An estimate is needed on the lift provided by a hydrofoil wing section when it moves through water at 60 mph. Test data are available for this purpose from experiments in a pressurized wind tunnel with an airfoil section model geometrically similar to but twice the size of the hydrofoil. If the lift F1 is a function of the density ρ of the fluid, the velocity u of the flow, the angle of attack θ, the chord length D, and the viscosity μ, what velocity of flow in the wind tunnel would correspond to the hydrofoil velocity for which the estimate is desired? Assume the same angle of attack in both cases, that the density of the air in the pressurized tunnel is 5.0 × 10−3 slugs/ft3, that its kinematic viscosity is 8.0 × 10−5 ft2/s, and that the kinematic viscosity of the water is approximately 1.0 × 10−5 ft2/s. Take the density of water to be 1.94 slugs/ft3.
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