Uncertainty Analysis of Thermophysical Property Measurements of Solids Using Dynamic Methods

Malinarič, Svetozár

doi:10.1007/s10765-006-0134-2

Cited by 23 publications

(16 citation statements)

References 7 publications

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“…18,19 For aerogel samples, there is also a report on the discrepancy in the k result obtained with TPS measurements using different types of sensors insulated with mica and polyimide, where the former type showed a result 54% higher than the later for the same sample. 20 Error in the TPS measurement [20][21][22][23][24][25][26][27][28][29][30][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. 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.…”

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confidence: 99%

“…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][22][23][24][25][26] In the latter aspect, several publications investigated the accuracy and performance of commercial TPS devices based on numerical simulations to study the effect of the sensors on the TPS measurement for bulk or thin film 20,[27][28][29][30][31] and the error due to thermal radiation in semitransparent sample. 17,33 However, these researches provide no systematic investigation on the sensor geometric parameters and sample thermal properties.…”

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confidence: 99%

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Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials

Zheng

Kaur

Dames

et al. 2020

International Journal of Heat and Mass Transfer

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The hot disk transient plane source (TPS) method is a widely used standard technique (ISO 22007-2) for the characterization of thermal properties of materials, especially the thermal conductivity, k. Despite its well-established reliability for a wide variety of common materials, the hot disk TPS method is also known to suffer from a substantial systematic errors when applied to low-k thermal insulation materials, because of the discrepancies between the idealized model used for data analysis and the actual heat transfer process. Here, we present a combined numerical and experimental study on the influence of the geometry of hot disk sensor on measured value of lowk materials. We demonstrate that the error is strongly affected by the finite thickness and thermal mass of the sensor's insulation layer was well as the corresponding increase of the effective heater size beyond the radius of the embedded metal heater itself. We also numerically investigate the dependence of the error on the sample thermal properties, confirming that the errors are worse in low-k samples. A simple correction function is also provided, which converts the apparent (erroneous) result from a standard hot disk TPS measurement to a more accurate value. A standard polyimide sensor was also optimized using both wet and dry etching to provide more accurate measurement directly. Experimentally corrected value of k for Airloy® x56 aerogel and a

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confidence: 99%

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confidence: 99%

Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials

Zheng

Kaur

Dames

et al. 2020

International Journal of Heat and Mass Transfer

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“…In addition, the results of both models correspond very well for low values of the heating current. Here it should be mentioned that a small heating current causes a small temperature change and consequently a large error in the estimation of the thermophysical parameters [11]. So the optimal heating current range, where the results of both models agree the best, is from 0.3 A to 0.4 A.…”

Section: Resultsmentioning

confidence: 95%

“…Fig. 3, where the characteristic time of the heat source is estimated as h ≈ 10 s to 15 s. Estimates of the parameters can be determined from plateaus or by standard analysis [10,11] as shown in Fig. 4.…”

Section: Methodsmentioning

confidence: 99%

Improvements in the Dynamic Plane Source Method

Malinarič

Dieška

2008

Int J Thermophys

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Three sources of errors in the extended dynamic plane source (EDPS) method caused by the discrepancy between experiment and model are analyzed. The source effect is eliminated by introducing the nuisance parameter R 0 and the surface effect by a surrounding vacuum. The original model assumes a constant heating power but a constant current is used in the experiment. Suppression of this effect leads to a new solution of the heat equation designated as the constant-current model. The measurements on polymethylmetacrylate (PMMA) in vacuum, evaluated by the constant-current model, provided results of λ = 0.191 W·m −1 ·K −1 and a = 0.118×10 −6 m 2 ·s −1 , which are in good agreement with published values. The total standard uncertainty was estimated as 1.5 % for both thermophysical properties.

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“…To make sure of the experimental accuracy, each experiment is repeated three times and the average value is acquired. Parameter estimation would be applied to analyze the temperature measurement uncertainty using least-squares procedure [42].…”

Section: Tps Measurementsmentioning

confidence: 99%

Investigating the effective thermal conductivity of moist fibrous fabric based on Parallel-Series model: a consideration of material’s swelling effect

Zhu

2020

Mater. Res. Express

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The aim of this work reported in the paper is to investigate the influence of moisture content on the effective thermal conductivity (ETC) of non-hygroscopic Polyethylene terephthalate (PET) and hygroscopic Viscose (VC) fabrics using Parallel-Series (P-S) thermal-electrical analogy method and TPS measurement. An equivalent porosity for hygroscopic fabric was first proposed to preserve the validity of the P-S model. The equivalent porosity is characterized by reasonably eliminating the absorbed moisture effects partly, which is embodied in enhancing heat conduction, endothermic reaction and swelling. Calculated values of the effective thermal conductivity of the two kinds of fabrics had been compared with experimental measurements. Results show that the P-S model incorporated with equivalent porosity is found to yield higher prediction accuracy than that of P-S model with parent porosity. The calibrated model can also provide a robust tool for predicting the global effective thermal conductivity of moist hygroscopic fibrous porous media. Nomenclature P-SParallel-Series ETC Effective thermal conductivity ΔP pressure difference r pore-throat radius || parallel ⊥ series T temperature

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Uncertainty Analysis of Thermophysical Property Measurements of Solids Using Dynamic Methods

Cited by 23 publications

References 7 publications

Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials

Analysis and improvement of the hot disk transient plane source method for low thermal conductivity materials

Improvements in the Dynamic Plane Source Method

Investigating the effective thermal conductivity of moist fibrous fabric based on Parallel-Series model: a consideration of material’s swelling effect

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