Identification of material thermophysical parameters withregard to optimum location of sensors

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Abstract

As a practical example illustrating th considerations presented in the paper the thermal processes proceeding in a system casting-moul are considered. The casting is made from Fe-C alloy (cast iron) and the austenite and eutectic latent heats of this material should be identified. To estimate these parameters the knowledge oftemperature history at the points selected from the domain considered is necessary. The locationof sensors should assure the best conditions of identification process.So, the algorithm of optimum location of sensors basing on the D-optimality criterion is presented, while the inverse problem is solved using the gradient method.

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Majchrzak, E., & Mendakiewicz, J. (2014). Identification of material thermophysical parameters withregard to optimum location of sensors. In Mathematical Methods in Engineering (pp. 109–118). Springer Netherlands. https://doi.org/10.1007/978-94-007-7183-3_10

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