Bilateral Comparative Pressure Measurements of the LNE and the PTB Using 10 cm<sup>2</sup> Piston-Cylinder Assemblies

Klingenberg, G.; Legras, J C

doi:10.1088/0026-1394/30/6/011

Cited by 10 publications

(20 citation statements)

References 1 publication

(6 reference statements)

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“…We remain eager to widen our set of theoretical models of PCA geometries in future, to deepen our insight into the possible behaviour of the effective area. However, at the moment the most important benefit is the confirmation of the correctness of our implementation of the algorithm of Dadson et al, although it is only one segment in a chain leading to a complete primary determination of the effective area, its uncertainty and comparison with the cross-float results, see [1][2][3][4][5][6][7][8][9]12].…”

Section: Discussion and Plansmentioning

confidence: 99%

“…which can be obtained from equation ( 1) by considering a constant (or practically constant) gap, see [2,3]. Hence, it can be concluded that the effective area depends on two constants: r 0 and l; three functions of z: u, U and h and one dimensionless parameter q.…”

Section: General Equationsmentioning

confidence: 99%

“…Pressure balances can serve both as the secondary and the primary standards, but only the latter is witin the scope of this paper. Many national metrology institutes utilize gas operated pressure balances evaluated in a primary way as the backbone of their traceability chain for pressure [1][2][3][4][5][6][7][8][9]. Moreover, these instruments also proved their advantages in experiments to determine the Boltzmann constant during the NewSI campaign [10,11].…”

Section: Introductionmentioning

confidence: 99%

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Analytical solutions of some model cases of piston-cylinder assemblies

Pražák,

Hajduk,

Krajíček

et al. 2021

Meas. Sci. Technol.

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Pressure balances are an important part of the sets of primary pressure standards in many national metrology institutes. The most critical factor determining their accuracy is the effective area of their piston-cylinder assemblies (PCAs). This can be determined (for PCAs with undistorted pressure) by applying a numerical procedure based on a theory by Dadson while knowing a gapprofile (of an axisymmetric PCA approximation). The pressure balances are also a basis for the primary pressure scale of the Czech Metrology Institute. Hence, we wanted to test our programme by computing the effective area from the geometrical data. Therefore, we solved the analytical formulae of Dadson et al (1982) The Pressure Balance—Theory and Practice (London: Her Majesty’s Stationery Office) for several simple geometries with a constant gap width, which are easy to calculate analytically. It is shown that the analytical results always agreed perfectly with the results of our programme. This success confirmed the correctness of our programme. However, it also pointed out a problem of discretization which can be non-negligible, even in the case of relatively simple geometries. We assume that the analytical formulae obtained can be of practical use for any other pressure metrology laboratory requiring an independent way to confirm their own PCA-modelling software.

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Section: Discussion and Plansmentioning

confidence: 99%

Section: General Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical solutions of some model cases of piston-cylinder assemblies

Pražák,

Hajduk,

Krajíček

et al. 2021

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…An example of this is the calibration of the diameter of a cylindrical tungsten carbide transfer standard (D = 35 mm). This cylindrical standard is part of a pressure balance [3] and serves as a transfer standard for CCM 1 MPa comparison among the NIST, LNE, IMGC and PTB. The required uncertainty for the diameter calibration amounts to U = 0.01-0.03 µm [3,4].…”

Section: Introductionmentioning

confidence: 99%

“…This cylindrical standard is part of a pressure balance [3] and serves as a transfer standard for CCM 1 MPa comparison among the NIST, LNE, IMGC and PTB. The required uncertainty for the diameter calibration amounts to U = 0.01-0.03 µm [3,4]. To achieve the required uncertainty the stability of the measuring frames was improved, the adjustment procedures for instrument optics and the measurement procedure itself were optimized; moreover, the uncertainty with which the refractive index of air can be determined and the influence of thermal radiation were reduced.…”

Section: Introductionmentioning

confidence: 99%