calculate the head loss for the circular pipes using the...
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(a) (b)
(a)
(c)
(e)
(b)
(d)
(f)
Dat
a en
tere
d
103 104 105 106 107 108 109
103
102
101
100
10-1
10-2
10-3
10-4
Reynolds number (Re)
k/D smooth Average V nu in stoke D (cm)
L (m) C for Chezy C for Hazen k/D rough n for Manning k rough (mm) k smooth (mm)
Dat
a ou
tput
103 104 105 106 107 108 109
104
103
102
101
100
10-1
10-2
10-3
10-4
Reynolds number (Re)
k/D f (Darcy) hf (Darcy) hf (Chezy)
hf (Hazen)
hf (Manning) C (Chezy(f)) C (Hazen(f)) n(f)
102
101
100
10-1
10-2
Dat
a ou
tput
103 104 105 106 107 108 109 Reynolds number (Re)
k/D
f
n (Manning(f))
C (Chezy (f))
C (Hazen (f))
1
0.5
0.25
0.1
0.05
0.02
0.01
5.0E-3
1.0E-3
5.0E-4
1.0E-4
Fric
tion
fact
or f
and
rela
tive
roug
hnes
s
0 50 100 150 200 250
Hydraulic Diameter D (m)
Friction factor of smooth pipes f Friction factor of rough pipes f Relative roughness of smooth pipes Relative roughness of rough pipes
100
50
25
10
5
2.5
1
0.5
0.25
0.1
0.05
0.02
0.01
Coe
ffic
ient
s
0 200 400 600 800 1000 1200
Head loss hf (m)
Friction factor f
Mannings roughness coefficient n
Chezy constant
Hazen roughness coefficient
1
0.5
0.25
0.1
0.05
0.02
0.01
5.0E-3
1.0E-3
5.0E-4
1.0E-4
Fric
tion
fact
or f
and
rela
tive
roug
hnes
s
0 50 100 150 200 250
Hydraulic Diameter D (m)
Friction factor of smooth pipes f Friction factor of rough pipes f Relative roughness of smooth pipes Relative roughness of rough pipes