1. An incompressible fluid of kinematic viscosity v= p/p = 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? Friction Factor 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 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast e (mm) 0.25 0.025 0.0025 0.0025 0.15 3.0 Sewers, old Steel, mortar lined 0.1 Steel, rusted 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 10³ 104 Moody Diagram WEEEEEE Transition Region Complete Turbulence Friction Factor=AP. 105 106 Reynolds Number, Re = PVd 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
1. An incompressible fluid of kinematic viscosity v= p/p = 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? Friction Factor 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 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast e (mm) 0.25 0.025 0.0025 0.0025 0.15 3.0 Sewers, old Steel, mortar lined 0.1 Steel, rusted 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 10³ 104 Moody Diagram WEEEEEE Transition Region Complete Turbulence Friction Factor=AP. 105 106 Reynolds Number, Re = PVd 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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F063c3a6a-6530-4fd0-bb24-9fcbc82ba840%2F802e7d99-e1cb-4aac-b731-15110cce0c6d%2Fe91ytim_processed.jpeg&w=3840&q=75)
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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