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2. Heat equation: which model to use?
2.1 Example 1: Semi-infinite wall under 1D transient conditions
Figure 1 shows a semi-infinite mass in the x direction being excited on its x = 0 face by a heat flux of density u (W · m –2 ) at the initial time t = 0. The initial temperature T 0 (x) is a priori non-uniform. A temperature sensor is implanted at a depth x c in the massif and delivers a signal y. From the initial instant, a transient one-dimensional temperature field T (x, t) develops in the massif.
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Heat equation: which model to use?
Temperature measurements and reverse calibration problem
Bibliography
Software tools
INVLAP software for numerical inversion of the Laplace transform using De Hoog's algorithm http://www.cambridge.org/us/
Websites
French Thermal Society (see proceedings of Metti 5-2011 and Metti 6-2015 schools) http://www.sft.asso.fr
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