Thermal diffusivity measurements in solids by photothermal infrared radiometry: Influence of convection-radiation heat losses

K. Martínez, E. Marín, C. Glorieux, A. Lara-Bernal, A. Calderón, G. Peña Rodríguez, R. Ivanov

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Abstract

© 2015 Elsevier Masson SAS. All rights reserved. This work demonstrates that in photothermal experiments performed in frequency domain the heat losses due to convection and radiation should be taken into account at low frequencies for poor heat conductors. From a model-solution of the heat diffusion equation a dimensionless frequency dependent parameter M = ZH, with sample's thermal impedance Z and H the convection-radiation heat transfer coefficient, turns out to adequately quantify the importance of the effect of those heat losses. A straightforward photothermal infrared radiometry setup was designed to demonstrate the above hypothesis. Disc shaped samples of different test materials were heated by square wave modulated illumination at one of their surfaces at different frequencies using an amplitude modulated laser beam, and the temperature at the rear surfaces was monitored as a function of time using an infrared sensor. The frequency dependence of peak-to-peak values of the temperature signals was found to be consistent with the amplitude spectrum obtained by Fourier transforming the data. The frequency dependence of the peak-to-peak amplitude was compared with a theoretical model with and without taking convection and radiation induced heat losses (CRHL) into consideration. It is found that for poor heat conductors at low modulation frequencies the conventional model without CRHL does not fit well the experimental data, while the extended model leads to good agreement, resulting in reliable values for the thermal diffusivity. For the investigated samples, the contribution to the signal of thermal wave reflection at the back side of the sample turn out to have a minor effect on the signal spectrum.
Original languageAmerican English
Pages (from-to)202-207
Number of pages181
JournalInternational Journal of Thermal Sciences
DOIs
StatePublished - 11 Aug 2015

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Radiometry
Convection
Thermal diffusivity
thermal diffusivity
Heat losses
convection
Hot Temperature
Radiation
Infrared radiation
heat
radiation
conductors
Frequency modulation
Heat transfer coefficients
materials tests
Laser beams
wave reflection
square waves
Lighting
SAS

Cite this

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title = "Thermal diffusivity measurements in solids by photothermal infrared radiometry: Influence of convection-radiation heat losses",
abstract = "{\circledC} 2015 Elsevier Masson SAS. All rights reserved. This work demonstrates that in photothermal experiments performed in frequency domain the heat losses due to convection and radiation should be taken into account at low frequencies for poor heat conductors. From a model-solution of the heat diffusion equation a dimensionless frequency dependent parameter M = ZH, with sample's thermal impedance Z and H the convection-radiation heat transfer coefficient, turns out to adequately quantify the importance of the effect of those heat losses. A straightforward photothermal infrared radiometry setup was designed to demonstrate the above hypothesis. Disc shaped samples of different test materials were heated by square wave modulated illumination at one of their surfaces at different frequencies using an amplitude modulated laser beam, and the temperature at the rear surfaces was monitored as a function of time using an infrared sensor. The frequency dependence of peak-to-peak values of the temperature signals was found to be consistent with the amplitude spectrum obtained by Fourier transforming the data. The frequency dependence of the peak-to-peak amplitude was compared with a theoretical model with and without taking convection and radiation induced heat losses (CRHL) into consideration. It is found that for poor heat conductors at low modulation frequencies the conventional model without CRHL does not fit well the experimental data, while the extended model leads to good agreement, resulting in reliable values for the thermal diffusivity. For the investigated samples, the contribution to the signal of thermal wave reflection at the back side of the sample turn out to have a minor effect on the signal spectrum.",
author = "K. Mart{\'i}nez and E. Mar{\'i}n and C. Glorieux and A. Lara-Bernal and A. Calder{\'o}n and {Pe{\~n}a Rodr{\'i}guez}, G. and R. Ivanov",
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Thermal diffusivity measurements in solids by photothermal infrared radiometry: Influence of convection-radiation heat losses. / Martínez, K.; Marín, E.; Glorieux, C.; Lara-Bernal, A.; Calderón, A.; Peña Rodríguez, G.; Ivanov, R.

In: International Journal of Thermal Sciences, 11.08.2015, p. 202-207.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Thermal diffusivity measurements in solids by photothermal infrared radiometry: Influence of convection-radiation heat losses

AU - Martínez, K.

AU - Marín, E.

AU - Glorieux, C.

AU - Lara-Bernal, A.

AU - Calderón, A.

AU - Peña Rodríguez, G.

AU - Ivanov, R.

PY - 2015/8/11

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N2 - © 2015 Elsevier Masson SAS. All rights reserved. This work demonstrates that in photothermal experiments performed in frequency domain the heat losses due to convection and radiation should be taken into account at low frequencies for poor heat conductors. From a model-solution of the heat diffusion equation a dimensionless frequency dependent parameter M = ZH, with sample's thermal impedance Z and H the convection-radiation heat transfer coefficient, turns out to adequately quantify the importance of the effect of those heat losses. A straightforward photothermal infrared radiometry setup was designed to demonstrate the above hypothesis. Disc shaped samples of different test materials were heated by square wave modulated illumination at one of their surfaces at different frequencies using an amplitude modulated laser beam, and the temperature at the rear surfaces was monitored as a function of time using an infrared sensor. The frequency dependence of peak-to-peak values of the temperature signals was found to be consistent with the amplitude spectrum obtained by Fourier transforming the data. The frequency dependence of the peak-to-peak amplitude was compared with a theoretical model with and without taking convection and radiation induced heat losses (CRHL) into consideration. It is found that for poor heat conductors at low modulation frequencies the conventional model without CRHL does not fit well the experimental data, while the extended model leads to good agreement, resulting in reliable values for the thermal diffusivity. For the investigated samples, the contribution to the signal of thermal wave reflection at the back side of the sample turn out to have a minor effect on the signal spectrum.

AB - © 2015 Elsevier Masson SAS. All rights reserved. This work demonstrates that in photothermal experiments performed in frequency domain the heat losses due to convection and radiation should be taken into account at low frequencies for poor heat conductors. From a model-solution of the heat diffusion equation a dimensionless frequency dependent parameter M = ZH, with sample's thermal impedance Z and H the convection-radiation heat transfer coefficient, turns out to adequately quantify the importance of the effect of those heat losses. A straightforward photothermal infrared radiometry setup was designed to demonstrate the above hypothesis. Disc shaped samples of different test materials were heated by square wave modulated illumination at one of their surfaces at different frequencies using an amplitude modulated laser beam, and the temperature at the rear surfaces was monitored as a function of time using an infrared sensor. The frequency dependence of peak-to-peak values of the temperature signals was found to be consistent with the amplitude spectrum obtained by Fourier transforming the data. The frequency dependence of the peak-to-peak amplitude was compared with a theoretical model with and without taking convection and radiation induced heat losses (CRHL) into consideration. It is found that for poor heat conductors at low modulation frequencies the conventional model without CRHL does not fit well the experimental data, while the extended model leads to good agreement, resulting in reliable values for the thermal diffusivity. For the investigated samples, the contribution to the signal of thermal wave reflection at the back side of the sample turn out to have a minor effect on the signal spectrum.

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