Problem 8.86

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Problem 8.86 [Difficulty: 2]
Given: Data on flow through Alaskan pipeline
Find: Head loss
Solution:
Basic equation
p1
ρoil g⋅
α
V1
2
2 g⋅⋅+ z1+
⎛⎜⎜⎝
⎞
⎠
p2
ρoil g⋅
α
V2
2
2 g⋅⋅+ z2+
⎛⎜⎜⎝
⎞
⎠
−
hlT
g
= HlT=
Assumptions: 1) Steady flow 2) Incompressible flow 3) α at 1 and 2 is approximately 1 4) SG = 0.9 (Table A.2)
Then HlT
p1 p2−
SGoil ρH2O⋅ g⋅
z1+ z2−=
HlT 8250 350−( ) 103×
N
m2
⋅ 1
0.9
× m
3
1000 kg⋅×
kg m⋅
s2 N⋅
× s
2
9.81 m⋅× 45 115−( ) m⋅+= HlT 825 m=
In terms of energy/mass hlT g HlT⋅= hlT 9.81
m
s2
⋅ 825× m⋅ N s
2⋅
kg m⋅×= hlT 8.09
kN m⋅
kg
⋅=