Calculate the Head Loss for the Circular Pipes using the...

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Transcript of Calculate the Head Loss for the Circular Pipes using the...

(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