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GATE 2021 PI – Question 62

General Engineering · Thermal and Fluids Engineering · 2 marks · Numerical answer

Fluid of dynamic viscosity 1 Pa·s and density 1000 kg/m³ flows at 0.2 litre/s through a 1 cm circular pipe. Assuming fully developed flow, find maximum velocity in m/s to one decimal.

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Correct answer: 5.0 to 5.2

Explanation

Q = 0.0002 m³/s; area is π(0.01)²/4. Mean speed is 2.5465 m/s. Reynolds number ρUD/μ ≈ 25.5 confirms laminar flow, for which maximum speed is twice mean: **5.1 m/s**.

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