How Does Dimensional Analysis Relate Flow Rate to Propeller Speed in a Pipe?

[kris]

I have this queston:

The flow rate in a pipe is assessed by measuring the speed of rotation of a propeller having its axis along the pipe centre-line. Show by dimensional analysis that the volume flow rate, Q, is given bu the expression:

Q=(D^3).N.Phi.(d/D,(density.(D^2).N)/viscosity)

where D= diameter of the pipe,
d=diameter of the pipe
N=the rotational speed of the propeller

I'm very confused as to how to go about this, any help would be appreciated.

 

[FredGarvin]

Have you read up on the Buckingham Pi Theorem?

 

[FredGarvin]

Have you read up on the Buckingham Pi Theorem?

 

[kris]

no i haven't but i will now, thank you