THERMAL SCIENCE

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Shu-Xian Deng

,

Xin-Xin Ge

LOCAL FRACTIONAL HELMHOLTZ SIMULATION FOR HEAT CONDUCTION IN FRACTAL MEDIA

ABSTRACT
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.
KEYWORDS
local fractional Helmholtz equation, Yang-Fourier transform, Yang-Laplace transform, steady heat transfer
PAPER SUBMITTED: 2018-03-12
PAPER REVISED: 2018-06-18
PAPER ACCEPTED: 2018-11-23
PUBLISHED ONLINE: 2019-05-26
DOI REFERENCE: https://doi.org/10.2298/TSCI180312238D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1671 - 1675]
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Local fractional Helmholtz simulation for heat conduction in fractal media

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence