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An incompressible fluid oscillates harmonically (V = V0 sin(wt), where V is the velocity) with a...

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Mechanical Engineering

An incompressible fluid oscillates harmonically (V = V0 sin(wt),where V is the velocity) with a certain frequency in a 19 cmdiameter pipe. A 1/4 scale model is to be used to determine thepressure difference per unit length, ∆?? at any instant along thepipe. Assume that ∆?? = ?(?, ?0,?,?,?,?)

Where D is the pipe diameter, ω the frequency, t the time, μ thefluid viscosity, and ρ the fluid density.


a) Determine the similarity requirements for the model and theprediction equation for ∆??.

b) If the same fluid is used in the model and the prototype, andthe model frequency is 250 rad/s, what is the prototypefrequency?

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