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Question

In steady laminar flow of a liquid through a circular pipe of internal diameter D, carrying a constant discharge, the hydraulic gradient is inversely proportional to

A
D
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B
D2
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C
D4
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D
D5
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Solution

The correct option is C D4
For Laminar flow through pipe.

Hagen-Poiseuilie's eq.

P1P2ρg=32μ¯vLρgD2 Q=[π4D2].¯u

or P1P2ρg=128πμQLρgD4



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