(i) Calculate the following parameters that describe the flow through the pipe: the velocity V of the water through the pipe; • the Reynolds number, Re, for the water flow through the pipe the friction factor, f.

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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Related questions
Question
100%
0.1
0.09 Laminar Critical Transition
flow
zone
zone N
0.08
0.07
0.06
0.05
0.04
f 0.03
0.025
0.02
Laminar flow, f= 64/Re
→
Material
0.015 Glass, plastic
Concrete
(ii) Compare the calculated results with the friction factor obtained from
Moody's diagram. Is the use of this pipe diameter appropriate?
Wood stave
Rubber, smoothed
Copper or brass tubing
Cast iron
0.01
Galvanized iron
Wrought iron
0.009 Stainless steel
Commercial steel
0.008
ft
0
0.003-0.03
0.0016
0.000033
0.000005
0.00085
0.0005
0.00015
0.000007
0.00015
Roughness, E
mm
0
0.9-9
0.5
0.01
0.0015
0.26
0.15
0.046
0.002
0.045
Complete turbulence, rough pipes
Smooth pipes
Hoffenh
FIGURE A-27
The Moody chart for the friction factor for fully developed flow in circular tubes.
E/D=0.000005
0.05
0.04
0.03
0.02
0.015
0.01
0.008
0.006
0.004
0.002
0.001
0.0008
0.0006
0.0004
0.0002
0.0001
0.00005
E/D=0.000001
0.00001
103 2(10³) 3 4 5 6 8 104 2(104) 3 4 5 6 8 105 2(105) 3 4 5 6 8 106 2(106) 3 4 5 6 8 107 2(107) 3 4 5 6 8 108
Reynolds number Re
Relative roughness &/D
Transcribed Image Text:0.1 0.09 Laminar Critical Transition flow zone zone N 0.08 0.07 0.06 0.05 0.04 f 0.03 0.025 0.02 Laminar flow, f= 64/Re → Material 0.015 Glass, plastic Concrete (ii) Compare the calculated results with the friction factor obtained from Moody's diagram. Is the use of this pipe diameter appropriate? Wood stave Rubber, smoothed Copper or brass tubing Cast iron 0.01 Galvanized iron Wrought iron 0.009 Stainless steel Commercial steel 0.008 ft 0 0.003-0.03 0.0016 0.000033 0.000005 0.00085 0.0005 0.00015 0.000007 0.00015 Roughness, E mm 0 0.9-9 0.5 0.01 0.0015 0.26 0.15 0.046 0.002 0.045 Complete turbulence, rough pipes Smooth pipes Hoffenh FIGURE A-27 The Moody chart for the friction factor for fully developed flow in circular tubes. E/D=0.000005 0.05 0.04 0.03 0.02 0.015 0.01 0.008 0.006 0.004 0.002 0.001 0.0008 0.0006 0.0004 0.0002 0.0001 0.00005 E/D=0.000001 0.00001 103 2(10³) 3 4 5 6 8 104 2(104) 3 4 5 6 8 105 2(105) 3 4 5 6 8 106 2(106) 3 4 5 6 8 107 2(107) 3 4 5 6 8 108 Reynolds number Re Relative roughness &/D
Water at 20 °C should flow from a large diameter supply tank of constant
pressure at 150 kPa (absolute) to a domestic boiler operating at the same
pressure at a rate of 0.15 kg s-1. The pipe that connects the water reservoir
to the boiler is a 7 m long cast iron pipe (you may neglect minor friction
losses). A pipe of diameter D = 12 mm is initially tested for this operation.
There is a 3 m elevation difference between the tank and the boiler (the boiler
is lower). The density and viscosity of water are 1000 kg m-³ and
8.90*10-4 Pa s respectively.
(i) Calculate the following parameters that describe the flow through the
pipe:
• the velocity V of the water through the pipe;
• the Reynolds number, Re, for the water flow through the pipe
• the friction factor, f.
Transcribed Image Text:Water at 20 °C should flow from a large diameter supply tank of constant pressure at 150 kPa (absolute) to a domestic boiler operating at the same pressure at a rate of 0.15 kg s-1. The pipe that connects the water reservoir to the boiler is a 7 m long cast iron pipe (you may neglect minor friction losses). A pipe of diameter D = 12 mm is initially tested for this operation. There is a 3 m elevation difference between the tank and the boiler (the boiler is lower). The density and viscosity of water are 1000 kg m-³ and 8.90*10-4 Pa s respectively. (i) Calculate the following parameters that describe the flow through the pipe: • the velocity V of the water through the pipe; • the Reynolds number, Re, for the water flow through the pipe • the friction factor, f.
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