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GATE ME 2017 Set 2 — Question 41

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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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Question

For the laminar flow of water over a sphere, the drag coefficient CFC_F is defined as CF=F/(ρU2D2)C_F = F / (\rho U^2 D^2), where FF is the drag force, ρ\rho is the fluid density, UU is the fluid velocity and DD is the diameter of the sphere. The density of water is 1000 kg/m31000 \text{ kg/m}^3. When the diameter of the sphere is 100 mm and the fluid velocity is 2 m/s, the drag coefficient is 0.5. If water now flows over another sphere of diameter 200 mm under dynamically similar conditions, the drag force (in N) on this sphere is ___________
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