THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiao-Jun Yang

,

Pei-Tao Qiu

,

Gang-Lin Liu

A NEW INSIGHT ON ANALYTICAL THEORY OF THE SCALING LAW HEAT CONDUCTION ASSOCIATED WITH THE RICHARDSON SCALING LAW

ABSTRACT
In this article, we propose a new model for the scaling law heat conduction equation associated with the Richardson scaling law. To find the analytical solution for it, we present a scaling law series associated with the Kohlrausch-Williams-Watts function analogous to the Fourier series. The proposed technology is efficient to handle the Richardson scaling law problems in mathematical physics.
KEYWORDS
scaling law heat conduction equation, scaling law series, Kohlrausch-Williams-Watts function, Richardson scaling law
PAPER SUBMITTED: 2021-06-01
PAPER REVISED: 2021-07-20
PAPER ACCEPTED: 2021-07-29
PUBLISHED ONLINE: 2022-04-09
DOI REFERENCE: https://doi.org/10.2298/TSCI2202025Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 2, PAGES [1025 - 1035]
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A new insight on analytical theory of the scaling law heat conduction associated with the Richardson scaling law

© 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