International Journal of Thermophysics

, Volume 26, Issue 2, pp 493–505 | Cite as

Measurement of the In-plane Thermal Diffusivity of Materials by Infrared Thermography



A transient method using the Laplace transform for estimation of the in-plane thermal diffusivity of low conductive materials is presented. The temperature field of the sample is measured by infrared thermography. The main interest of the technique proposed here is to not require a knowledge of the stimulation and boundary conditions by using two reference temperature profiles. The parameter estimation is implemented in the time domain by an inverse technique using numerical Laplace inversion and convolution products. A sensitivity study has been carried out to optimize the choice of the two reference profiles. The effect of a space varying heat transfer coefficient on the estimated values of the unknown parameters has also been evaluated. Finally, the apparatus is described and experimental results obtained for a low conductive material like a vitroceramic are shown.


infrared thermography in-plane diffusivity low conductive material parameter estimation transient technique. 


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  1. 1.
    Katayama, K. 1969Bull. J.S.M.E.12865Google Scholar
  2. 2.
    Kavianipour, A., Beck, J.V. 1977Int. J. Heat Mass Transfer.20259CrossRefGoogle Scholar
  3. 3.
    Hadisaroyo D., Batsale J.C., Degiovanni A. (1992). J. Phys. III: 111Google Scholar
  4. 4.
    Philippi, I., Batsale, J.C., Maillet, D., Degiovanni, A. 1995Rev. Sci. Instrum.1182CrossRefGoogle Scholar
  5. 5.
    Maillet, D., André, S., Batsale, J.C., Degiovanni, A., Moyne, C. 2000Thermal Quadrupoles—Solving the Heat Equation Through Integral TransformsWileyChichester.Google Scholar
  6. 6.
    De Hoog, F.R., Knight, J.H., Stokes, A.N. 1982S.I.A.M J. Sci. Stat. Comput.3357CrossRefGoogle Scholar
  7. 7.
    Beck, J.V., Arnold, K.J. 1977Parameter Estimation in Engineering and ScienceWileyNew York.Google Scholar
  8. 8.
    Levenberg, K. 1944Quart. Appl. Math.2164Google Scholar
  9. 9.
    Marquardt, D. 1963S.I.A.M. J. Appl. Math.11431CrossRefGoogle Scholar
  10. 10.
    Parker, W.J., Jenkins, R.J., Butler, C.P., Abbott, G.L. 1961J. App. Phys.321679CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Laboratoire d’Énergetique et de Mécanique Théorique et Appliquée — L.E.M.T.A — E.N.S.E.M — I.N.P LorraineU.M.R-C.N.R.S 7563CedexFrance

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