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A 5 m commercial steel pipe DN80 is connected with one 45° elbow and one gate valve fully open. The volume flow rate of water is 400 l/min, calculate the total head loss by the equivalent length method. Density of water 1000 kg/m3, dynamic viscosity 0.001 kg/m.s

A 5 m commercial steel pipe DN80 is connected with one 45° elbow and one gate valve fully open. The volume flow rate of water is 400 l/min, calculate the total head loss by the equivalent length method. Density of water 1000 kg/m3, dynamic viscosity 0.001 kg/m.s

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A 5 m commercial steel pipe DN80 is connected with one 45° elbow and one gate valve fully open. The volume flow rate of water is 400 I/min, calculate the total head loss by the equivalent length method. Density of water 1000 kg/m3 dynamic viscosity 0.001 kg/m.s
Transcribed Image Text:A 5 m commercial steel pipe DN80 is connected with one 45° elbow and one gate valve fully open. The volume flow rate of water is 400 I/min, calculate the total head loss by the equivalent length method. Density of water 1000 kg/m3 dynamic viscosity 0.001 kg/m.s
0.1 0.09 Laminar Transitional Turbulent fow dow ttt Now Fully rough turbulent flow (fle vels off) 0.05 0.08 0.04 0.07 0.03 0.06 0.02 0.05 0.015 0.04 0.01 0.008 0.006 0.03 0.004 0.025 0.002 0.001 0.0008 0.0006 0.02 Roug hness, e Macrial 0.0004 0.015 Glas, plastic 0.003-0.03 0.0016 0.9-9 Concee Wood stave 0.0002 Rs bber, sothed Copper or brass tubing Cat iron 0.000033 0.000005 O D008S as 001 0.0015 026 Smooth pipes e/D =0 0.0001 Galvanizad iron 0.15 0.00005 a.0005 0.0001S 0.000007 0.01 Wrough iron 0.046 te/D -0.000005 0.009 Stainless sel Commerial steel 0.002 0.045 Te/D-0.000001 0.00001 10 2(10) 3 4 36 8 104 2(10) 3 4 56 8 105 2(10) 3 4 56 8 10 2(10) 3 4 56 8 107 2(10) 3 4 56 8 108 0.008 Reynolds number, Re Darcy faction factor.f Laminar flow. f=64/Re Relative roughness e/D
Transcribed Image Text:0.1 0.09 Laminar Transitional Turbulent fow dow ttt Now Fully rough turbulent flow (fle vels off) 0.05 0.08 0.04 0.07 0.03 0.06 0.02 0.05 0.015 0.04 0.01 0.008 0.006 0.03 0.004 0.025 0.002 0.001 0.0008 0.0006 0.02 Roug hness, e Macrial 0.0004 0.015 Glas, plastic 0.003-0.03 0.0016 0.9-9 Concee Wood stave 0.0002 Rs bber, sothed Copper or brass tubing Cat iron 0.000033 0.000005 O D008S as 001 0.0015 026 Smooth pipes e/D =0 0.0001 Galvanizad iron 0.15 0.00005 a.0005 0.0001S 0.000007 0.01 Wrough iron 0.046 te/D -0.000005 0.009 Stainless sel Commerial steel 0.002 0.045 Te/D-0.000001 0.00001 10 2(10) 3 4 36 8 104 2(10) 3 4 56 8 105 2(10) 3 4 56 8 10 2(10) 3 4 56 8 107 2(10) 3 4 56 8 108 0.008 Reynolds number, Re Darcy faction factor.f Laminar flow. f=64/Re Relative roughness e/D
Expert Solution
Given

Pipe Length, L=5m

Volume flow rate of water, Q=400l/min=400*10-360=0.00667m3/s

Water density, ρ=1000 kg/m3

Dynamic viscosity of water, μ=0.001kg/m.s

Pipe fittings:1 45o eblow1 fully open gate valve

Step 1

Inner Diameter of DN80 steel pipe, d=77.92mm=0.07792m        { From data table of DN80 pipe }

Velocity of water in the pipe,

V=QA=Qπ4*d2V=0.00667π4*0.077922V=1.398m/s

Therefore, Reynolds number of the flow is,

Re=ρ*V*dμRe=1000*1.398*0.077920.001Re=108932.16 

 

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