GATE CE 2026 Set 1 — Question 41

MCQ+2 / -0.67MediumHagen-Poiseuille FlowLaminar & Turbulent FlowWater Resources EngineeringVelocity Distribution

Water Resources Engineering → Laminar & Turbulent Flow → Hagen-Poiseuille Flow

Last updated 5 September 2026

Question

In a laminar flow of a Newtonian fluid through a circular pipe of radius 5 cm, the maximum velocity is found to be 2 m/s. The velocity (in m/s) at a radial distance of 2.50 cm from the axis of the pipe is

v(r) = v_{max} \left[ 1 - \left( \frac{r}{R} \right)^2 \right]

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v(r) = v_{max} \left[ 1 - \left( \frac{r}{R} \right)^2 \right]

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