Conduction and Inertia Correction for Transient Thermocouple Measurements. Part I: Analytical and Numerical Modelling

Two-wire thermocouples are often used for temperature measurements. Under transient conditions, measurement errors can occur due to capacitive inertia and heat conduction along the stem of the thermocouples. The present study presents a correction of these thermocouple measurement errors caused by t...

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Veröffentlicht in:E3S web of conferences Jg. 345; S. 1002
Hauptverfasser: Seibold, Florian, Schwab, Andreas, Dubois, Victor, Poser, Rico, Weigand, Bernhard, von Wolfersdorf, Jens
Format: Journal Article Tagungsbericht
Sprache:Englisch
Veröffentlicht: Les Ulis EDP Sciences 01.01.2022
Schlagworte:
Boundary conditions
Conduction
Conduction heating
Conductive heat transfer
Eigenvalues
Energy balance
Errors
Flow velocity
Heat transfer
Inertia
Mathematical models
Partial differential equations
Reynolds number
Temperature
Temperature measurement
Thermocouples
ISSN:2267-1242, 2555-0403, 2267-1242
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Zusammenfassung:Two-wire thermocouples are often used for temperature measurements. Under transient conditions, measurement errors can occur due to capacitive inertia and heat conduction along the stem of the thermocouples. The present study presents a correction of these thermocouple measurement errors caused by transient inertia and conductive effects using a simplified analytical approach and its numerical solution. Based on an energy balance the mathematical modelling is derived and analytically solved for specific boundary conditions. Further, numerical solutions have been implemented with different model complexities. Thereby the models show the significance of the necessary correction as well as the good agreement with theoretical considerations. A corresponding experimental validation is given in Part II.
Bibliographie:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:2267-1242
2555-0403
2267-1242
DOI:10.1051/e3sconf/202234501002