@DANW: You say there would be a pressure difference between the pressure tx's, so we should see a dp right on the plc provided the plc does the math?
There will be a difference in pressure readings between the two gage pressure transmitters. The PLC has to subtract the values, then normalize to percentage, then square root the normalized percent value, then assign engineering units to the resulting value. Most PLCs probably have the math capabilities to do so.
The relationship of flow to DP is a square root relationship, but that does not mean that one takes the square root of some number that is a DP value in units of water column.
Take a full scale 100"w.c. DP. The square root of 100" is 10. 10 what? gpm? liters/sec? tons/hour.
What if that same 100"w.c. is in SI metric units?
100" = 24.88kPa
square root of 24.88 is 4.987 Same question, what units?
10.0 does not equal 4.987 for the same pressure drop. How can either be the same flow rate for the same DP?
What if you've got an integer 32768 from the A/D of 32678? Square root of a 4-20mA signal? square root of 32786 is 181.01
181.01 does not equal 10 or 4.987. They're all square root values of some representation of a DP drop, right?
To take a square root, the DP is normalized to percentage, and the square root is taken on the percentage.
100.0" = 100%
24.88kPa = 100%
32786 = 100%
100% = 1.00 square root of 1.00 = 1 = 100%
64.00" = 64% of max flow
15.93kPa = 64% of max flow
64% = 0.64
square root of 0.64 = 0.80
64% of max DP = 80.0% of max flow rate
So yes, the flow rate can be calculated from the DP, but I do not recommend doing so for flow when the pressures are measured with two gage pressure transmitters.
i think the main reason here that we are not getting the dp expected at maximum valve travel. 0-100kpa ~~ 0 300 tons/per hour
You are killing the messenger.
If you are are not getting the flow you expect, it is probably not the DP transmitter that is in error. The pump isn't up to the task or the system has pressure losses you haven't accounted for. The DP/venturi is just reporting what you don't want to hear/see/know.
If is quite simple to check the calibration of a DP transmitter, in fact you can do it with a water manometer - connect some tubing to the high side, leave the low side open to atmosphere and fill the tubing with water. Measure the height of the water column. Or send it to a local cal lab and let them cal against a standard.
A modern differential transmitter is better at measuring that water column than your ability to measure the height of the water column with a tape measure. But you can assure yourself that the DP is reading closely to what it should.
Because of the combined error of two gage pressure transmitters, you might actually get those two transmitters to give you the reading you want, but it won't be a true flow rate.
The method a DP uses to make a measurement is NOT the same as two gage pressure transmitter reading subtracted from one another.
The internals of a DP transmitter are designed so that the (relatively high) applied pressures mechanically subtract one from another and the sensor is scaled to read only the (relatively low) differential pressure, producing a far more accurate reading that the subtraction of two gage pressure transmitters ranged for line pressure measurement.