Explanation Given: Temperature of water is 20 ° C . Water level in the swimming pool is 2 m. Diameter of the pipe is 5 cm. Length of the pipe is 25 m. The friction factor is 0.022. The coefficient of minor loss is 0.5. Calculation: Applying energy equation at point 1 at the free surface of water in the pool and point 2 at the exit of the pipe. P 1 ρ g + α 1 V 1 2 2 g + z 1 + h p u m p = P 2 ρ g + α 2 V 2 2 2 g + z 2 + h t u r b i n e + h L z 1 = α 2 V 2 2 2 g + h L z 1 = V 2 2 2 g + ( f L D + ∑ K L ) V 2 2 2 g V 2 2 = 2 g z 1 1 + f L D + K L V 2 = 2 g z 1 1 + f L D + K L V 2 = 2 ( 9.81 m / s 2 ) ( 2 m ) 1 + 0.022 ( 25 m 0.05 m ) + 0.5 V 2 = 1.772 m / s The flow rate of water is, V ˙ = A c V 2 = π 4 ( 0.05 m ) 2 ( 1.772 m / s ) = 3.48 × 10 − 3 m 3 / s = 3.48 L / s Thus, the initial flow rate of water is 3.48 L / s

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Chapter 14, Problem 118RQ

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The initial discharge rate and the time taken to empty the pool.

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Ch. 14 - Prob. 1P Ch. 14 - Consider laminar flow in a circular pipe. Is the...Ch. 14 - What is hydraulic diameter? How is it defined?...Ch. 14 - How is the hydrodynamic entry length defined for...Ch. 14 - Why are liquids usually transported in circular...Ch. 14 - What is the physical significance of the Reynolds...Ch. 14 - Consider a person walking first in air and then in...Ch. 14 - Show that the Reynolds number for flow in a...Ch. 14 - Which fluid at room temperature requires a larger...Ch. 14 - How does surface roughness affect the pressure...

Ch. 14 - Shown here is a cool picture of water being...Ch. 14 - Someone claims that the volume flow rate in a...Ch. 14 - Someone claims that the average velocity in a...Ch. 14 - Someone claims that the shear stress at the center...Ch. 14 - Someone claims that in fully developed turbulent...Ch. 14 - How does the wall shear stress τw vary along the...Ch. 14 - In the fully developed region of flow in a...Ch. 14 - How is the friction factor for flow in a pipe...Ch. 14 - Discuss whether fully developed pipe flow is one-,...Ch. 14 - Consider fully developed flow in a circular pipe...Ch. 14 - Consider fully developed laminar flow in a...Ch. 14 - Explain why the friction factor is independent of...Ch. 14 - What is turbulent viscosity? What causes it? Ch. 14 - Consider fully developed laminar flow in a...Ch. 14 - How is head loss related to pressure loss? For a...Ch. 14 - Consider laminar flow of air in a circular pipe...Ch. 14 - What is the physical mechanism that causes the...Ch. 14 - The velocity profile for the fully developed...Ch. 14 - Water flows steadily through a reducing pipe...Ch. 14 - Water at 10°C (ρ = 999.7 kg/m3 and μ = 1.307 ×...Ch. 14 - Consider an air solar collector that is 1 m wide...Ch. 14 - Heated air at 1 atm and 100°F is to be transported...Ch. 14 - In fully developed laminar flow in a circular...Ch. 14 - The velocity profile in fully developed laminar...Ch. 14 - Repeat Prob. 14–34 for a pipe of inner radius 7...Ch. 14 - Water at 15°C (ρ = 999.1 kg/m3 and μ = 1.138 ×...Ch. 14 - Consider laminar flow of a fluid through a square...Ch. 14 - Repeat Prob. 14–37 for turbulent flow in smooth...Ch. 14 - Air enters a 10-m-long section of a rectangular...Ch. 14 - Water at 70°F passes through...Ch. 14 - Oil with ρ = 876 kg/m3 and μ = 0.24 kg/m·s is...Ch. 14 - Glycerin at 40°C with ρ = 1252 kg/m3 and μ = 0.27...Ch. 14 - Air at 1 atm and 60°F is flowing through a 1 ft ×...Ch. 14 - Prob. 44P Ch. 14 - Prob. 45P Ch. 14 - Oil with a density of 850 kg/m3 and kinematic...Ch. 14 - Prob. 47P Ch. 14 - Prob. 48P Ch. 14 - Prob. 50P Ch. 14 - Prob. 51P Ch. 14 - Prob. 52P Ch. 14 - Prob. 53P Ch. 14 - Prob. 54P Ch. 14 - Prob. 55P Ch. 14 - Prob. 56P Ch. 14 - Prob. 57P Ch. 14 - Water is to be withdrawn from an 8-m-high water...Ch. 14 - Prob. 59P Ch. 14 - Prob. 60P Ch. 14 - Prob. 61P Ch. 14 - Prob. 62P Ch. 14 - Prob. 63P Ch. 14 - Prob. 64P Ch. 14 - Consider two identical 2-m-high open tanks filled...Ch. 14 - A piping system involves two pipes of different...Ch. 14 - Prob. 67P Ch. 14 - Prob. 68P Ch. 14 - Prob. 69P Ch. 14 - Prob. 70P Ch. 14 - The water needs of a small farm are to be met by...Ch. 14 - Prob. 72P Ch. 14 - Prob. 73P Ch. 14 - Prob. 74P Ch. 14 - Prob. 75P Ch. 14 - Prob. 76P Ch. 14 - Prob. 77P Ch. 14 - Prob. 78P Ch. 14 - Prob. 80P Ch. 14 - Prob. 81P Ch. 14 - A vented tanker is to be filled with fuel oil with...Ch. 14 - Two pipes of identical length and material are...Ch. 14 - Prob. 84P Ch. 14 - Prob. 85P Ch. 14 - Prob. 86P Ch. 14 - Prob. 87P Ch. 14 - Prob. 88P Ch. 14 - Prob. 90P Ch. 14 - Prob. 91P Ch. 14 - Prob. 92P Ch. 14 - Prob. 93P Ch. 14 - Prob. 94RQ Ch. 14 - Prob. 95RQ Ch. 14 - Prob. 96RQ Ch. 14 - Prob. 97RQ Ch. 14 - Prob. 98RQ Ch. 14 - Prob. 99RQ Ch. 14 - Repeat Prob. 14–99E assuming the pipe is inclined...Ch. 14 - Prob. 101RQ Ch. 14 - Prob. 102RQ Ch. 14 - Prob. 103RQ Ch. 14 - Prob. 104RQ Ch. 14 - Two pipes of identical diameter and material are...Ch. 14 - Prob. 106RQ Ch. 14 - Prob. 107RQ Ch. 14 - Prob. 108RQ Ch. 14 - Prob. 109RQ Ch. 14 - Prob. 110RQ Ch. 14 - Prob. 111RQ Ch. 14 - Prob. 112RQ Ch. 14 - Prob. 114RQ Ch. 14 - Prob. 115RQ Ch. 14 - Prob. 116RQ Ch. 14 - Prob. 118RQ

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