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 156P
To determine
The flow rate of water through the channel.
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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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- Water 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_forwardConsider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25×102 N-s/m², Thermal…arrow_forwardConsider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m¹-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25x10 N-s/m², Thermal…arrow_forward
- Consider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25×10 N-s/m², Thermal…arrow_forwardThe flow rate of water flowing in a 5-m-wide channel is to be measured with a sharp-crested triangular weir 0.5 m above the channel bottom with a notch angle of 80°. If the flow depth upstream from the weir is 1.5 m, determine the flow rate of water through the channel. Take the weir discharge coefficient to be 0.60.arrow_forwardWater discharges into a rectangular horizontal channel from a sluice gate and undergoes a hydraulic jump. The flow depth and velocity before the jump are 1.25 m and 8.5 m/s, respectively. The percentage available head loss due to the hydraulic jump is (a) 4.7% (b) 7.2% (c) 8.8% (d ) 13.5% (e) 16.3%arrow_forward
- 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 1arrow_forwardConsider water flow through two identical channels with square flow sections of 4 m × 4 m. Now the two channels are combined, forming a 8-m-wide channel. The flow rate is adjusted so that the flow depth remains constant at 4 m. Determine the percent increase in flow rate as a result of combining the channels.arrow_forwardWater is to be transported in a finished-concrete rectangular channel with a bottom width of 1.2 m at a rate of 5 m3 /s. The channel bottom drops 1 m per 500 m length. The minimum height of the channel under uniform-flowconditions is(a) 1.9 m (b) 1.5 m (c) 1.2 m (d) 0.92 m (e) 0.60 marrow_forward
- Consider 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_forwardThe unit flow rate passing through a wide channel is 6.0 m2/s. As shown in the figure, the channel consists of three infinitely long sections with different slopes, and the base slopes of each section are shown on the figure. There is a fully closed vertically movable cover in the S01 inclined channel and the water passes over the cover. The water depth formed just downstream of the cover is 0.6m, and the height of the relief structure at the beginning of the S03 inclined channel is 4m. What is the water depth at the end of the profile formed just upstream of the vertically moving cover in the S01 inclined channel by taking the Manning coefficient of friction of 0.02?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
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