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Identification of Material Thermophysical Parameters with Regard to Optimum Location of Sensors

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Mathematical Methods in Engineering
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Abstract

As a practical example illustrating the considerations presented in the paper the thermal processes proceeding in a system casting-mould 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 of temperature history at the points selected from the domain considered is necessary. The location of 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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References

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Acknowledgments

This work was funded by Grant No N N507 3592 33.

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Correspondence to Ewa Majchrzak .

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Majchrzak, E., Mendakiewicz, J. (2014). Identification of Material Thermophysical Parameters with Regard to Optimum Location of Sensors. In: Fonseca Ferreira, N., Tenreiro Machado, J. (eds) Mathematical Methods in Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7183-3_10

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  • DOI: https://doi.org/10.1007/978-94-007-7183-3_10

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7182-6

  • Online ISBN: 978-94-007-7183-3

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