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CMF010 (2 mm size, 60 g/s f.s.) Coriolis flowmeter: relative deviation of measured value with respect to calibration module and calculated pressure drop vs. mass flow

CMF010 (2 mm size, 60 g/s f.s.) Coriolis flowmeter: relative deviation of measured value with respect to calibration module and calculated pressure drop vs. mass flow

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Beginning in the 1980's, Coriolis meters have gained generalised acceptance in liquid applications with a worldwide installed base of over 300,000 units. To meet the demands of cryogenic applications below 20 K, off-the-shelf Coriolis meters have been used, with minor design modifications and operational changes. The meters were originally calibrat...

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... performance (accuracy, reproducibility, pressure drop, zero stability) at nominal working conditions (supercritical helium at 5 K and 0.3 MPa) was first assessed in a test cryostat built and designed at CERN [1]. The following step was to test the flowmeter accuracy to metrological standard in a calibration module of absolute type, designed and built at IMGC (Ital y) [4], with accuracy of better than 0.5 % in liquid, superfluid and supercritical helium, between 1.7 K and 20 K. Figure 3 and 4 summarize the tests performed on two sizes of meters at various temperatures and helium fluid state (liquid, supercritical and superfluid). The final accuracy of the meters depends on the zeroing procedure in the lower range and in the accuracy of the measurement of the Young's modulus. ...

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Citations

... Coriolis mass flowmeters (CMF) have been widely used for accurate mass flow measurement of a number of fluids [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Literature reviews of the development on CMF have been given in [15][16][17][18]. ...
... The Poisson's ratio also reduces at LNG temperature. At 120 K, thermal contraction of tube geometry term ( ( + ) 3 K. However, based on calibration of a U-tube CMF using LNG mass flow standard [22], the absolute deviations in mass flow measurement (from reference standard) are all below 0.49% for 1-4 kg/s range (without correction of the term kex ). ...
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We have proposed new methods to reduce the LNG mass flow measurement uncertainty using Coriolis mass flowmeters (CMF). Since the uncertainty in the corrected Young’s modulus of meter tube is the dominating contribution factor, it is proposed to derive the Young’s modulus at LNG temperature using the calculated LNG density and the natural bending frequency measurement. The expanded uncertainty of the calculated Young’s modulus is evaluated to be 0.071%, which will enable the LNG mass flow measurement uncertainty of a straight-tube CMF to be reduced from 0.50% to 0.20% (k=2). This approach has the potential to provide more accurate LNG mass flow measurement in comparison to conventional methods which use the corrected Young’s modulus at LNG temperature. We have analysed the error in flow measurement using a U-tube CMF. An extra mass flow factor is shown to be the dominating mass flow measurement uncertainty factor due to high uncertainty in the measured Poisson’s ratio of the tube. A new method is proposed to calculate the Poisson’s ratio from torsional frequency and bending frequency measurements, with expanded uncertainty of 0.14%, 13 times lower than that of measured values. The LNG mass flow measurement uncertainty of a U-tube CMF is estimated to be to 0.24% (k=2) using the calculated Poisson’s ratio and Young’s modulus. Our theoretical analysis shows that accurate estimation of Young’s modulus and Poisson’s ratio can significantly reduce the LNG mass flow measurement uncertainty using CMF.
... CMFs have been used for cryogenic fluid mass flow measurement as reported in [87,[90][91][92][93][94][95][96][97][98]. The performance of CMF in mass flow measurement at cryogenic temperatures has been studied in [99] with consideration of the major changes of material properties. ...
... A CMF was customised for measuring liquid Helium (LHe) mass flowrate at 0.4 -29 g/s in [91]. The results showed a systematic error of +1.2% at 4.5 K when calibrated by a metrological LHe flow standard [91,108]. ...
... A CMF was customised for measuring liquid Helium (LHe) mass flowrate at 0.4 -29 g/s in [91]. The results showed a systematic error of +1.2% at 4.5 K when calibrated by a metrological LHe flow standard [91,108]. The expanded measurement uncertainty of the cryogenic LHe flow standard at 1.7 -20 K is 0.5% [91,108]. ...
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The uncertainty of Coriolis mass flowmeter (CMF) has been investigated for liquefied natural gas (LNG) mass flowrate measurement. The expanded uncertainty of the Young's modulus of stainless steel 316 measured by NIST is evaluated to be 1.90%, taking into consideration the lot-to-lot variability of the material. We have shown that the corrected Young's modulus value at cryogenic temperature (120 K) has a smaller expanded uncertainty of 0.47%, through calibration of the CMF using traceable water calibration facility and a correction term to compensate the Young's modulus change from ambient to cryogenic temperature of 120 K. We have evaluated other mass flowrate measurement uncertainty factors including thermal expansion, pressure correction effect, temperature measurement, zero stability and meter repeatability. The expanded uncertainty of a CMF for LNG flowrate measurement is estimated to be 0.50% with the uncertainty coverage factor k=2. The dominating component is from the uncertainty of the corrected Young's modulus for stainless steel at cryogenic temperature. This uncertainty analysis shows that a CMF can provide very accurate mass flowrate measurement for LNG custody transfer.
... CMFs have been used for cryogenic fluid mass flow measurement as reported in [87,[90][91][92][93][94][95][96][97][98]. The performance of CMF in mass flow measurement at cryogenic temperatures has been studied in [99] with consideration of the major changes of material properties. ...
... A CMF was customised for measuring liquid Helium (LHe) mass flowrate at 0.4 -29 g/s in [91]. The results showed a systematic error of +1.2% at 4.5 K when calibrated by a metrological LHe flow standard [91,108]. ...
... A CMF was customised for measuring liquid Helium (LHe) mass flowrate at 0.4 -29 g/s in [91]. The results showed a systematic error of +1.2% at 4.5 K when calibrated by a metrological LHe flow standard [91,108]. The expanded measurement uncertainty of the cryogenic LHe flow standard at 1.7 -20 K is 0.5% [91,108]. ...
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The uncertainty of Coriolis mass flowmeter (CMF) has been investigated for liquefied natural gas (LNG) mass flowrate measurement. The expanded uncertainty of the Young's modulus of stainless steel 316 measured by NIST is evaluated to be 1.90%, taking into consideration the lot-to-lot variability of the material. We have shown that the corrected Young's modulus value at cryogenic temperature (120 K) has a smaller expanded uncertainty of 0.47%, through calibration of the CMF using traceable water calibration facility and a correction term to compensate the Young's modulus change from ambient to cryogenic temperature of 120 K. We have evaluated other mass flowrate measurement uncertainty factors including thermal expansion, pressure correction effect, temperature measurement, zero stability and meter repeatability. The expanded uncertainty of a CMF for LNG flowrate measurement is estimated to be 0.50% with the uncertainty coverage factor k=2. The dominating component is from the uncertainty of the corrected Young's modulus for stainless steel at cryogenic temperature. This uncertainty analysis shows that a CMF can provide very accurate mass flowrate measurement for LNG custody transfer.
... It has been demonstrated, in particular, that the relationship of Young's modulus with respect to temperature is non-linear. In Ref. [46], the authors tested a Coriolis meter at cryogenic temperature (Fig. 12). As described above, a typical Coriolis meter needs to temperature measurements, for compensating the vibration characteristics of the sensing element. ...
... Electronic readout circuitry is less complex in the case of thermal, Coriolis and virtual flowmeters, where output is provided as a voltage and therefore a data acquisition card is needed. A capacitance-to-digital converter and a DSP are used in the case of the Fig. 12. Architecture of a Coriolis flow meter [46]. A collector (manifold) splits the flow into two parallel tubes, which are vibrated at a resonant frequency. ...
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... In comparing the Venturi meter with the orifice meter, V-Cone [16] and the Coriolis mass flow meter [17], both the cost of installation and the cost of operation must be considered. (1): Using a device with higher nominal flow rate, the pressure drop could be reduced in compensation the turn down is reduced too and the required installation space enlarged (2): There is no information in the literature about the long term experience at low temperature conditions (3): Pressure transducer, differential pressure transducer and temperature measurement necessary (4): Stationary flow conditions without any capillary effect (5): Upstream length enlarged factor 2 compared to Venturi tubes (6): Upstream length reduced compared to Venturi tube – statement of manufacturer ...
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... Each circuit connected to the pressure transducer is provided with an additional small volume in order to prevent any thermo-acousticoscillation . The liquid helium mass flow is measured by means of both a cryogenic Coriolis [2] mass flow meter and a Venturi mass flow meter installed in series. The latter was installed since it was not known whether the vibrations introduced by the centrifugal pump could somehow interfere with the resonant oscillating system used in the Coriolis mass flow meter. ...
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