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GATE 2022 PI – Question 27

General Engineering · Thermal and Fluids Engineering · 1 mark · Numerical answer

Water of kinematic viscosity 1 × 10⁻⁶ m²/s flows through an 8 mm horizontal circular pipe. Flow is fully developed and laminar, with maximum axial velocity 0.5 m/s. Find Reynolds number, nearest integer.

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Correct answer: 1995 to 2005

Explanation

Laminar circular-pipe velocity is parabolic, with mean speed half the maximum: 0.25 m/s. Therefore $Re=\bar uD/\nu=0.25(0.008)/10^{-6}=\mathbf{2000}$.

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