- Tytuł:
- Modelling of transient heat transport in two-layered crystalline solid films using the interval lattice Boltzmann method
- Autorzy:
-
Belkhayat-Piasecka, A.
Korczak, A. - Powiązania:
- https://bibliotekanauki.pl/articles/122574.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Boltzmann transport equation
interval lattice Boltzmann method
directed interval arithmetic
równanie transportu Boltzmanna
interwałowa metoda siatek Boltzmanna
skierowana arytmetyka interwałowa - Opis:
- In the paper, the numerical modelling of heat transfer in one-dimensional crystalline solid films is considered. A generalized two-layer problem is described by the Boltzmann transport equations transformed in the phonon energy density equations supplemented by the adequate boundary-initial conditions. Such an approach in which the parameters appearing in the problem analysed are treated as the constant values is widely used, but in this paper the interval values of relaxation time and the boundary condition for silicon and diamond are taken into account. The problem formulated has been solved by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. In the final part of the paper the results of numerical computations are presented.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 57-65
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł