5. Many flying and swimming animals rely on some type of repetitive motion for propulsion through...

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5. Many flying and swimming animals rely on some type of repetitive motion for propulsion through air or water. For this problem, assume the average travel speed U, depends on the repetition frequency f, the characteristic length scale of the animal L, the gravitational acceleration g, the density of the animal p, the density of the fluid p, and the viscosity of the fluid . (a) Formulate a dimensionless scaling law for U involving all the other parameters. (b) Simplify your answer for (a) for turbulent flow where is no longer a parameter. 5. Many flying and swimming animals rely on some type of repetitive motion for propulsion through air or water. For this problem, assume the average travel speed U, depends on the repetition frequency f, the characteristic length scale of the animal L, the gravitational acceleration g, the density of the animal p, the density of the fluid p, and the viscosity of the fluid . (a) Formulate a dimensionless scaling law for U involving all the other parameters. (b) Simplify your answer for (a) for turbulent flow where is no longer a parameter.

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The problem youve presented pertains to the creation of a dimensionless scaling law for the average travel speed U of flying and swimming animals This is a common exercise in the application of the Bu... View the full answer