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Identification of Thermal Parameters by Treating the Inverse Problem

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International Journal of Computer Applications
© 2014 by IJCA Journal
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 and Hassan Fatmaoui. Article: Identification of Thermal Parameters by Treating the Inverse Problem. International Journal of Computer Applications 87(11):1-5, February 2014. Full text available. BibTeX

@article{key:article,
	author = {Abdelaaziz Ghafiri and Jamal Chaoufi and Claude Vallee and El Hanafi Arjdal and Jean Christophe Dupre and Arnaud Germaneau and Kossi Atchonouglo and Hassan Fatmaoui},
	title = {Article: Identification of Thermal Parameters by Treating the Inverse Problem},
	journal = {International Journal of Computer Applications},
	year = {2014},
	volume = {87},
	number = {11},
	pages = {1-5},
	month = {February},
	note = {Full text available}
}

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

  • Hensel E. , Inverse theory and applications for engineers, Prentice-Hall INC, Englewood Cliffs,N. J. , 1978
  • Kurpisz K. , Nowak A. J. , Inverse Thermal Problems, Computational Mechanics, 1995.
  • Baillis D. , Laurent M. , Raynaud M. , Gervais P. , « Méthode Flash appliquée aux mousses de carbone », Congrès Français de Thermique, Lyon, 15-17mai, 2000.
  • 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.
  • 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.
  • 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. .
  • Sacadura J. F. , Initiation aux transferts thermiques,Technique et documentation, 1993
  • Bergheau J. M. , Fortunier R. , Simulation numérique des transferts thermiques par éléments ?nis, Hermès, Paris, 2004.
  • 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. .
  • 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.
  • 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.