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- Title
Fractional Heat Conduction with Heat Absorption in a Solid with a Spherical Cavity under Time-Harmonic Heat Flux.
- Authors
Povstenko, Yuriy; Kyrylych, Tamara; Woźna-Szcześniak, Bożena; Yatsko, Andrzej
- Abstract
The central-symmetric time-fractional heat conduction equation with heat absorption is investigated in a solid with a spherical hole under time-harmonic heat flux at the boundary. The problem is solved using the auxiliary function, for which the Robin-type boundary condition with a prescribed value of a linear combination of a function and its normal derivative is fulfilled. The Laplace and Fourier sine–cosine integral transformations are employed. Graphical representations of numerical simulation results are given for typical values of the parameters.
- Subjects
HEAT radiation &; absorption; HEAT flux; HEAT equation; FOURIER integrals; HEAT conduction; CAPUTO fractional derivatives; HARMONIC maps
- Publication
Applied Sciences (2076-3417), 2024, Vol 14, Issue 4, p1627
- ISSN
2076-3417
- Publication type
Article
- DOI
10.3390/app14041627