Merttt said:
I try to define this effect by the calculating pressure drop from vena contracta to transducer.
i cannot follow your train of thought.if this is what you are up to
i had the good fortune to wander around a power plant with a spectrum analyzer.
The output of your DP transducer will contain several frequencies.
1. Buffeting from turbulence in the pipe and particularly if your orifice is anywhere near an upstream elbow.
2. Resonant frequency of the fluid in the sensing lines against the compliance of your DP transducer, simple spring-mass harmonic motion.
3. Any mechanical motion of the sense lines in same direction they run, because the fluid is accelerated by that motion.
4. Any motion of the dp sensor itself perpendicular to plane of its sensing diaphragm, same reason. We had to relocate a lot of sensors off non-rigid mounts and onto concrete floors or the ground. Speed of nearby rotating equipment will show up. We had 6,000 horsepower pumps whose 20 hz rotating speed showed up almost everywhere.
5. Any control system actually affecting flow.
When measuring water it is important to mount the transducer below the pipe so that air bubbles will work their way out of the sense lines. You must also maintain constant slope toward the pipe, same reason. Converse is so for a dry process.
The sense lines and compliance of the sensor make a low pass filter , though not necessarily a low-Q one. So they'll attenuate turbulence at higher frequencies.
Industrial DP sensors have a damping adjustment, sometimes hydraulic more often electronic..
In extreme cases it is necessary to provide your own damping by throttling those local isolation valves immediately atop the DP sensor. In my experience that only was necessary with bellows type sensors which have large displacement.
try searching on process noise analysis
http://trace.tennessee.edu/cgi/viewcontent.cgi?article=3909&context=utk_gradthes
i have a friend in that business
http://www-pub.iaea.org/mtcd/publications/pdf/p1500_cd_web/htm/pdf/topic7/7s05_h.hashemian.pdf
observe air lowers corner frequency and raises Q.