The power P generated by a pump of a given geometry is known to depend upon the impeller diameter D, the rotational speed N, the volumetric flowrate Q, the fluid density p and the fluid viscosity μ. Using the Buckingham theorem, show that the power is given by the following expression: Q P PN³ DS == fn(VD³₁ ND³' ON D²)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Mechanical Engineering
Fluid Mechanics

The power P generated by a pump of a given geometry is known to depend upon the impeller
diameter D, the rotational speed N, the volumetric flowrate Q, the fluid density p and the
fluid viscosity μ. Using the Buckingham □ theorem, show that the power is given by the
following expression:
P
: fn (ND³² pND²)
PN³ D5
Transcribed Image Text:The power P generated by a pump of a given geometry is known to depend upon the impeller diameter D, the rotational speed N, the volumetric flowrate Q, the fluid density p and the fluid viscosity μ. Using the Buckingham □ theorem, show that the power is given by the following expression: P : fn (ND³² pND²) PN³ D5
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