Thermal Science

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Ji-Huan He

SEEING WITH A SINGLE SCALE IS ALWAYS UNBELIEVING FROM MAGIC TO TWO-SCALE FRACTAL

ABSTRACT

A same phenomenon can lead to debating laws when observed on different scales, two-scale observation is needed for a discontinuous problem, the large scale matches with the continuum assumption, while the smaller one is to reveal the discontinuous properties. The basic properties of two-scale fractal are discussed in a layman way.

KEYWORDS

two-scale mathematics, two-scale thermodynamics, fractal calculus, fractal space, non-smooth boundary problem, porous medium, two-scale turbulence model

PAPER SUBMITTED: 2020-07-15

PAPER REVISED: 2020-07-15

PAPER ACCEPTED: 2020-07-15

PUBLISHED ONLINE: 2021-04-11

DOI REFERENCE: https://doi.org/10.2298/TSCI2102217H

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE No. 2, PAGES [1217 - 1219]

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Seeing with a single scale is always unbelieving from magic to two-scale fractal

© 2026 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