Small superflow bench scaling and correlation to larger bench

[dfoxengr]

Hopefully this is the best place for this question.

I am using a Superflow 1020 orifice bench and am tasked with correlating results to a much larger 40y/o manometer type orifice bench. The range of pressure on the 1020 is ~0 to -17"h2o and the large bench is something like 0 to -250"h20.

Questions is this:
What equations are there to scale up the small flow results to the larger bench's values based on pressure correction?

It has been awhile since I have studied fluids and have been working in vehicle dynamics and vibrations lately.

 

[dfoxengr]

after some searching I used eqn. 6 here:

http://en.wikipedia.org/wiki/Orifice_plate

used my known small bench data (mass flow rate,k, and pressure ratio) to coefficients (C*A*sqrt(2M/ZR)) in one variable "X"

then I resolved using this "X" and a new pressure ratio to get a new mass flow rate.

this seems to provide a close value to the known large bench data.