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Technical Briefs

Numerical Inversion of Laplace Transform for Time Resolved Thermal Characterization Experiment

[+] Author and Article Information
J. Toutain, C. Pradere, J. Pailhes, A. Kusiak, W. Aregba, J.-C. Batsale

Laboratoire inter établissement “TRansferts Ecoulements Fluides Energétique”, UMR 8508, Ecole Nationale Supérieure d’Arts et Métiers, Esplanade des Arts et Métiers, Talence, Cedex 33405, France

J.-L. Battaglia

Laboratoire inter établissement “TRansferts Ecoulements Fluides Energétique”, UMR 8508, Ecole Nationale Supérieure d’Arts et Métiers, Esplanade des Arts et Métiers, Talence, Cedex 33405, Francejean-luc.battaglia@ensam.bordeaux.fr

J. Heat Transfer 133(4), 044504 (Jan 13, 2011) (3 pages) doi:10.1115/1.4002777 History: Received March 11, 2010; Revised September 17, 2010; Published January 13, 2011; Online January 13, 2011

The aim of this technical brief is to test numerical inverse Laplace transform methods with application in the framework of the thermal characterization experiment. The objective is to find the most reliable technique in the case of a time resolved experiment based on a thermal disturbance in the form of a periodic function or a distribution. The reliability of methods based on the Fourier series methods is demonstrated.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Comparison of the three numerical techniques for the function h(z=0,t)

Grahic Jump Location
Figure 2

Comparison of the three numerical techniques for the function hτ(z=0,t)

Grahic Jump Location
Figure 3

Comparison of the three numerical techniques for the function hτ,T(z=0,t)

Grahic Jump Location
Figure 4

Relative gap between the exact response and that calculated from the Den Iseger technique

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