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Fractional heat conduction in multilayer spherical bodies

Kukla S., Siedlecka U.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 4

83--92

In this paper an analytical solution of the time-fractional heat conduction problem in a spherical coordinate system is presented. The considerations deal the two-dimensional problem in multilayer spherical bodies including a hollow sphere, hemisphere and spherical wedge. The mathematical Robin conditions are assumed. The solution is a sum of time-dependent function satisfied homogenous boundary conditions and of a solution of the steady-state problem. Numerical example shows the temperature distributions in the hemisphere for various order of time-derivative.