Question

The pressure rise, ?p, across a centrifugal pump of a given shape can be expressed as shown below: ?p=f<sub>n</sub> (D, w, p, Q). Where D is the impeller diameter, w the angular velocity of the impeller (sec?¹), p the fluid density, and Q the volume flow rate of the flow through the pump. What is the pressure drop ?p (psi) for the prototype if pressure drop ?p (psi) for the model is ?p<sub>m</sub>=14.5 (psi)? Prototype Model D = 12 in D = 8 in ? = 60? rad/s ? = 40? rad/s p= 1.94 slugs/ft³ p=1.94 slugs/ft³ Q= 6 ft³/s Q=?

          The pressure rise, ?p, across a centrifugal pump of a given shape can be expressed as shown below:
?p=f<sub>n</sub> (D, w, p, Q). Where D is the impeller diameter, w the angular velocity of the impeller (sec?¹), p the
fluid density, and Q the volume flow rate of the flow through the pump.
What is the pressure drop ?p (psi) for the prototype if pressure drop ?p (psi) for the model is ?p<sub>m</sub>=14.5 (psi)?
Prototype	Model
D = 12 in	D = 8 in
? = 60? rad/s	? = 40? rad/s
p= 1.94 slugs/ft³	p=1.94 slugs/ft³
Q= 6 ft³/s	Q=?

The pressure rise, ?p, across a centrifugal pump of a given shape can be expressed as shown below:
?p=f<sub>n</sub> (D, w, p, Q). Where D is the impeller diameter, w the angular velocity of the impeller (sec?¹), p the
fluid density, and Q the volume flow rate of the flow through the pump.
What is the pressure drop ?p (psi) for the prototype if pressure drop ?p (psi) for the model is ?p<sub>m</sub>=14.5 (psi)?
Prototype Model
D = 12 in D = 8 in
? = 60? rad/s ? = 40? rad/s
p= 1.94 slugs/ft³ p=1.94 slugs/ft³
Q= 6 ft³/s Q=?

Added by Adam M.

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