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GATE 2023 ES – Question 57

Water Resources and Environmental Hydraulics · Environmental Hydraulics · 2 marks · Numerical answer

An oil pipeline must carry20 L/s under laminar conditions. Kinematic viscosity6×10⁻⁶ m²/s and specific gravity.9. Find minimum diameter in m, to two decimals.

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Correct answer: 1.90 to 2.20

Explanation

For a circular pipe,$Re=vD/\nu=4Q/(\pi D\nu)$. Adopt the conventional conservative laminar threshold2000. Thus $D_{min}=4(.020)/(\pi(6\times10^{-6})(2000))=2.122066$ m, rounded **2.12 m**. Larger diameter lowers Reynolds number at fixed flow; density cancels because kinematic viscosity is given.

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