Local fractional Helmholtz simulation for heat conduction in fractal media
Author(s) -
Shuxian Deng,
Xinxin Ge
Publication year - 2019
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci180312238d
Subject(s) - laplace transform , thermal conduction , fractal , fourier transform , integral transform , mathematical analysis , heat transfer , helmholtz equation , helmholtz free energy , relativistic heat conduction , heat equation , mathematics , physics , mechanics , thermodynamics , heat flux , boundary value problem
In this paper, we consider the generalized local fractional 2-D Helmholtz equation in steady heat transfer process, which can be used to model the steady-state heat conduction in fractal media. The Yang-Fourier transform and Yang-Laplace transform method are used to solve the equation. The integral expression of the solutions is obtained in detail.
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