Problem 10.59 Engine oil ( = 0.20 Pas) passes through a fine 2.30-mm-diameter tu

Question

Problem 10.59

Engine oil ( = 0.20 Pas) passes through a fine 2.30-mm-diameter tube that is 12.0 cm long.

Part A

What pressure difference is needed to maintain a flow rate of 8.0 mL/min ?

Express your answer to two significant figures and include the appropriate units.

Problem 10.59

Engine oil ( = 0.20 Pas) passes through a fine 2.30-mm-diameter tube that is 12.0 cm long.

Part A

What pressure difference is needed to maintain a flow rate of 8.0 mL/min ?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

delta P = 8 u L Q / pi R^4  

u = 0.20 Pa - s

L = 0.12 m

Q = 8 x 10^-6 m^3 / 60s = 1.333 x 10^-7 m^3 / s

R = 2.30 x 10^-3 /2 = 1.15 x 10^-3 m

putting values,

delta P = 4659 Pa or 4.7 x 10^3 Pa  

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