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Journal articles
Application of inverse methods to the estimation of boundary conditions and properties
Abstract : nverse methods can be used in solidification and related processes for the estimation of boundary conditions or physical properties of materials. For heat flow problems, these methods are based upon a minimization of the errors between calculated and measured temperatures at given locations and times of the space-time domain, the calculated values being obtained from a numerical solution of the heat flow equation. In the present case, a maximum a posteriori technique has been implemented into a finite element code. This method is then applied to several situations for the determination of: i) the time-dependent heat-transfer coefficient at the surface of a steel rod which has been water-cooled after induction heating (non-stationary situation); ii) the space-dependent heat flow at the surface of a direct chill cast aluminum slab (stationary situation); and iii) the temperature-dependent thermal conductivity of aluminum-silicon alloys. In this latter case, the influence of the silicon concentration on the thermal conductivity is clearly revealed.
https://hal-mines-paristech.archives-ouvertes.fr/hal-01564446
Contributor : Pascale Nalon <>
Submitted on : Tuesday, July 18, 2017 - 5:05:31 PM
Last modification on : Sunday, January 3, 2021 - 4:46:02 PM
Contributor : Pascale Nalon <>
Submitted on : Tuesday, July 18, 2017 - 5:05:31 PM
Last modification on : Sunday, January 3, 2021 - 4:46:02 PM