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Dynamic observers based on Green's functions applied to 3D inverse thermal models

This work develops a new procedure for the use of dynamic observers in inverse heat conduction problem (IHCP). The dynamic observer state technique, used here, is developed to solve not only a one-dimensional but also a three-dimensional heat transfer problem. The IHCP is represented by a classical inverse definition, that is, an unknown heat flux heat is imposed at a front surface of a sample. The heat flux is then estimated by using the dynamic observer techniques and temperature data from a sensor located at the sample far from the heat source. The novelty is the new procedure to obtain the heat transfer function of the system. In this work, this function is derived using Green's function concept instead of taking Laplace transform of a spatially discretized system, as is usual. This procedure allows a great flexibility to the observer technique and represents an easy way to solve multidimensional heat conduction problem. Tests have shown excellent results.