- Tytuł:
- An analytical solution to the problem of time-fractional heat conduction in a composite sphere
- Autorzy:
-
Kukla, S.
Siedlecka, U. - Powiązania:
- https://bibliotekanauki.pl/articles/202020.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
heat conduction
multilayered sphere
Caputo fractional derivative
przewodzenie ciepła
powłoka wielowarstwowa
pochodna ułamkowego rzędu Caputo - Opis:
- An analytical solution to the problem of time-fractional heat conduction in a sphere consisting of an inner solid sphere and concentric spherical layers is presented. In the heat conduction equation, the Caputo time-derivative of fractional order and the Robin boundary condition at the outer surface of the sphere are assumed. The spherical layers are characterized by different material properties and perfect thermal contact is assumed between the layers. The analytical solution to the problem of heat conduction in the sphere for time-dependent surrounding temperature and for time-space-dependent volumetric heat source is derived. Numerical examples are presented to show the effect of the harmonically varying intensity of the heat source and the harmonically varying surrounding temperature on the temperature in the sphere for different orders of the Caputo time-derivative.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 2; 179-186
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł