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(t, P):
-
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
References
J.D. Brionizio, J.G. Skabar, Metrologia 50, 03010 (2013)
BIPM, IEC, IFCC, ILAC, IUPAC, IUPAP, OIML, Guide to the Expression of Uncertainty in Measurement, 1st edn., 2008 (\(\copyright \) JCGM 100:2008), http://www.bipm.org/en/publications/guides/#gum. Accessed 28 October 2014
J. Lovell-Smith, Uncertainty Analysis for Humidity Generators - I.R.L. Report \(\text{ N }^{o}\) 988 - Measurement Standards Laboratory of New Zealand (April 2000)
J. Lovell-Smith, Metrologia 46, 607 (2009)
BIPM, IEC, IFCC, ILAC, IUPAC, IUPAP, OIML, Supplement 1 to the Guide to the Expression of Uncertainty in Measurement, (\(\copyright \) JCGM 101:2008), http://www.bipm.org/en/publications/guides/#gum. Accessed 28 October 2014
V. Carpentier, M. Megharfi, J. Quint, M. Priel, M. Desenfant, R. Morice, Metrologia 4, 432 (2004)
Operation and Maintenance Manual of Series 2500 Bench Top Two-Pressure Humidity Generator (\(\copyright \) 1991–2001 Thunder Scientific Corporation), http://www.thunderscientific.com/tech_info/index.html. Accessed 28 October 2014
R. Hardy, Papers and Abstracts from the Third ISHM 1998, vol. 1 (NPL, London, 1998), pp. 214–222
The BIPM key comparison data base, CMCs in Mass and Related Quantities and Thermometry, Argentina, INTI http://kcdb.bipm.org/appendixC/. Accessed 28 October 2014
A. Wexler, L. Greenspan, J. Res. Natl. Bur. Stand. A 80A, 775 (1976)
A. Wexler, J. Res. Natl. Bur. Stand. A 81A, 50 (1977)
D. Sonntag, Z. Meteorol. 40, 340 (1990)
L. Greenspan, J. Res. Natl. Bur. Stand. A 80A, 41 (1976)
R.W. Hyland, J. Res. Natl. Bur. Stand. A 79A, 551 (1975)
R. Hardy, RH Uncertainty Analysis of the Thunder Scientific Model 2500 Two-Pressure Humidity Generator (\(\copyright \) 1998, Thunder Scientific Corporation), http://www.thunderscientific.com/tech_info/index.html. Accessed 28 October 2014
J. Lovell-Smith, Metrologia 43, 556 (2006)
M. Matsumoto, T. Nishimura, ACM Trans. Model. Comput. Simul. 8, 3 (1998)
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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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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DOI: https://doi.org/10.1007/s10765-015-1905-4