Thermal conductivity estimation in non-linear problems

This paper reports on the development of a new application of the thermal probe in the determination of the thermal conductivity in non-linear problems. The method uses a direct non-linear numerical model associated with a parameter estimation technique to determine temperature dependent conductivit...

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Published inInternational journal of heat and mass transfer Vol. 50; no. 23; pp. 4623 - 4628
Main Authors Adjali, M.H., Laurent, M.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.11.2007
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Heat transfer in inhomogeneous media, in porous media, and through interfaces
Non-linear
Numerical
Parameter estimation
Phase change
Physics
Thermal conductivity
Thermal conductivity
Non-linear
Parameter estimation
Numerical
Phase change
Digital simulation
Boundary conditions
Modelling
Nonlinear problems
Thermal conduction
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Abstract This paper reports on the development of a new application of the thermal probe in the determination of the thermal conductivity in non-linear problems. The method uses a direct non-linear numerical model associated with a parameter estimation technique to determine temperature dependent conductivities. Using enthalpy as the primary variable in the numerical model, phase change situations can easily be accommodated. The potential and effectiveness of the method are shown through test data obtained by simulated experiments.
AbstractList This paper reports on the development of a new application of the thermal probe in the determination of the thermal conductivity in non-linear problems. The method uses a direct non-linear numerical model associated with a parameter estimation technique to determine temperature dependent conductivities. Using enthalpy as the primary variable in the numerical model, phase change situations can easily be accommodated. The potential and effectiveness of the method are shown through test data obtained by simulated experiments.
Author Laurent, M.
Adjali, M.H.
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  givenname: M.
  surname: Laurent
  fullname: Laurent, M.
  organization: INSA, Centre de Thermique, Lyon, France
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crossref_primary_10_1088_0957_0233_23_6_065601
crossref_primary_10_1007_s11431_013_5368_1
Cites_doi 10.1016/j.solener.2003.07.028
10.1111/j.1365-2621.2004.00840.x
10.1016/0031-8914(49)90129-9
10.1016/0017-9310(74)90153-7
10.1016/0040-6031(87)80201-0
10.1023/A:1016381801518
10.1520/GTJ10021J
10.1063/1.1721592
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Issue 23
Keywords Thermal conductivity
Non-linear
Parameter estimation
Numerical
Phase change
Digital simulation
Boundary conditions
Modelling
Nonlinear problems
Thermal conduction
Language English
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Snippet This paper reports on the development of a new application of the thermal probe in the determination of the thermal conductivity in non-linear problems. The...
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SubjectTerms Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Heat transfer in inhomogeneous media, in porous media, and through interfaces
Non-linear
Numerical
Parameter estimation
Phase change
Physics
Thermal conductivity
Title Thermal conductivity estimation in non-linear problems
URI https://dx.doi.org/10.1016/j.ijheatmasstransfer.2007.03.005
https://search.proquest.com/docview/30994491
Volume 50
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