Moody Diagram - WEC CIVILIANSweccivilians.weebly.com/uploads/2/4/6/2/24623713/moody_diagram.pdf ·...

8
Moody Diagram

Transcript of Moody Diagram - WEC CIVILIANSweccivilians.weebly.com/uploads/2/4/6/2/24623713/moody_diagram.pdf ·...

Moody Diagram

Exercise

• Oil (s=0.9) with viscosity 1.6 x 10-4 lb.sec/ft2 flows in a 4 in diameter welded steel pipe at 0.25 cfs. What is the friction head loss per foot of pipe.

𝑅 =𝜌𝑉𝐷

𝜇=𝑉𝐷

ν

𝐴 =𝜋

4𝐷2 =

𝜋

4

4

12

2= 0.0872 ft2

𝑉 =𝑄

𝐴=

0.25

0.0872= 2.87 𝑓𝑡 𝑠

𝑅 =𝜌𝑉𝐷

𝜇=𝑉𝐷

ν

𝑅 =𝜌𝑉𝐷

𝜇=1.746 × 2.87 × 0.333

1.6 × 10−4= 10429

𝑠 =𝜌𝑜𝑖𝑙

𝜌𝑤𝑎𝑡𝑒𝑟= 0.9

𝜌𝑤𝑎𝑡𝑒𝑟 = 1.94 𝑠𝑙𝑢𝑔𝑠

𝑓𝑡3

𝑠 =𝜌𝑜𝑖𝑙

𝜌𝑤𝑎𝑡𝑒𝑟= 0.9 x 𝜌𝑤𝑎𝑡𝑒𝑟 = 0.9 x 1.94 = 1.746

𝑠𝑙𝑢𝑔𝑠𝑓𝑡3

So flow is Turbulent

• So will use moody diagram to solve the exercise.

• Absolute roughness = e = 0.00015 ft

• D = 0.3333 ft

• e/D = 0.00015/0.3333 = 0.00045

• R = 10429

• From moody diagram we have

• f = 0.0355

• 𝑓 =ℎ𝑓𝐿

𝐷

𝑉2

2𝑔

→ℎ𝑓

𝐿=𝑓∙𝑉2

2𝑔

𝐷= 0.0204 ft/ft

0.0045

0.005

10420

0.0355