GATE ME 2016 Set 1 — Question 23
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Fluid Mechanics → Viscous & Pipe Flow → Turbulent Flow
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Question
The instantaneous stream-wise velocity of a turbulent flow is given as follows:The time-average of the fluctuating velocity is
Correct answer
(C) zero
Solution
In Reynolds decomposition of turbulent flow, the instantaneous velocity is expressed as the sum of a time-averaged component and a fluctuating component. By definition, the time average of the fluctuating component is zero:
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