To think that you can infer a total-stream density from a measured vibration frequency is pretty cool. But they are "measuring" frequency and using some lab data to back into a density.
A useful reminder, zdas04, not to assume too much and to revert back to first principles occasionally, especially when moving outside the comfort zone.
Yes, often what we actually measure is some other property. It isn't always possible to measure what we want to measure so we measure something that we can measure and we characterise the variation of this property against the property we are interested in.
I know my mobile phone works and most times that is enough and quite how actually works, I have no idea. Wherever I am the system finds me and I get my calls and not someone else's.
Do I need to know any more? No, unless, of course, I move outside the normal parameters and I go to the US.
I assume that because it works in Europe that it will work on the US and that isn't a given. It depends on whether I have quad band or whatever.
The same for instruments. I suspect fewer people today try to understand exactly how coriolis meters or density meters actually work because they no longer have that credibility gap to overcome. They work and all any one seems to worry about are features, the physics is accepted.
So we don't actually measure density, we measure resonant frequency.
That means we have to calibrate the resonant frequency against a lab value.
Some density meters are calibrated against picnometers and some against master meters.
Some receive a single point calibration and a fudged offset. Some receive a two fluid calibration (and one of them is air) others a three point cal (sometimes one is air sometimes a liquid).
What does this matter?
Well, the frequency doesn't vary linearly with the density. In fact, the resonant frequency actually varies with the effective mass of the vibrating system which includes the air on the outside, the effective mass of the sensor and the mass of the fluid it contains.
The sensor mass varies only if it is eroded or coated with something.
The fluid mass changes with the volume of the containment which can vary with temperature and with pressure. High pressure can also change the actual density of the fluid. Some sensors are more sensitive to the fluid viscosity than others and to velocity of sound effects and so on.
Oh yes, it also varies with the fluid density.
A variation is used for gases.
This technique is one of the methods used in aircraft altimeters. The vibrating spool sensor was, at one time, used as a reference for pressure sensor calibration and a popular demo on open days was to use it to measure people's heights. Actually, to infer peoples heights and it had to be frequently recalibrated to compensate for atmospheric pressure changes.
OK, height, pressure, density..... what you measure is the resonant frequency. What you infer depends on what you want to know. So this same sensor is sued as part of an altimeter and to determine gas SG and gas density.
Now, to the point of the original post: some (many) vibrating element sensors for liquids are very vulnerable to entrained air.
Some, but not all.
One tube density meter is available for entrained air applications which means it can handle 100% liquid through to 100% gas (the trade off is accuracy). Some significant advances have been made in measuring gas entrained fluids with coriolis meters but the trade off is accuracy. (BP recently ran some trials with a 12" Coriolis on fuel oil and the accuracy fell off quite a bit from the single phase fluid measurement).
But this is a big advance; in the early days, just a few bubbles and you lost the whole measurement.
So how you approach a multiphase flow situation is problematic. You may take quite a hit on accuracy but does it justify itself on cost?
JMW