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Uncertainty Estimations for Standard Humidity Generator of INTI

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Abstract

Two methods for the uncertainty estimation in the dew/frost-point temperature and relative humidity are shown. The uncertainty estimation was performed propagating the uncertainties of pressure and temperature measurements in the corresponding equations in the classic method, and propagating the distributions of the input variables, pressure and temperature, (Monte Carlo simulation) in an alternative method. The results obtained by the different methods are compared for analyzing the validity of the uncertainty calculations, and the assumption of negligible correlations between the input variables. The agreement between the presented uncertainty analysis and the outcomes of the comparison with INMETRO is discussed.

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Abbreviations

rh :

Relative humidity

\(t_\mathrm{dew}\) :

Dew-point temperature

\(t_\mathrm{frost}\) :

Frost-point temperature

\(e_\mathrm{w}(t)\) :

Vapor pressure

f(tP):

Enhancement factor

\(P_\mathrm{s}\) :

Total pressure in saturator

\(P_\mathrm{c}\) :

Total pressure in test chamber

\(t_\mathrm{s}\) :

Temperature in saturator

\(t_\mathrm{c}\) :

Temperature in test chamber

u(rh):

Standard uncertainty in relative humidity

\(u(t_\mathrm{dew})\) :

Standard uncertainty in dew-point temperature

\(u(t_\mathrm{frost})\) :

Standard uncertainty in frost-point temperature

\(u(e_\mathrm{w})\) :

Standard uncertainty in vapor pressure equation

u(f):

Standard uncertainty in enhancement factor equation

\(u(P_\mathrm{s})\) :

Standard uncertainty of saturation pressure measurement

\(u(P_\mathrm{c})\) :

Standard uncertainty of chamber pressure measurement

\(u(t_\mathrm{s})\) :

Standard uncertainty of saturation temperature measurement

\(u(t_\mathrm{c})\) :

Standard uncertainty of chamber temperature measurement

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Acknowledgments

The author thanks M. S. Valdora of the Instituto de Calculo de la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires (IC-FCEyN-UBA) and K. Bastida and G. Mingolla of the Instituto Nacional de Tecnología Industrial (INTI), for useful discussions and the revision of the work. This work was funded by the Argentina Government as part of INTI’s activities to maintain the national measurement standards.

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Correspondence to J. Garcia Skabar.

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Garcia Skabar, J. Uncertainty Estimations for Standard Humidity Generator of INTI. Int J Thermophys 36, 2172–2184 (2015). https://doi.org/10.1007/s10765-015-1905-4

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