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Question

An oil of viscosity 9 poise is flowing through a horizontal pipe of 60 mm diameter. If the flow is laminar, the pressure drop in 100 m length of the pipe is 1800 kN/m2.The average velocity of flow of the oil is

A
2.25 m/s
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B
0.55 m/s
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C
5.5 m/s
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D
22.5 m/s
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Solution

The correct option is A 2.25 m/s
1 poise =0.1N-s/m2

μ=0.9N-s/m2

Vav=18μdpdzR2

dpdz=1800×103100=18×103 N/ m2/m

R=602=30 mm=0.03m

Vav=18×0.9×18×103×(0.03)2

=2.25 m/s

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