THERMAL SCIENCE

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Jiang-Jun Liu

TWO-DIMENSIONAL HEAT TRANSFER WITH MEMORY PROPERTY IN A FRACTAL SPACE

ABSTRACT
This paper considers a temperature-dependent thermal conductivity with memory property in a fractal space. The two-scale fractal derivative is adopted to model the temperature field in the spatial dimensions, and Caputo fractional derivative is used to describe its memory property. The variational iteration method is employed to solve the mixed model with great success. This paper offers a new window for studying intractable problems arising in porous media or unsmooth boundaries.
KEYWORDS
two-dimensional heat transfer, caputo fractional derivative, memory property, He’s fractal derivative
PAPER SUBMITTED: 2022-01-22
PAPER REVISED: 2023-05-21
PAPER ACCEPTED: 2023-05-21
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403993L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [1993 - 1998]
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Two-dimensional heat transfer with memory property in a fractal space

© 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