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2 2010

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Sensors location for estimation of temperature dependent thermal conductivity

Majchrzak E., Freus K., Freus S.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

2010

z. 97

59-60

Nonlinear Poisson equation is considered in which the thermal conductivity is a function of temperature ë(T )=p1T+p2, where p1, p2 are the unknown parameters. To solve the inverse problem the additional information connected with the knowledge of temperature T at the set of points (sensors) selected from the domain considered is necessary. The fundamental problem is the selection of sensors location and here the algorithm assuring the optimal sensors location is presented.

Algorithms of optimum location of sensors for solidification parameters estimation

Mendakiewicz J.

Archives of Foundry Engineering

2010

Vol. 10, iss. 4

141--146

The algorithms of optimal sensor location for estimation of solidification parameters are discussed. These algorithms base on the Fisher Information Matrix and A-optimality or D-optimality criterion. Numerical examples of planning algorithms are presented and next for optimal position of sensors the inverse problems connected with the identification of unknown parameters are solved. The examples presented concern the simultaneous estimation of mould thermophysical parameters (volumetric specific heat and thermal conductivity) and also the components of volumetric latent heat of cast iron.