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LOCATION AND IDENTIFICATION OF A VOLUMETRIC HEAT SOURCE IN A 2D DIFFUSION SYSTEM USING THE BOUNDARY ELEMENT METHOD

DOI: 10.1615/ICHMT.2008.CHT.330
15 pages

Younes Touhami
Centre Universitaire de Béchar, BP 417 Béchar 08000 Algérie

Daniel Petit
Laboratoire d'Etudes Thermiques, U.M.R. C.N.R.S. 6608, Université de Poitiers, ENSMA, Teleport 2, 1 avenue Clément Ader, BP 40109, 86961 Futuroscope Cedex, France

Abstrakt

In this paper a numerical study to determine a volumetric heat source, homogeneous in a part of the domain is presented. We demonstrate how a point heat source "equivalent" can approach the phenomenon at first. An extension of this point heat source is proposed. The method is based on a convolution integral inversion technique and on a direct model of the Boundary Element Method. The results obtained are in conformity with the simulation. Thus the location of the source centre is positioned in a precise way. On the other hand the power is estimated at 95% of error but two methods (increase from a circular source and method of the three point sources) are used in order to improve quality of the result. Also one manages to reproduce faithfully the temperatures pace.

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