Heat flux formulation for 1D dual-phase lag equation

• Autorzy: Majchrzak E. , Kałuża G.

Identyfikatory

DOI

10.17512/jamcm.2015.1.07

• Języki publikacji: EN

Abstrakty

EN

The thin metal film subjected to the ultra-short laser pulse is analyzed. Heat transfer processes occurring in the domain considered are described by the dual-phase lag model in which the unknown is the heat flux, not, as usual, temperature. This approach is especially convenient in the case of Neumann boundary conditions, which are taken into account here. The mathematical model supplemented by initial conditions is solved using the explicit scheme of finite difference method. In the final part of the paper the examples of computations are shown and the conclusions are formulated.

Słowa kluczowe

EN

dual phase lag equation; finite difference method; thin metal film

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 1
• Strony: 71--78
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Majchrzak E.

• Institute of Computational Mechanics and Engineering Silesian University of Technology Gliwice, Poland

autor

Kałuża G.

• Institute of Computational Mechanics and Engineering Silesian University of Technology Gliwice, Poland

Bibliografia

• [1] Chen J.K., Beraun J.E., Numerical study of ultrashort laser pulse interactions with metal films, Numerical Heat Transfer, Part A, 2001, 40, 1-20.
• [2] Mochnacki B., Paruch M., Cattaneo-Vernotte equation. Identification of relaxation time using evolutionary algorithms, Journal of Applied Mathematics and Computational Mechanics 2013, 12(4), 97-102.
• [3] Mochnacki B., Paruch M., Application of evolutionary algorithms for identification of dual phase lag model parameters, Scientific Research of the Institute of the Mathematics and Computer Science 2011, 10(1), 189-198.
• [4] Majchrzak E., Mochnacki B., Suchy J.S., Finite difference model of short-pulse laser interactions with thin metal film, Computer Methods in Materials Science 2009, 9, 2, 316-322.
• [5] Majchrzak E., Mochnacki B., Greer A.L., Suchy J.S., Numerical modeling of short pulse laser interactions with multi-layered thin metal films, CMES: Computer Modeling in Engineering and Sciences 2009, 41, 2, 131-146.
• [6] Tzou D.Y., Macro- to Microscale Heat Transfer, The Lagging Behaviour, Taylor and Francis, 1997.
• [7] Majchrzak E., Dziatkiewicz J., Kałuża G., Application of sensitivity analysis in microscale heat transfer, Computer Assisted Methods in Engineering and Science 2013, 20, 113-121.