- Tytuł:
- Time-fractional heat conduction in a finite composite cylinder with heat source
- Autorzy:
-
Kukla, Stanisław
Siedlecka, Urszula - Powiązania:
- https://bibliotekanauki.pl/articles/1839814.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
ractional heat conduction
Caputo derivative
composite cylinder
pochodna Caputo
cylinder kompozytowy
przewodzenie ciepła - Opis:
- In this paper, the effect of the fractional order of the Caputo time-derivative occurring in heat conduction models on the temperature distribution in a finite cylinder consisting of an inner solid cylinder and an outer concentric layer is investigated. The inner cylinder (core) and the cylindrical layer are in perfect thermal contact. The Robin boundary condition on the outer surface and the Neumann conditions on the ends of the cylinder are assumed. An internal heat source is represented in the mathematical model by taking into account in the heat conduction equation of a function which depends on the space and time variable. An analytical solution of the problem is derived in the form of the double series of eigenfunctions. Numerical examples are presented.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 2; 85-94
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł