I guess my point went misunderstood so I'l explain it.
With an orifice you have a known fixed value, that being the diameter. THAT is THE ONLY KNOWN & PHYSICALLY MEASURABLE VALUE.
Coefficient of Discharge [Cd] is a theoretical value. It is the only adjustable value assigned to the orifice itself. The only other adjustable value is the Dp across the orifice.
Cd is not a steady state value. It can and does change with changes in DP. That is why you calibrate at a specific pressure against an orifice with a reliably rated value at that specific pressure.
That all aside, what I suggested was to adjust your Cd value until you get the correct CFM Reading. It doesn't matter what the Cd is. What matters is that your formula arrives at the correct value for CFM.
So, let's say that you had to adjust your Cd to .55 to get the correct CFM reading because at .61 you are reading high. There is absolutely nothing wrong with that approach. Who cares what the value is? What you care is that you get the correct CFM value.
Sounds a little off the beaten path perhaps? Then again, you chose to follow a path that is different than a traditional orifice bench. The map coordinates may well vary to arrive at the same destination. Who cares if you went over the hills and through the valley of death instead of jumping on the Interstate and getting there fast and easy??? Getting there is what matters and unless you can account for the peculiar behavior of your Orifice In A Pipe design system by some other explanation [which so far has defied explanation], give that approach a try and see what happens.
Use that approach with more than one orifice. See if a trend exists. I wish you Good Luck
