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An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar lined Steel, rusted 10³ € (mm) 0.25 0.025 0.0025 0.0025 0.15 3.0 0.1 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 *!!! 104 Moody Diagram Transition Region Complete Turbulence Friction Factor= VAP. 106 Reynolds Number, Re= " pVd 105 Smooth Pipe 107 0.05 0.04 0.03 0.02 0.015 0.01 0.005 0.002 0.001 5x10-4 2x10-49 10-4 5x10-5 Relative Pipe Roughness 10-5 5x10-6 10-6 108 2/3

An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar lined Steel, rusted 10³ € (mm) 0.25 0.025 0.0025 0.0025 0.15 3.0 0.1 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 *!!! 104 Moody Diagram Transition Region Complete Turbulence Friction Factor= VAP. 106 Reynolds Number, Re= " pVd 105 Smooth Pipe 107 0.05 0.04 0.03 0.02 0.015 0.01 0.005 0.002 0.001 5x10-4 2x10-49 10-4 5x10-5 Relative Pipe Roughness 10-5 5x10-6 10-6 108 2/3

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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1. An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar lined e (mm) 0.25 0.025 Transition Region 0.0025 0.0025 0.15 3.0 0.1 Steel, rusted 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 10³ 104 Moody Diagram Complete Turbulence: Friction Factor AP 106 Reynolds Number, Re= 105 pVd H Smooth Pipe 107 0.05 0.04 0.03 0.02 0.015 0.01 0.005 0.002 0.001 5x10-4 2x10-4 10-4 5x10-5 10-5 5x10-6 10-6 108 Relative Pipe Roughness 810
Transcribed Image Text:1. An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar lined e (mm) 0.25 0.025 Transition Region 0.0025 0.0025 0.15 3.0 0.1 Steel, rusted 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 10³ 104 Moody Diagram Complete Turbulence: Friction Factor AP 106 Reynolds Number, Re= 105 pVd H Smooth Pipe 107 0.05 0.04 0.03 0.02 0.015 0.01 0.005 0.002 0.001 5x10-4 2x10-4 10-4 5x10-5 10-5 5x10-6 10-6 108 Relative Pipe Roughness 810
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