Calculation of effective area<i>A</i><sub>0</sub>for six piston–cylinder assemblies of pressure balances. Results of the EUROMET Project 740

Molinar, G F; Bergoglio, M.; Sabuga, Wladimir; Otal, Pierre; Ayyildiz, G.; Verbeek, Jos; Farár, P

doi:10.1088/0026-1394/42/6/s11

Cited by 14 publications

(9 citation statements)

References 3 publications

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“…Thus currently there is no obvious compelling mathematical or physical reason to suppose that correlation effects between the piston and cylinder diameters are significant and recent investigations such as in the EUROMET 740 project Molinar et al [10] demonstrate different opinions on whether the correlation effects ρ(r, R) are non-zero or significant enough to be included. In model (4) there is then subjectivity in ρ(r, R) and in addition a requirement that ρ(r 0 , r) and ρ(r 0 , R) be specified.…”

Section: Results and Comparison Of Different Effective Area Formulationsmentioning

confidence: 99%

“…In order to perform an accurate estimate for A 0 as per the final recommendations of Molinar et al [10] it is beneficial for a large number of piston/cylinder diameters to be available, however it should be noted that in order to perform a realistic uncertainty estimate for A 0 we should limit the input dimensional data in the MCM analysis to measurements that have been experimentally performed as an excessive number of interpolated i.e. inferred diameter data will lead to an artificially low value for u(A 0 ).…”

Section: Results and Comparison Of Different Effective Area Formulationsmentioning

confidence: 99%

“…10 −Â 0 Â 0 whereÂ 0 is the expected value based on the underlying PDF for A 0 not necessarily equal to the nominal value as discussed in Cox and Harris [11]. Based on the number of simulation events from Figure 3 for a probability of p = 0.95 i.e.…”

Section: International Journal Of Metrology and Quality Engineeringmentioning

confidence: 99%

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Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

Ramnath

2010

Int. J. Metrol. Qual. Eng.

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Abstract.A common measurement model for a gas operated piston-cylinder based pressure standard effective area is the well known integral equation formulation originally developed by Dadson of the NPL. However a problem with directly applying this exact mathematical model is that it cannot be easily cast into a functional form suitable for application of the Guide to the expression of Uncertainty in Measurement (GUM) which is reliant on the concept of sensitivity coefficients without various simplifications. In this paper, we examine the standard approximations that are currently necessary in order to directly apply the GUM for a pressure standard effective area uncertainty determination. We also compare and contrast this to the exact effective area uncertainty results obtained through the direct application of the Monte Carlo Method (MCM) which has recently been published as Supplement 1 to the GUM. Based on these investigations we also draw some preliminary conclusions on the relative merits on the extent to which the shape of the piston and cylinder radii and whose uncertainties may vary along the engagement length of the piston-cylinder may be modeled and incorporated into a piston-cylinder's effective area uncertainty calculation.

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Section: Results and Comparison Of Different Effective Area Formulationsmentioning

confidence: 99%

Section: Results and Comparison Of Different Effective Area Formulationsmentioning

confidence: 99%

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Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

Ramnath

2010

Int. J. Metrol. Qual. Eng.

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“…With commercially available pressure balances characterized as primary pressure standards, primary realization of the pressure unit with uncertainty between 1 and 10 ppm is rather common. [ 7 ] At this level of uncertainty, alternative thermodynamic pressure standards present an attractive methodology for an alternative primary realization of the pressure unit based on a different physical principle. On the other hand, in the present study, these special pressure balances now allow for the most accurate check of alternative pressure standards like the helium gas‐pressure standard discussed here.…”

Section: Experimental Setup and Related Uncertainty Componentsmentioning

confidence: 99%

Primary Gas Pressure Standard Passes Next Stress Test

2022

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In 2020, Nature Physics 16, 177 (2020) presented a primary gas‐pressure standard, based on temperature and electrical measurements and ab initio calculations of the thermophysical properties of helium. It is compared against the world's most accurate primary mechanical pressure standard and the test is successful with a relative uncertainty of 5 parts per million (ppm) at about 7 MPa. This is feasible for two reasons. First, the experimental setup developed for the determination of the Boltzmann constant is capable of achieving a combined relative uncertainty on the level of 2 ppm and the primary mechanical pressure standard 1 ppm. The latter consists of two pressure balances with five piston‐cylinder assemblies. Second, the uncertainties of the theoretical calculations in 2020 are on the level of about 4 ppm. Within the last two years, significant improvement has been achieved for all theoretical quantities involved, and the uncertainty contribution of the theory is below the level of 1 ppm. With doubled sensitivity, the thermodynamic gas‐pressure standard is compared to the most accurate mechanical pressure standard. This stress test for theory and experiment is once again successful.

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“…The standard uncertainty of the effective area was estimated to be 2.8 x 10 -6 x A 0. Circular comparisons were also carried out with other piston-cylinder units of 35 mm diameters whose effective areas had been determined over the time using different methods [7]. The relative coherencies in the effective areas were within 2 x 10 -6 .…”

Section: Vsl 223mentioning

confidence: 99%

Comparison in gas media (absolute and gauge mode)in the range from 25 kPa TO 200 kPa (EURAMET.M.P-K8)

et al. 2016

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It was decided at the EURAMET TC-M meeting in Torino in 2006 to realize a comparison in gauge and absolute pressure up to 200 kPa as it would allow establishing a link to the CCM.P-K6 and CCM.P-K2 comparisons. This project from the beginning interested a lot of laboratories with participants, 22 of which have submitted results. The circulation of the transfer standard began on July 2009 and lasted until January 2012. No major problem occurred during the transport.The mesurand of the comparison is the effective area of a piston-cylinder determined in gauge and absolute pressure from 25 kPa to 200 kPa with pressure steps of 25 kPa. The transfer standard is a gas lubricated tungsten carbide piston-cylinder with an effective area of ~9.8 cm 2 , fabricated by DH Instruments and compatible with a PG-7601 pressure balance. Some participants used their own pressure balance while a pressure balance with a reference vacuum sensor has been circulated for the participants not equipped with this system.One participant (SMU, Slovakia) has never provided the measurement results and another participant (FORCE Technology, Denmark) submitted a revised set of measurement results after the pilot laboratory mentioned that the equivalence was not met.After the determination of the reference value, all the 22 participants who delivered the results in gauge pressure demonstrated equivalence respective to the reference value on most of the range. In absolute pressure the equivalence is demonstrated, for all nominal pressures, by all 17 participants who submitted results.

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Calculation of effective areaA₀for six piston–cylinder assemblies of pressure balances. Results of the EUROMET Project 740

Cited by 14 publications

References 3 publications

Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

Primary Gas Pressure Standard Passes Next Stress Test

Comparison in gas media (absolute and gauge mode)in the range from 25 kPa TO 200 kPa (EURAMET.M.P-K8)

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Calculation of effective areaA0for six piston–cylinder assemblies of pressure balances. Results of the EUROMET Project 740

Cited by 14 publications

References 3 publications

Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

Primary Gas Pressure Standard Passes Next Stress Test

Comparison in gas media (absolute and gauge mode)in the range from 25 kPa TO 200 kPa (EURAMET.M.P-K8)

Contact Info

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Calculation of effective areaA₀for six piston–cylinder assemblies of pressure balances. Results of the EUROMET Project 740