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

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

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

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

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

Expert Solution

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samet mamat answered 1 year ago

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