We want to put a wave energy conversion (WEC) hydrofoil into the ocean. First we perform water tank tests. Assume power output has the following functional dependence P= f(1, A, 9, P, T, D, L). L and D are the length and diameter of the WEC foil, r is the wave period, p is the fluid density, g is acceleration due to gravity, A is the wave amplitude, and is the wave length. Assume all length scales are 1:10 between model and prototype; water is used in both cases. (a) Use p, g, and A as the repeating variables to derive the dimensionless relation for power output. (b) If the ocean has a period of 9 second waves, what should the wave period be for the model. (c) From your experiment you get 1 Watt of power. How much power should you expect from the prototype.

Question

05-12-2022
Physics

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We want to put a wave energy conversion (WEC) hydrofoil into the ocean. First we perform water tank tests. Assume power output has the following functional dependence P= f(1, A, 9, P, T, D, L). L and D are the length and diameter of the WEC foil, r is the wave period, p is the fluid density, g is acceleration due to gravity, A is the wave amplitude, and is the wave length. Assume all length scales are 1:10 between model and prototype; water is used in both cases. (a) Use p, g, and A as the repeating variables to derive the dimensionless relation for power output. (b) If the ocean has a period of 9 second waves, what should the wave period be for the model. (c) From your experiment you get 1 Watt of power. How much power should you expect from the prototype.

Sagot :

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