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Homework Statement
Hi Guys,
I have this question:
b. A model scaled to one-third the size of the prototype has the following characteristics:
Omegam = 900 rpm
Dm = 5 in
deltaHm = 10 ft
Qm = 3 ft^3/s
Pm = 2 hp
If the full-size pump is to run at 300 rpm, what is the power required for this pump?
Homework Equations
I have found the non dimensional form as:
P/rho * omega^3 * D^5 = f(deltaH/D, Q/Omega * D^3)
density of the fluid, rho
angular speed of the rotor, omega
diameter of the rotor, D
head rise across the pump, deltaH
volumetric flow through the pump, Q
The Attempt at a Solution
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I'm really not sure where to start, I thought I could equate the model equation, P/rho * omega^3 * D^5 with the real life size version but I don't have enough data to rearrange it and am very confused. Could you guys please offer a hand? The answer is 18.
Thanks!
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