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Application of sensitivity analysis in microscale heat transfer

Majchrzak E., Dziatkiewicz J., Kałuża G.

Computer Assisted Methods in Engineering and Science

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2013

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Vol. 20, no. 2

113--121

EN

In the paper, the thin metal film subjected to the ultrashort laser pulse has been analyzed. The heat conduction in the domain considered has been described by two-temperature model consisting of the system of two coupled parabolic equations determining the electron and lattice temperatures. The sensitivity analysis of electron and lattice temperatures with respect to the parameters appearing in mathematical description has been discussed. In particular, the changes of temperatures due to the changes of coupling factor G and the film thickness L have been estimated. At the stage of numerical computations in a case of basic as well as sensitivity problems solutions the explicit scheme of finite difference method has been used. In the final part of the paper the results of computations have been shown.

2

Identification of electron-phonon coupling factor in a thin metal film subjected to an ultrashort laser pulse

Majchrzak E., Dziatkiewicz J.

Computer Assisted Methods in Engineering and Science

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2012

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Vol. 19, no. 4

383--392

EN

A thin metal film subjected to a laser pulse is considered. The problem is described by the system of energy equations describing the electron gas and lattice temperatures. The thermal interactions between electrons and lattice are determined by the parameter G called the electron-phonon coupling factor. To estimate the unknown parameter G the identification problem is formulated. The additional information necessary to solve an inverse problem is the knowledge of transient measurements of the reflectivity or transmissivity variation which is proportional to the variation of the electron temperature. So, at the stage of inverse problem solution, it is possible to assume the knowledge of electrons temperature on the irradiated surface of the system (x = 0). To solve the identification problem the gradient method basing on the least squares criterion and sensitivity coefficients is used. In the final part of the paper the results of computations are shown

3

Two-temperature microscale heat transfer model. Part 2, Determination of lattice parameters

Majchrzak E., Poteralska J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2010

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Vol. 9, nr 1

109-119

EN

Two-temperature microscale heat transfer model is presented. This model contains two energy equations determining the heat exchange in the electron gas and the metal lattice. A key issue in the application of this model is the proper description of temperature dependent thermophysical parameters of the material considered and this problem is discussed here. In this part the determination of metal lattice thermophysical parameters is presented.

4

Two-temperature microscale heat transfer model. Part 1, Determination of electrons parameters

Majchrzak E., Poteralska J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2010

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Vol. 9, nr 1

99-108

EN

Two-temperature microscale heat transfer model is presented. This model contains two energy equations determining the heat exchange in the electron gas and the metal lattice. A key issue in the application of this model is the proper description of temperature dependent thermophysical parameters of the material considered and this problem is discussed here. In this part the determination of electrons thermophysical parameters is presented.