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Reseach Article

Identification of Thermal Parameters by Treating the Inverse Problem

by Abdelaaziz Ghafiri, Jamal Chaoufi, Claude Vallee, El Hanafi Arjdal, Jean Christophe Dupre, Arnaud Germaneau, Kossi Atchonouglo, Hassan Fatmaoui
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 87 - Number 11
Year of Publication: 2014
Authors: Abdelaaziz Ghafiri, Jamal Chaoufi, Claude Vallee, El Hanafi Arjdal, Jean Christophe Dupre, Arnaud Germaneau, Kossi Atchonouglo, Hassan Fatmaoui
10.5120/15249-3719

Abdelaaziz Ghafiri, Jamal Chaoufi, Claude Vallee, El Hanafi Arjdal, Jean Christophe Dupre, Arnaud Germaneau, Kossi Atchonouglo, Hassan Fatmaoui . Identification of Thermal Parameters by Treating the Inverse Problem. International Journal of Computer Applications. 87, 11 ( February 2014), 1-5. DOI=10.5120/15249-3719

@article{ 10.5120/15249-3719,
author = { Abdelaaziz Ghafiri, Jamal Chaoufi, Claude Vallee, El Hanafi Arjdal, Jean Christophe Dupre, Arnaud Germaneau, Kossi Atchonouglo, Hassan Fatmaoui },
title = { Identification of Thermal Parameters by Treating the Inverse Problem },
journal = { International Journal of Computer Applications },
issue_date = { February 2014 },
volume = { 87 },
number = { 11 },
month = { February },
year = { 2014 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume87/number11/15249-3719/ },
doi = { 10.5120/15249-3719 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:05:37.429535+05:30
%A Abdelaaziz Ghafiri
%A Jamal Chaoufi
%A Claude Vallee
%A El Hanafi Arjdal
%A Jean Christophe Dupre
%A Arnaud Germaneau
%A Kossi Atchonouglo
%A Hassan Fatmaoui
%T Identification of Thermal Parameters by Treating the Inverse Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 87
%N 11
%P 1-5
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this work is to identify the tensor of thermal conductivity and volumetric heat of an anisotropic material with conductivity tensor diagonal, the heat conduction follows the linear Fourier law. The temperature field in the plate is obtained by solving the analytical heat equation. The solution of the direct problem is simulated by applying the Finite Element Method 2D. The inverse problem is solved by returning the intermediate step of the MEF. An optimization method based on conjugate gradient algorithm has enabled us to develop an identification of thermophysical parameters procedure.

References
  1. Hensel E. , Inverse theory and applications for engineers, Prentice-Hall INC, Englewood Cliffs,N. J. , 1978
  2. Kurpisz K. , Nowak A. J. , Inverse Thermal Problems, Computational Mechanics, 1995.
  3. Baillis D. , Laurent M. , Raynaud M. , Gervais P. , « Méthode Flash appliquée aux mousses de carbone », Congrès Français de Thermique, Lyon, 15-17mai, 2000.
  4. Ammous A. , Sellami F. , Ammous K. ,Morel H. , Allard B. , Chante J. -P. , « Developing an equivalent thermal model for discrete semiconductor packages », International Journal of Thermal Sciences, vol. 42, p. 533-539, 2003.
  5. Vozàr L. , Srámková T. , « Two date reduction methods for evaluation of thermal diffusivity from step-heating measurement », Int. J. Heat Mass Transfert, vol. 40, n_ 7, p. 1647-1657, 1997.
  6. Atchonouglo K. , Identification des Paramètres Caractéristiques d'un Phénomène Mécanique ou Thermique Régi par une équation différentielle ou aux dérivées Partielles, Thèse de Doctorat, Université de Poitiers, 2007. .
  7. Sacadura J. F. , Initiation aux transferts thermiques,Technique et documentation, 1993
  8. Bergheau J. M. , Fortunier R. , Simulation numérique des transferts thermiques par éléments ?nis, Hermès, Paris, 2004.
  9. Aouragh B. , Chaoufi J. , Fatmaoui H. , Dupré J. C. , Vallée C. , Atchonouglo K. , Simulation of thermo mechanical behavior of structures by the numerical resolution of direct problem, Applied Mechanics and Materials, vol. 61, 85-93, 2011. .
  10. Atchonouglo K. , Banna M. , Vallée C. , ,Dupré J. C, Inverse Transient Heat Conduction Problems and Application to the Estimation of Heat Transfer Coefficients, Heat and Mass Transfer, vol. 45, issue 1, 23-29, 2008.
  11. Polak E. , Computational Methods in Optimization: A Unified Approach, R. Bellman, Ed. , Mathematics in Science and Engineering, vol. 77, New York, NY: Academic Press, 1971.
Index Terms

Computer Science
Information Sciences

Keywords

Identification Thermophysical parameters Inverse problem Finite Element Method Infrared Camera Projected Conjugate Gradient Method