Oil flows through a circular pipe at a rate of 0.4m^3/s.  Density p= 960kg/m3  Length of Pipe = 120m Head loss along the length = 7m Roughness of the pipe, ks = 0.07mm Kinematic viscosity v= 2 x 10^(-5)  m2/s Find the diameter of the pipe to 3dp. (The final solution should be 0.34m, but i am confused with the method so if you could put a few notes next to calculations that would be very helpful).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Oil flows through a circular pipe at a rate of 0.4m^3/s. 

Density p= 960kg/m3 

Length of Pipe = 120m

Head loss along the length = 7m

Roughness of the pipe, ks = 0.07mm

Kinematic viscosity v= 2 x 10^(-5)  m2/s

Find the diameter of the pipe to 3dp.

(The final solution should be 0.34m, but i am confused with the method so if you could put a few notes next to calculations that would be very helpful). Ive attached a copy of the moody diagram aswell as it is relevant.                                                                       

Figure 6. The Moody Diagram
Friction Factor
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
Re
Material
Concrete, coarse
Concrete, new smooth
Drawn tubing
Glass,Plastic Perspex
Iron, cast
Sewers,old
ks (mm)
0.25
0.025
0.0025
0.0025
0.15
3.0
0.1
Steel, mortar lined.
Steel, rusted
0.5
Steel, structural or forged 0.025
Water mains, old
1.0
10³
104
Moody Diagram
Transition Region
Complete turbulence
Friction Factor =
AP
106
Reynolds Number, Re=
pVd
H
Smooth Pipe
10'
0.05
0.04
0.03
0.02
0.015
0.01
0.005
0.002
0.001
5x10-4
2x10-
10-4
5x107
Relative Pipe Roughness
10-5
5x10-6
10-6
108
Transcribed Image Text:Figure 6. The Moody Diagram Friction Factor 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 Re Material Concrete, coarse Concrete, new smooth Drawn tubing Glass,Plastic Perspex Iron, cast Sewers,old ks (mm) 0.25 0.025 0.0025 0.0025 0.15 3.0 0.1 Steel, mortar lined. Steel, rusted 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 10³ 104 Moody Diagram Transition Region Complete turbulence Friction Factor = AP 106 Reynolds Number, Re= pVd H Smooth Pipe 10' 0.05 0.04 0.03 0.02 0.015 0.01 0.005 0.002 0.001 5x10-4 2x10- 10-4 5x107 Relative Pipe Roughness 10-5 5x10-6 10-6 108
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