Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Technical Sciences

1 2017

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: multilayered sphere

Sortuj według:

Ogranicz wyniki do:

An analytical solution to the problem of time-fractional heat conduction in a composite sphere

Kukla S., Siedlecka U.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2017

Vol. 65, nr 2

179--186

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.