- Tytuł:
- Cattaneo-Vernotte equation : identification of relaxation time using evolutionary algorithms
- Autorzy:
-
Mochnacki, B.
Paruch, M. - Powiązania:
- https://bibliotekanauki.pl/articles/122289.pdf
- Data publikacji:
- 2013
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Cattaneo-Vernotte equation
evolutionary algorithms
równanie Cattaneo-Vernotte
algorytmy ewolucyjne - Opis:
- The Cattaneo-Vernotte equation describing the heat conduction process in domain of solid body results from the generalization of the well - known Fourier law, in which the delay time’ (relaxation time τq) is introduced. The Cattaneo-Vernotte equation should be, among others, used in a case of microscale heat transfer analysis when the thermal processes are characterized by the extremely short duration (e.g. ultrafast laser pulse), the considerable temperature gradients and the very small dimensions (e.g. thin metal film). In the paper the problem of relaxation time identification is considered. In particular, the heat conduction process proceeding in domain of thin metal film subjected to a laser pulse is analyzed. The inverse problem solution is obtained using the evolutionary algorithms. The information concerning the time-dependent temperature distribution on the surface of metal film is assumed to be known. At the stage of numerical computations the finite difference method (FDM) is applied. In the final part of the paper the example of computations is shown.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 97-102
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł