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Parameter estimation in dynamic plane source method
Open accessAbstract
The paper reports on the measurement of thermophysical properties (thermal conductivity and diffusivity) of PMMA (polymethylmethacrylate). The theory of the dynamic plane heat source method and the experimental apparatus are discussed. Both the sensitivity coefficients and difference analysis are used for searching the time interval in which the measured data can be evaluated. Besides, the influence of the heater and heat losses from the lateral sides of the sample and also the influence of the noise are studied. The estimated measurement uncertainties are 3.6% for thermal conductivity and 2.7% for thermal diffusivity.
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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 [23]
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Experimental — accuracy not yet measuredPrevious 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 [23]
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Research works printed but not linked: 14
- Kubi?ár L' Bohá? V P S Gaal D E Apostolescu, 1999, Proc. 24th Int. Conf. on Thermal Conductivity/12th Int. Thermal Expansion Symp. 26-29 Oct. 1997, 135
- Karawacki E, 1991, Meas. Sci. Technol., 2, 744, 10.1088/0957-0233/2/8/007 · DOI
- Karawacki E, 1992, Rev. Sci. Instrum., 63, 4390, 10.1063/1.1143739 · DOI
- Carslaw H S, 1959, Conduction of Heat in Solids
- Beck J V, 1977, Parameter Estimation in Engineering and Science
- Otnes R K, 1977, Applied Time Series Analysis
- 10.1063/1.1150635 · DOI · Paper page
- Malinari? S, 2002, Thermophysics 2002 Proc. Meeting of the Thermophysical Society-Working Group of the Slovak Physical Society
- Vasiljev L L, 1971, Teplofizi?eskie svojstva poristych materialov
- 10.1023/A:1006621324390 · DOI
- 10.1023/A:1006649209044 · DOI
- 1993, Guide to the Expression of the Uncertainty in Measurement
- Zhang H, 2003, Meas. Sci. Technol., 14, 1396, 10.1088/0957-0233/14/8/327 · DOI
- Zucco M, 2003, Meas. Sci. Technol., 14, 1683, 10.1088/0957-0233/14/9/320 · DOI
Cited by
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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
Metadata
- Authors
- Malinari, S.
- Venue
- Measurement Science and Technology
- Publisher
- IOP Publishing
- Published
- 2004-03-26
- Volume
- 15
- Issue
- 5
- Pages
- 807-813
- ISSN
- 0957-0233 (ISSN-L)
- 1361-6501
- OpenAlex
- W2140751555
- Cited by
- 45
- References
- 0
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 3 · 2023: 1 · 2021: 6 · 2020: 3 · 2019: 1 · 2018: 5 · 2016: 1 · 2014: 2 · 2012: 2
- FWCI
- 1.25
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Measurement Science and Technology (publishedVersion)
- Funders
- Slovenská Akadémia Vied
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Mechanics of Materials › Thermography and Photoacoustic Techniques
- Physical Sciences › Engineering › Computational Mechanics › Heat Transfer and Numerical Methods
- Keywords
- thermophysical properties, thermal conductivity, thermal diffusivity, PMMA, poly(methyl methacrylate), parameter estimation, sensitivity coefficients, difference analysis, measurement uncertainty, heat loss, noise
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