### Samenvatting

Piston-cylinder assemblies are used to create a calculable pressure in a container,
which can then be used for calibration of other instruments. For this purpose one
needs to calculate the pressure in the container so accurately that both imperfections
in the piston, and the leakage of fluid or gas through the small space between cylinder
and piston have to be taken into account. Because of these effects, the piston behaves
as if its area was slightly larger than it actually is. This slightly larger area is called
the effective area of the piston-cylinder assembly, and its computation is the subject
of this report.
We derive a formula for this effective area, which under some simplifications leads
to the formula used by four European metrological institutes. The formula used by
NMi is based on a further simplification. We conclude with some recommendations
to NMi concerning which formula to use and how to compute the uncertainty in the
results.
Keywords: effective area, piston-cylinder assemblies, pressure balance, thin film
approximation.

Originele taal-2 | Engels |
---|---|

Titel | Mathematics in Industry (Proceedings 55th European Study Group Mathematics with Industry, ESGI55/SWI2006, Eindhoven, The Netherlands, January 30-February 3, 2006) |

Redacteuren | E.R. Fledderus, R.W. Hofstad, van der, E. Jochemsz, J. Molenaar, T.J.J. Mussche, M.A. Peletier, G. Prokert |

Plaats van productie | Eindhoven |

Uitgeverij | Technische Universiteit Eindhoven |

Pagina's | 1-23 |

Status | Gepubliceerd - 2006 |

## Vingerafdruk Duik in de onderzoeksthema's van 'Measure under pressure : calibration of pressure measurement'. Samen vormen ze een unieke vingerafdruk.

## Citeer dit

Caubergh, M., Draisma, J., Franx, G. J., Hek, G. M., Prokert, G., Rienstra, S. W., & Verhoeven, A. (2006). Measure under pressure : calibration of pressure measurement. In E. R. Fledderus, R. W. Hofstad, van der, E. Jochemsz, J. Molenaar, T. J. J. Mussche, M. A. Peletier, & G. Prokert (editors),

*Mathematics in Industry (Proceedings 55th European Study Group Mathematics with Industry, ESGI55/SWI2006, Eindhoven, The Netherlands, January 30-February 3, 2006)*(blz. 1-23). Technische Universiteit Eindhoven.