I shall be commissioning a densitometer for dilution control duty next week. It replaces an earlier coriolis meter.
I have chosen a vibrating tube density meter which has bellows at either end of the tube (stainless steel, triple ply). The bellows ensure that the temperature effects are minimised (as temperature changes it would otherwise introduce added stress into the tube as well as increase the contained volume of fluid).
Having said that and having had it calibrated traceable back to national standards per the end users request, during commissioning it can only be tested against the operators local standard. I have a suspicion that this will probably be a hydrometer though if I is an Anton Paar hand-held density meter I will be happy.
The point is that in some process applications it is not the absolute accuracy that is important but the repeatability and the ability to fit the measurement to the existing off-line sample testing regime that has been in place for some years and around which plant management will have been optimised.
In such cases a simple density off-set value is quite acceptable if appropriately applied.
In my case the frequency is converted to density using:
Density = K
0 + K
1T + K
2T
2
K
n are constants and T is the periodic time (1/f).
This calculation is then corrected for Youngs Modulus and various other small but measurable effects to arrive at the density at the process temperature.
A matrix is then used to convert the density at process temperature to the density at a reference temperature. It is then optional to use a special expression or to simply scale the resultant density to obtain the concentration (concentration may not be linear with density).
When being commissioned the concentration determined by the density meter will be compared to that determined by the local off-line method.
To make a simple density off-set correction it is necessary to add or subtract the density difference from or to K
0 i.e. not to adjust the reference temperature density but the density determined at the operating temperature.
If it is a simple offset error then this is OK but if the error varies with concentration or with temperature then it is the referral matrix that must be adjusted i.e. the method by which the density at the process temperature is corrected to the density at a reference temperature. In the case of NaOH the source data is easily obtained but it may also depend on the method used in the software.
Different manufacturers use different techniques.
(See the FAQ section for caustic dilution control.)
JMW