THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiao-Jun Yang

,

Ping Cui

,

Jian-Gen Liu

A NEW VIEWPOINT ON THEORY OF THE SCALING-LAW HEAT CONDUCTION PROCESS

ABSTRACT
In this article, we suggest a new model for the heat-conduction problem by us­ing the scaling-law vector calculus with Mandelbrot scaling law. The linear and non-linear scaling-law heat conduction equations are considered as analogues to the work of Fourier, Laplace, and Burgers. The obtained results are considered as typical examples to deal with the Mandelbrots scaling-law phenomena in heat transport system.
KEYWORDS
scaling-law heat conduction equation, fractals, heat conduction, scaling-law vector calculus, Mandelbrots scaling-law phenomena
PAPER SUBMITTED: 2020-06-01
PAPER REVISED: 2020-07-20
PAPER ACCEPTED: 2020-07-29
PUBLISHED ONLINE: 2021-12-24
DOI REFERENCE: https://doi.org/10.2298/TSCI2106505Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 6, PAGES [4505 - 4513]
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A new viewpoint on theory of the scaling-law heat conduction process

© 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