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Error estimation of temperature measurements in non-isothermal shear layers

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Abstract

A simple analytical model has been developed to estimate the error of an invasive temperature measurement technique in a non-isothermal environment. The error depends significantly on the sensor geometry and the temperature distribution of the surrounding fluid. The problem is described in such a way that the model can easily be adapted to other sensor geometries.

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Reference

  • Baehr HD, Stephan K (2006) Heat and mass transfer, 2nd edn. Springer, Berlin

    Book  Google Scholar 

  • Baker B (1998) Temperature sensing technologies. http://www.sskteracon.com/ExternalFiles/00002.pdf

  • Childs P, Greenwood J, Long C (2000) Review of temperature measurement. Rev Sci Instrum 71(8):2959–2978. doi:10.1063/1.1305516

    Article  Google Scholar 

  • du Puits R, Resagk C, Tilgner A, Busse FH, Thess A (2007a) Structure of thermal boundary layers in turbulent Rayleigh-Benard convection. J Fluid Mech 572:231–254. doi:10.1017/S0022112006003569

    Article  MATH  Google Scholar 

  • du Puits R, Resagk C, Thess A (2007b) Mean velocity profile in confined turbulent convection. Phys Rev Lett 99(23). doi:10.1103/PhysRevLett.99.234504

  • Gnielinski V (1975) Berechnung mittlerer Wärme- und Stoffübergangskoeffizienten an laminar und turbulent überströmten Einzelkörpern mit Hilfe einer einheitlichen Gleichung. Forsch Ing-wes 41:145–153. doi:10.1007/BF02560793

    Article  Google Scholar 

  • Incropera F, DeWitt D (1996) Fundamentals of heat and mass transfer, 4th edn. Wiley, New York

    Google Scholar 

  • Kobus C (2006) True fluid temperature reconstruction compensating for conduction error in the temperature measurement of steady fluid flows. Rev Sci Instrum 77(3, Part 1). doi:10.1063/1.2186211

  • Kukuruznyak D, Miller J, Gregg M, Ohuchi F (2005) Fast response thin-film thermistor for measurements in ocean waters. Rev Sci Instrum 76(2). doi:10.1063/1.1851494

  • Li FC, Wang DZ, Kawaguchi Y, Hishida K (2004) Simultaneous measurements of velocity and temperature fluctuations in thermal boundary layer in a drag-reducing surfactant solution flow. Exp Fluids 36(1):131–140. doi:10.1007/s00348-003-0687-9

    Article  Google Scholar 

  • Li J, Lockhart J, Boretsky P (2004) Cryogenic precision digital temperature control with peaked frequency response. Rev Sci Instrum 75(5, Part 1):1182–1187. doi:10.1063/1.1710691

    Article  Google Scholar 

  • Lui SL, Xia KQ (1998) Spatial structure of the thermal boundary layer in turbulent convection. Phys Rev E 57(5, Part B):5494–5503. doi:10.1103/PhysRevE.57.5494

    Article  Google Scholar 

  • Lyons B, Samulski T, Britt R (1985) Temperature-measurement in high thermal-gradients: 1. The effects of conduction. Int J Radiat Oncol Biol Phys 11(5):951–962. doi:10.1016/0360-3016(85)90118-X

    Article  Google Scholar 

  • Maystrenko A, Resagk C, Thess A (2007) Structure of the thermal boundary layer for turbulent Rayleigh-Benard convection of air in a long rectangular enclosure. Phys Rev E 75(6, Part 2). doi:10.1103/PhysRevE.75.066303

  • McGee T (1988) Principles and methods of temperature measurement, 1st edn. Wiley-Interscience, New York

    Google Scholar 

  • Samulski T, Lyons B, Britt R (1985) Temperature-measurements in high thermal-gradients: 2. Analysis of conduction effects. Int J Radiat Oncol Biol Phys 11(5):963–971. doi:10.1016/0360-3016(85)90119-1

    Article  Google Scholar 

  • Singh V, Eaton F, Rubio R (1992) The effects of prongs in the measurement of atmospheric-turbulence with fine-wire resistance transducers. J Atmos Ocean Technol 9(2):164–168. doi:10.1175/1520-0426(1992)009<0164:TEOPIT>2.0.CO;2

    Google Scholar 

  • Tagawa M, Nagaya S, Ohta Y (2001) Simultaneous measurement of velocity and temperature in high-temperature turbulent flows: a combination of LDV and a three-wire temperature probe. Exp Fluids 30(2):143–152. doi:10.1007/s003480000149

    Article  Google Scholar 

  • Whitaker S (1972) Forced convection heat-transfer correlations for flow in pipes, past flat plates, single cylinders, single sphere and for flow in packed-beds and tube bundles. AICHE J 18(2):361–371. doi:10.1002/aic.690180219

    Article  Google Scholar 

  • Z’Graggen A, Friess H, Steinfeld A (2007) Gas temperature measurement in thermal radiating environments using a suction thermocouple apparatus. Meas Sci Technol 18(11):3329–3334. doi:10.1088/0957-0233/18/11/010

    Article  Google Scholar 

Download references

Acknowledgments

The authors wish to acknowledgement the financial support for the Deutsche Forschungsgemeinschaft under the grant number TH 497/22-1. We also thank André Thess for fruitful and inspiring discussions and Vigimantas Mitschunas and Klaus Henschel for the technical support during the temperature measurement.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Ilmenau University of Technology, PO Box 100565, 98694, Ilmenau, Germany

    Robert Kaiser & Ronald du Puits

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  1. Robert Kaiser
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  2. Ronald du Puits
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Correspondence to Robert Kaiser.

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Kaiser, R., du Puits, R. Error estimation of temperature measurements in non-isothermal shear layers. Exp Fluids 53, 137–143 (2012). https://doi.org/10.1007/s00348-012-1271-y

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  • DOI: https://doi.org/10.1007/s00348-012-1271-y

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