Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
- Resource Type
- article
- Authors
- Stanisław Kukla; Urszula Siedlecka; Mariusz Ciesielski
- Source
- Materials, Vol 15, Iss 20, p 7251 (2022)
- Subject
- heat transfer
dual phase lag model
fractional Caputo derivative
Laplace transform
composite spherical medium
Technology
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Engineering (General). Civil engineering (General)
TA1-2040
Microscopy
QH201-278.5
Descriptive and experimental mechanics
QC120-168.85
- Language
- English
- ISSN
- 1996-1944
In the paper, a solution of the fractional dual-phase-lag heat conduction problem is presented. The considerations are related to the heat conduction in a multi-layered spherical medium with azimuthal symmetry. The final form of the analytical solution is given in a form of the double series of spherical Bessel functions and Legendre functions. Numerical calculations concern the study of the effect of the order of the Caputo derivative on the temperature distribution in a composite solid sphere, hemisphere and spherical cone.