydraulic jump in a W'ide chanrel. the...Ch. 13 - Prob. 93CPCh. 13 - Prob. 96CPCh. 13 - Prob. 97CPCh. 13 - Prob. 98CPCh. 13 - Prob. 99PCh. 13 - Prob. 100PCh. 13 - Prob. 101CPCh. 13 - Consider uniform water flow in a wide rectangular...Ch. 13 - Consider the uniform flow of water in a wide...Ch. 13 - Prob. 105PCh. 13 - Prob. 106EPCh. 13 - Prob. 107PCh. 13 - Prob. 108PCh. 13 - Water flows over a 2-m-high sharp-crested...Ch. 13 - Prob. 110EPCh. 13 - Prob. 111EPCh. 13 - Prob. 112PCh. 13 - Prob. 114PCh. 13 - Repeat Prob. 13-111 for an upstream flow depth of...Ch. 13 - Prob. 116PCh. 13 - Prob. 117PCh. 13 - Repeat Prob. 13-114 for an upstream flow depth of...Ch. 13 - Consider uniform water flow in a wide channel made...Ch. 13 - Prob. 120PCh. 13 - Prob. 121PCh. 13 - Water flows in a canal at an average velocity of 4...Ch. 13 - Prob. 123PCh. 13 - A trapczoda1 channel with brick lining has a...Ch. 13 - Prob. 127PCh. 13 - A rectangular channel with a bottom width of 7 m...Ch. 13 - Prob. 129PCh. 13 - Prob. 131PCh. 13 - Prob. 132PCh. 13 - Consider o identical channels, one rectangular of...Ch. 13 - Prob. 134PCh. 13 - The flow rate of water in a 6-m-ide rectangular...Ch. 13 - Prob. 136EPCh. 13 - Prob. 137EPCh. 13 - Consider two identical 15-ft-wide rectangular...Ch. 13 - Prob. 140PCh. 13 - Prob. 141PCh. 13 - A sluice gate with free outflow is used to control...Ch. 13 - Prob. 143PCh. 13 - Prob. 144PCh. 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. 147PCh. 13 - Prob. 148PCh. 13 - Prob. 149PCh. 13 - Prob. 150PCh. 13 - Prob. 151PCh. 13 - Prob. 152PCh. 13 - Prob. 153PCh. 13 - Water f1ows in a rectangular open channel of width...Ch. 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 - Prob. 166PCh. 13 - Consider water flow in the range of 10 to 15 m3/s...
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- In order to determine the flow in a rectangular channel, a 75-mm-high bump is added on its bottom surface. The measured depth of flow at the bump is 1.25 m. The flow is uniform throughout the cross-sections at A and B, and the channel has a width of 1.2 m. Assume the fluid is an ideal fluid, that is, incompressible and frictionless. B 1.25 m 1.5 m 75 mm Part A Determine the volumetric discharge. Express your answer to three significant figures and include the appropriate units.arrow_forwardWater is flowing uniformly in a finished-concrete channel of trapezoidal cross section with a bottom width of 0.8 m, trapezoid angle of 50°, and a bottom angle of 0.4°. If the flow depth is measured to be 0.52 m, determine the flow rate of water through the channel.arrow_forwardA trapezoidal channel (b= 1.5 m, m = 2) forms the outlet structure of a lake that discharges to a steep channel as shown in the figure. The lake level far upstream from the outlet is 0.6 m relative to the invert of the outlet structure. If the water discharge, Q, released from the lake was 1.86 m³/s, determine the depth y at the outfall. Flow direction Lake Outfall Q = 1.86 m³/s y = ? Steep channel TER 0.6 marrow_forward
- Water flows in a 2-m-diameter finished concrete pipe so that it is completely full and the pressure is constant all along the pipe. If the slope is So= 0.005, determine the flowrate by using open channel flow methods.arrow_forwardA sharp crested suppressed weir under a head of 2.03 m is 3.50 m high and 2m long. Determine the discharge over the weir, if C = 0.603. Neglect the velocity of approach.arrow_forwardPp2arrow_forward
- The flow rate of water in a 10-m-wide horizontal channel is being measured using a 1.3-m-high sharp-crested rectangular weir that spans across the channel. If the water depth upstream is 3.4 m, determine the flow rate of water.arrow_forwardWater at 20°C flows in a partially full 4-m-diameter circular channel at an average velocity of 2 m/s. If the maximum water depth is 1 m, determine the hydraulic radius, the Reynolds number, and the flow regime.arrow_forwardThe flow rate of water in a 5-m-wide horizontal open channel is being measured with a 0.60-m-high sharp-crested rectangular weir of equal width. If the water depth upstream is 1.5 m, determine the flow rate of waterarrow_forward
- Water 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_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_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_forward
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