Fractional Heat Conduction with Heat Absorption in a Solid with a Spherical Cavity under Time-Harmonic Heat Flux

被引：1

作者：

Povstenko, Yuriy ^{[1
]}

Kyrylych, Tamara ^{[1
]}

Wozna-Szczesniak, Bozena ^{[1
]}

Yatsko, Andrzej ^{[2
]}

机构：

[1] Jan Dlugosz Univ Czestochowa, Fac Sci & Technol, Dept Math & Comp Sci, Al Armii Krajowej 13-15, PL-42200 Czestochowa, Poland

[2] Koszalin Univ Technol, Fac Civil Engn Environm & Geodes Sci, Dept Math, Sniadeckich 2, PL-75453 Koszalin, Poland

来源：

APPLIED SCIENCES-BASEL | 2024年 / 14卷 / 04期

关键词：

heat conduction; fractional calculus; long-tail" memory; Riemann-Liouville fractional derivative; Caputo fractional derivative; generalized Fourier law; time-harmonic impact; Mittag-Leffler function; PHASE-LAG MODEL; THERMOELASTIC INTERACTIONS; NUMERICAL-SIMULATION; BIOHEAT EQUATION; UNBOUNDED BODY; DIFFUSION; TISSUES;

D O I：

10.3390/app14041627

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

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.

引用

页数：16

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