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GATE ME 2016 Set 1 — Question 50

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NAT+2 / -0MediumGeometric, Kinematic & Dynamic SimilarityDimensional Analysis & SimilitudeFluid Mechanics

Fluid Mechanics → Dimensional Analysis & Similitude → Geometric, Kinematic & Dynamic Similarity

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Oil (kinematic viscosity, νoil=1.0×10−5 m2/s\nu_{oil} = 1.0 \times 10^{-5} \text{ m}^2/\text{s}) flows through a pipe of 0.5 m0.5 \text{ m} diameter with a velocity of 10 m/s10 \text{ m/s}. Water (kinematic viscosity, νw=0.89×10−6 m2/s\nu_w = 0.89 \times 10^{-6} \text{ m}^2/\text{s}) is flowing through a model pipe of diameter 20 mm20 \text{ mm}. For satisfying the dynamic similarity, the velocity of water (in m/s) is __________
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