Overview
ABSTRACT
The task of constructing an appropriate model, here the solution of one of the forms of the heat equation, is tackled in the framework of inverse problems in heat diffusion. Several examples are used to introduce the notions of input, output and structural parameters of a model. The physical principles of the techniques of temperature measurement, with or without contact, are detailed together with the corresponding calibration laws, taking into account the notions of measurement noise and of sampling of the sensor signal. The sensitivity of the model output to its structural parameters or to its parameterized input is the basis of the inverse approach.
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Read the articleAUTHORS
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Denis MAILLET : Professor Emeritus, University of Lorraine (UL) - Laboratoire d'Énergétique et de Mécanique Théorique et Appliquée (LEMTA) – CNRS and UL
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Yvon JARNY : Professor Emeritus, University of Nantes - Laboratoire de Thermique et Énergie de Nantes (LTeN) – UMR CNRS 6607 Nantes
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Daniel PETIT : Professor Emeritus, École Nationale Supérieure de Mécanique et d'Aérotechnique (ISAE-ENSMA) - Institut P' UPR CNRS 3346 Département Fluides, Thermique, Combustion – Poitiers
INTRODUCTION
This article is the first in a series of three ([BE 8 265],
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KEYWORDS
temperature | thermal conduction | heat equation | inverse problems | sensitivity
Inverse problems in heat diffusion : Diffusive models, measurements, sensitivities
Inverse thermal models and techniques
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