Parameter estimations for measurements of thermal transport properties with the hot disk thermal constants analyzer
Abstract
The objective of this work is to improve measurements of transport properties using the hot disk thermal constants analyzer. The principle of this method is based on the transient heating of a plane double spiral sandwiched between two pieces of the investigated material. From the temperature increase of the heat source, it is possible to derive both the thermal conductivity and the thermal diffusivity from one single transient recording, provided the total time of the measurement is chosen within a correct time window defined by the theory and the experimental situation. Based on a theory of sensitivity coefficients, it is demonstrated how the experimental time window should be selected under different experimental situations. In addition to the theoretical work, measurements on two different materials: poly(methylmethacrylate) and Stainless Steel A 310, with thermal conductivity of 0.2 and 14 W/mK, respectively, have been performed and analyzed based on the developed theory.
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Error in TPS measurement comes from two sources: (1) uncertainty in experimental data and selection of time interval for analysis, and (2) deviation of the original idealized analytical heat transfer model from the practical measurement scenario.
“Error in the TPS measurement 20-31 comes from two sources: (1) uncertainty in the experimental data and the selection of time interval for analysis, and (2) deviation of the original idealized analytical heat transfer model 3, 32 from the practical measurement scenario.”
From Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials (2020) · cites this paper as [26]
Previous works on the uncertainty in experimental data and time interval selection focused on sensitivity of input parameters and data fitting procedure based on the original analytical model, but could not explain the overestimation of k in thermal insulation materials.
“Previous works on the former aspect focused on the sensitivity of the input parameters and the data fitting procedure based on the original analytical model, but could not explain the overestimation of k in TI materials. 21-26”
From Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials (2020) · cites this paper as [26]
t_max should be limited in a range such that 0.3 < τ_cu < 1 (or equivalently 0.548 < τ_cu < 1) to allow the TPS data to be sensitive to both sample thermal conductivity k_s and volumetric heat capacity C_s.
“According to a standard 9 and early parameter analysis, 26 t max should be limited in a range such that 2 0.3 1 cu , (or equivalently 0.548 1 cu ) to allow the TPS data to be sensitive to both sample thermal conductivity, k s, and volumetric heat capacity, C s.”
From Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials (2020) · cites this paper as [26]
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Zheng, Q., Kaur, S., Dames, C., & Prasher, R. S. (2020) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2020.119331 · Cited by 162 · see citing works
Theoretical accuracy of anisotropic thermal conductivity determined by transient plane source method
Zhang, H., Li, Y.-M., & Tao, W.-Q. (2017) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2017.01.025 · Cited by 69 · see citing works
An improved platinum probe used for transient plane source method at cryogenic temperatures
Zhao, P., & Wang, Q. (2025) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2025.126207 · Cited by 1 · see citing works
- Authors
- Bohac, V., Gustavsson, M. K., Kubicar, L., & Gustafsson, S. E.
- Affiliations
- Institute of Physics, Slovak Academy of Science, Bratislava, Slovak Republic
- Chalmers University of Technology (SE)
- Venue
- Review of Scientific Instruments
- Publisher
- AIP Publishing
- Published
- 2000-06-01
- Volume
- 71
- Issue
- 6
- Pages
- 2452-2455
- ISSN
- 0034-6748 (ISSN-L)
- 1089-7623
- OpenAlex
- W2048551668
- Cited by
- 184
- References
- 0
- Citations by year
- 2026: 9 · 2025: 11 · 2024: 18 · 2023: 11 · 2022: 8 · 2021: 9 · 2020: 6 · 2019: 13 · 2018: 12 · 2017: 13 · 2016: 12 · 2015: 7 · 2014: 12 · 2013: 6 · 2012: 4
- FWCI
- 0.56
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Review of Scientific Instruments (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Computational Mechanics › Heat Transfer and Numerical Methods
- Physical Sciences › Engineering › Mechanics of Materials › Thermography and Photoacoustic Techniques
- Keywords
- hot disk method, thermal conductivity, thermal diffusivity, transient heating, sensitivity coefficients, poly(methyl methacrylate), thermal transport properties
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