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 3CP
To determine
That the slope of bottom surface of a rectangular channel will be equal to the free surface of the rectangular 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 to be transported at a rate of 10 m3/s in uniform flow in an open channel whose surfaces are asphalt lined. The bottom slope is 0.0015. Determine the dimensions of the best cross section if the shape of the channel is (a) circular of diameter D, (b) rectangular of bottom width b, and (c) trap e zoidal of bottom width b.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_forwardWater flows in a channel whose bottom slope is 0.002 and whose cross section is as shown. The dimensions and the Manning coefficients for the surfaces of different subsections are also given on the figure. Determine the flow rate through the channel and the effective Manning coefficient for the channel.arrow_forward
- Do 3,4arrow_forwardGradually varied flow of water in a wide rectangular channel with a per-unitwidth flow rate of 1 m3/s⋅m and a Manning coefficient of n = 0.02 is considered. The slope of the channel is 0.001, and at the location x = 0, the flow depth is measured to be 0.8 m. (a) Determine the normal and critical depths of the flow and classify the water surface profile, and (b) calculate the flow depth y at x = 1000 m by integrating the GVF equation numerically over the range 0 ≤ x ≤ 1000 m. Repeat part (b) to obtain the flow depths for different x values, and plot the surface profile.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_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 (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_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-3.25×10 N-s/m², Thermal…arrow_forwardA sluice gate with free outflow is used to control the discharge rate of water through a channel. Determine the flow rate per unit width when the gate is raised to yield a gap of 50 cm and the upstream flow depth is measured to be 2.8 m . Also determine the flow depth and the velocity downstreamarrow_forward
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