GATE CE 2021 Set 1 — Question 42
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Water Resources Engineering → Laminar & Turbulent Flow → Hagen-Poiseuille Flow
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Question
A fluid flowing steadily in a circular pipe of radius has a velocity that is everywhere parallel to the axis (centerline) of the pipe. The velocity distribution along the radial direction is , where is the radial distance as measured from the pipe axis and is the maximum velocity at . The average velocity of the fluid in the pipe is
Correct answer
(A) (U)/(2)
Solution
The average velocity is defined as the total discharge divided by the cross-sectional area .For a circular pipe, the differential area element is .Thus, the average velocity is half of the maximum velocity.
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