To determine The show that Reynolds number for flow in a circular pipe of diameter D is Re = 4 m ˙ ( π D μ ) . Explanation The flow which have higher Reynolds number is more likely to be turbulent. The ratio of the inertial force to the viscous force in the fluid is called Reynolds number. Expression for the Reynolds number is given by, Re = V ⋅ D h v Here, V is the flow velocity, D h is the hydraulic diameter, v is the kinetic viscosity. The flow in a pipe will be laminar at Re < 2300 whereas turbulent Re > 4000 and transition in between. Write the expression for the flow velocity in terms of mass flow rate. V = m ˙ ρ A c (I) Here, m ˙ is the mass flow rate, A c is the circular area, ρ is the density. Substitute π D 2 4 for A c in equation (I) and solve

Fundamentals Of Thermal-fluid Sciences In Si Units

5th Edition

ISBN: 9789814720953

Author: Yunus Cengel, Robert Turner, John Cimbala

Publisher: McGraw-Hill Education

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Chapter 14, Problem 8P

To determine

The show that Reynolds number for flow in a circular pipe of diameter D is Re=4m˙(πDμ).

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Chapter 14, Problem 7P

Chapter 14, Problem 9P

Chapter 14 Solutions

Fundamentals Of Thermal-fluid Sciences In Si Units

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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