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Determination of thermal properties of materials by Monte Carlo inversion of pulsed needle probe data
- Source :
- Bording, T S, Nielsen, S B & Balling, N 2019, ' Determination of thermal properties of materials by Monte Carlo inversion of pulsed needle probe data ', International Journal of Heat and Mass Transfer, vol. 133, pp. 154-165 . https://doi.org/10.1016/j.ijheatmasstransfer.2018.12.104
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- Needle probe measurements are used in a wide variety of fields for measuring the thermal conductivity of materials. It is most common to extract the thermal conductivity from the temperature rise data using the asymptotic solution to the heat equation. With special reference to, but not limited to Earth materials, this study presents an inversion procedure using pulsed needle probe data to determine both thermal conductivity and thermal diffusivity. The measured temperature response data are interpreted using a finite element forward model and a Markov Chain Monte Carlo inversion algorithm. The thermal properties of the needle probe are part of the forward model and determined by measurements on calibration standards. We examine several factors by synthetic modelling and quantify their effects by Monte Carlo inversions. This include (1) the heat production rate of the probe in order to produce similar temperature increases in materials of different thermal properties, (2) the contact resistance between needle probe and sample, (3) the limitations imposed by sample diameter and the thermal properties of the surrounding medium, and (4) the duration of heating period required to obtain good results. Laboratory test measurements on selected materials (water, glycerol, ceramic standard, clay) demonstrate good agreement with expected values obtained from literature. We demonstrate that the combination of numerical forward modelling and Monte Carlo inversion, applied to the pulsed needle, is a flexible and powerful methodology for accurate laboratory measurements of material thermal properties and with well-defined estimates of uncertainty. With the given equipment and laboratory setup, thermal conductivity is measured to within few percent, while thermal diffusivity generally has a somewhat higher degree of uncertainty, up to about five percent.
- Subjects :
- Materials science
Monte Carlo method
02 engineering and technology
Thermal diffusivity
01 natural sciences
010305 fluids & plasmas
symbols.namesake
Thermal conductivity
0103 physical sciences
Thermal
Ceramic
Fluid Flow and Transfer Processes
Numerical forward model
Mechanical Engineering
Markov chain Monte Carlo
Mechanics
021001 nanoscience & nanotechnology
Condensed Matter Physics
visual_art
visual_art.visual_art_medium
symbols
Uncertainty analysis
Needle probe
Heat equation
Monte Carlo inversion
0210 nano-technology
Material properties
Subjects
Details
- ISSN :
- 00179310
- Volume :
- 133
- Database :
- OpenAIRE
- Journal :
- International Journal of Heat and Mass Transfer
- Accession number :
- edsair.doi.dedup.....f3566f5e46873a193c111b84db0bfe47