Rainer Engel, Hans-Joachim Baade
Water Density Determination in High-Accuracy Flowmeter Calibration - Measurement Uncertainties and Practical Aspects
In liquid flowmeter calibration, the fluid density is one of the major quantities which impact the uncertainties in the measurement process of calibration. Thus, the in-process density determination in liquid flow standards reveals to be an essential component in the measurement uncertainty analysis.
In the case when a volume-reading flowmeter is calibrated against a gravimetric reference system, the accurate density value of the actual fluid applied in the calibration facility must be available, by measurement or computation, in order to convert the respective volumetric meter reading into an equivalent mass value. That is necessary as the reading of the meter under test (MUT) has to be compared with the reading of the gravimetric reference.
Additionally, fluid-density related impacts on the measurement uncertainty in a flow standard facility occur in the intermediate pipework which connects the meter under test with the reference device, i.e. the volumetric or gravimetric standard. Due to the difference in the thermal expansion coefficients of the pipework’s material and the enclosed water, a systematic measurement deviation is caused if the temperature of the water and the pipework is varying during a calibration run. Practically, such temperature fluctuations always occur, due to varying ambient conditions and a more or less imperfect regulation of the water temperature in the flow facility. Thermal expansion implies a change in the fluid density. Thus, this effect, too, has to be taken into account for analyzing the measurement uncertainty of a flow standard facility.
This second density-related disturbing effect generally occurs in any calibration facility, regardless whether the meter reading is volume-related or mass-related, and in any combination with a gravimetric or volumetric reference standard.
A main issue of this paper is the practical aspect how to determine the water density in the calibration facility under real conditions or referred to real conditions and to derive approximation functions which describe the temperature behavior of water density and which are suitable to be applied for uncertainty analysis purposes.