| Partner: P. Kowalczyk |
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List of chapters in recent monographs
| 1. 426 | Bielski W.♦, Kowalczyk P.♦, Wojnar R., The Book of Abstracts of the Numerical Heat Transfer 2015 - Eurotherm Seminar No. 109, rozdział: Two-temperature heat transfer in metal films, Institute of Thermal Technology, Silesian University of Technology, Gliwice, Poland and Institute of Heat Engineering, Warsaw University of Technology, Warsaw, Poland, Editors: Andrzej J. Nowak, Jerzy Banaszek, and Bozidar Sarler, pp.29-30, 2015 | |
| 2. 427 | Bielski W.♦, Kowalczyk P.♦, Wojnar R., The Conference Proceedings of the Numerical Heat Transfer 2015 - Eurotherm Seminar No. 109, rozdział: Two-temperature heat transfer in metal films, Institute of Thermal Technology, Silesian University of Technology, Gliwice, Poland and Institute of Heat Engineering, Warsaw University of Technology, Warsaw, Poland, Editors: Andrzej J. Nowak, Jerzy Banaszek, and Bozidar Sarler, pp.57-67, 2015 |
Conference abstracts
| 1. | Bielski W.♦, Kowalczyk P.♦, Wojnar R., Two-temperature heat transfer in a metal and a longitudinal elastic wave generation, DSTA 2021, 16th INTERNATIONAL CONFERENCE Dynamical Systems Theory and Applications, 2021-12-06/12-09, Łódź (PL), pp.382-383, 2021 Abstract: A new version of the classic Danilowskaya's problem is presented. To describe the formation of a longitudinal elastic wave in the metal by a laser beam, we use a two-temperature theory of heating such a metal. In this theory of thermoelasticity, there are two temperatures simultaneously, the temperature of the electron gas Te and the temperature of the ionic lattice Ti, and both are functions of position and time. The energy transferred by electrons to the lattice per unit volume of the crystal per unit time is proportional to the difference Te - Ti. We give the equations of energy conservation and entropy production, whose thermodynamic consistency is verified. The equations of the problem are quasi-linear, since the specific heat of the electron gas in the considered temperature range depends on the temperature (degenerate electron gas). The one-dimensional process of transmitting thermal energy to the crystal lattice and the formation of mechanical wave is analyzed by the numerical method and illustrated in the pictures for various exemplary cases. Keywords:electron gas, photon-electron interaction, energy balance, entropy growth Affiliations:
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| 2. | Bielski W.♦, Kowalczyk P.♦, Wojnar R., Thermal stresses and two temperature heat transfer, SolMech 2018, 41st SOLID MECHANICS CONFERENCE, 2018-08-27/08-31, Warszawa (PL), pp.234-235, 2018 | |