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GATE ME 2020 Set 1 — Question 59

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NAT+2 / -0MediumParallel Plate & Hagen-PoiseuilleViscous & Pipe FlowFluid Mechanics

Fluid Mechanics → Viscous & Pipe Flow → Parallel Plate & Hagen-Poiseuille

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Question

Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter DD. We know that the velocity profile forms a paraboloid about the pipe centre line, given by: V=−C(r2−D24)V = -C \left(r^2 - \frac{D^2}{4}\right) m/s, where CC is a constant. The rate of kinetic energy (in J/s) at the control surface A-B, as shown in the figure, is proportional to DnD^n. The value of nn is ______.
Velocity profile in a circular pipe with control volume A-B
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