A fluid with specific weight colb and viscosit 8.4x10-51b-s flows through the ft³ ។ pipe- pressure ft² determine the average Velocity of the fluid. Provide in inches/s IF ft 2 drop over the length of the pipe is 2-816 Assume laminar flow h = 16ft D = ain

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Chapter14: Fluid Mechanics
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Problem 117AP: A small artery has a length of 1.1103m and a radius of 2.55105m . If the pressure drop across the...
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A fluid with specific weight Golb and viscosit y
8.4x10-51b-s flows through the ft3
pipe-
ft 2
If pressure drop over the length of the pipe is 2-816
ft²
determine the average Velocity of the fluid. Provide in
ef pH
inches/s
Assume laminar flow
h = 16ft
D = ain
Jpg
92
40
H
Transcribed Image Text:A fluid with specific weight Golb and viscosit y 8.4x10-51b-s flows through the ft3 pipe- ft 2 If pressure drop over the length of the pipe is 2-816 ft² determine the average Velocity of the fluid. Provide in ef pH inches/s Assume laminar flow h = 16ft D = ain Jpg 92 40 H
Expert Solution
Step 1: Hagen-Poiseuille equation

The Hagen-Poiseuille equation for laminar flow in a pipe:

Q equals fraction numerator pi times capital delta P times r to the power of 4 over denominator 8 times eta times L end fraction

Where:
Q is the volumetric flow rate (ft2/s).
capital delta P is the pressure drop (lb/ft2,).
capital delta P is the pressure drop (lb/ft2,).
capital delta P is the pressure drop (lb/ft2,).
capital delta P is the pressure drop (lb/ft2).
r is the radius of the pipe (ft).
eta is the dynamic viscosity (lb-s/ft2).
L is the length of the pipe (ft).

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