Calibration of thermopile heat flux gauges using a physically-based equation

• Published in: Proceedings of the Institution of Mechanical Engineers. Part A, Journal of power and energy Journal of power and energy, 2021-11, Vol.235 (7), p.1806-1816
• Main Authors: Pountney, Oliver J, Patinios, Mario, Tang, Hui, Luberti, Dario, Sangan, Carl M, Scobie, James A, Owen, J Michael, Lock, Gary D
• Format: Article
• Language: English
• Subjects: Calibration; Electrical measurement; Gauges; Heat; Heat flux; Heat transfer; Insulation; Maximum likelihood estimation; Physical properties; Steady state; Temperature dependence; Thermocouples; Thermoelectric materials; Thermopiles
• ISSN: 0957-6509; 2041-2967
• DOI: 10.1177/0957650920982103

A thermopile, in which a number of thermocouple junctions are arranged on either side of a thin layer of insulation, is commonly used to determine the heat flux for steady-state measurements. Gauges using this method are available commercially and a new, generic calibration method is described here. For this purpose, an equation based on physical properties has been derived to determine the theoretical relationship between the measured voltage output of the gauge and the heat flux through it. An experimental rig has been built and used to calibrate gauges under steady-state conditions for heat fluxes between 0.5 and 8 kW/m2. The gauge temperature was controlled between 30 and 110 °C, and voltage-flux correlation – based on the theoretical relationship – was determined using maximum likelihood estimation (MLE). For tests with constant gauge temperature, there was a linear relationship between the voltage and heat flux; owing to the temperature dependency of the Seebeck constants of the thermoelectric materials, the voltage increased with increasing gauge temperature. In all cases, there was very good agreement between the measured and correlated values, and the overall uncertainty of the correlation was estimated to be less than 5% of the measured heat flux.