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Estimating Surface Temperature of a Calibration Apparatus for Contact Surface Thermometers from Its Internal Temperature Profile

  • I. SaitoEmail author
  • T.  Nakano
  • J. Tamba
TEMPMEKO 2016
  • 216 Downloads
Part of the following topical collections:
  1. TEMPMEKO 2016: Selected Papers of the 13th International Symposium on Temperature, Humidity, Moisture and Thermal Measurements in Industry and Science

Abstract

A calibration apparatus for contact surface thermometers was developed. Temperature of the upper surface of a copper cube of the calibration apparatus was used as reference surface temperature, which was estimated at around \(50\,{^{\circ }}\hbox {C}\), \(100\,{^{\circ }}\hbox {C}\), and \(150\,{^{\circ }}\hbox {C}\) by not only two conventional industrial platinum resistance thermometers (IPRTs) but also five small-sized platinum resistance thermometers (SSPRTs) calibrated based on the International Temperature Scale of 1990 (ITS-90). These thermometers were inserted horizontally into the copper cube and aligned along the center axis of the copper cube. In the case of a no-load state without anything on the upper surface, the temperature profile inside the copper cube linearly decreased from the lower part to the upper surface, which suggests that the heat conduction inside the copper cube can be regarded as a one-dimensional steady state. On the other hand, in the case of a transient state just after the contact surface thermometer was applied to the upper surface, the temperature profile became a round shape. We obtained good agreement between the curvature of the temperature profiles and the results estimated by using an error function used for a one-dimensional transient heat conduction problem. The temperature difference between the estimated temperature by linear extrapolation using two IPRTs and that by extrapolation using the error function was within \(0.2\,{^{\circ }}\hbox {C}\) in the transient state at around \(150\,{^{\circ }}\hbox {C}\). Over 10 min after the contact surface thermometer was applied, the temperature profile showed a linear shape again, which indicated that linear extrapolation using two IPRTs was well for the estimation of the reference surface temperature because the heat conduction state inside the copper cube came back to the one-dimensional steady state. Difference between the surface temperature and temperature detected by the contact surface thermometer was also observed after the contact surface thermometer touched on the upper surface. The difference was over \(0.1\,{^{\circ }}\hbox {C}\) at several minutes after the contact surface thermometer touching on the reference surface and was suppressed with passing time in the transient state and became negligible over 10 min.

Keywords

Calibration apparatus Measurement uncertainty Surface temperature measurement Surface thermometer 

Notes

Acknowledgements

We thank Anritsu Meter Co., Ltd. for their cooperation in developing and providing the surface thermometer and dedicated device for this study. We also thank members of the thermometry and frontier thermometry sections in NMIJ/AIST for the valuable discussions.

References

  1. 1.
    H. Preston-Thomas, Metrologia 27, 3 (1990). doi: 10.1088/0026-1394/27/1/002 ADSCrossRefGoogle Scholar
  2. 2.
    M. de Groot, High Temp. Press. 29, 591 (1997). doi: 10.1068/htps3 CrossRefGoogle Scholar
  3. 3.
    F. Bernhard, S. Augustin, H. Mammen, K.D. Sommer, E. Tegeler, M. Wagner, U. Demisch, in Proceedings of TEMPMEKO ’99, 7th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by J.F. Dubbeldam (NMi Van Swinden Laboratorium, Delft, 1999), pp. 257–262Google Scholar
  4. 4.
    R. Morice, E. András, E. Devin, T. Kovács, in Proceedings of TEMPMEKO 2001, 8th International Symposium on Temperature and Thermal Measurements in Industry and Science, ed. by B. Fellmuth, J. Seidel, G. Scholz (VDE-Verlag, Berlin, 2001), pp. 1111–1116Google Scholar
  5. 5.
    E. András, in Proceedings of XVII IMEKO World Congress, Metrology in the 3rd Millennium, ed. by D. Ilic, M. Borsic, J. Butorac (HMD - Croatian Metrology Society, Dubrovnik, 2003), pp. 1598–1603Google Scholar
  6. 6.
    E. András, Report of EUROMET Project No. 635 (2003)Google Scholar
  7. 7.
    M. Lidbeck, J. Ivarsson, E. András, J.E. Holmen, T. Weckström, F. Andersen, Int. J. Thermophys. 29, 414 (2007). doi: 10.1007/s10765-007-0303-y ADSCrossRefGoogle Scholar
  8. 8.
    F. Yebra, H. González-Jorge, L. Lorenzo, M. Campos, J. Silva, F. Troncoso, J. Rodríguez, Metrologia 44, 217 (2007). doi: 10.1088/0026-1394/44/3/008 ADSCrossRefGoogle Scholar
  9. 9.
    L. Rosso, N. Koneva, V. Fernicola, Int. J. Thermophys. 30, 257 (2008). doi: 10.1007/s10765-008-0495-9
  10. 10.
    F. Arpino, V. Fernicola, A. Frattolillo, L. Rosso, Int. J. Thermophys. 30, 306 (2009). doi: 10.1007/s10765-008-0451-8 ADSCrossRefGoogle Scholar
  11. 11.
    G. Beges, M. Rudman, J. Drnovsek, Int. J. Thermophys. 32, 396 (2010). doi: 10.1007/s10765-010-0903-9 ADSCrossRefGoogle Scholar
  12. 12.
    B.E. Adams, A.M. Hunter, in Temperature: Its Measurement and Control in Science and Industry, vol. 8, ed. by C.W. Meyer (AIP Publishing LLC, New York, 2013), pp. 909–914. doi: 10.1063/1.4819665
  13. 13.
    K. Yamazawa, K. Anso, J.V. Widiatmo, J. Tamba, M. Arai, Int. J. Thermophys. 32, 2397 (2011). doi: 10.1007/s10765-011-1040-9 ADSCrossRefGoogle Scholar
  14. 14.
    J. Tamba, I. Kishimoto, M. Arai, in Temperature: Its Measurement and Control in Science and Industry, vol. 7, ed. by D.C. Ripple (AIP PRESS, New York, 2003), pp. 963–968. doi: 10.1063/1.1627253
  15. 15.
    Japan Society of Mechanical Engineers, in JSME Data Book: Heat Transfer, 5th edn., ed. by Shigefumi NISHIO (Japan Society of Mechanical Engineers, Japan, 2009)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.National Metrology Institute of Japan (NMIJ)National Institute of Advanced Industrial Science and Technology (AIST)TsukubaJapan

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