THERMAL SCIENCE

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Xiao-Jun Yang

NEW INSIGHT INTO THE FOURIER-LIKE AND DARCY-LIKE MODELS IN POROUS MEDIUM

ABSTRACT
In this study, we propose the general calculus operators based on the Richardson scaling law and Korcak scaling law. The Richardson-scaling-law calculus is considered to investigate the Fourier-like law for the scaling-law flow of the heat in the heat-transfer process. The Korcak-scaling-law calculus is used to model the Darcy-like law for describing the scaling-law flow of the fluid in porous medium. The formulas are as the special cases of the topology calculus proposed for descriptions of the fractal scaling-law behaviors in nature phenomena.
KEYWORDS
scaling law, Richardson-scaling-law calculus, Fourier-like law, Korcak-scaling-law calculus, Darcy-like law, topology calculus
PAPER SUBMITTED: 2019-05-12
PAPER REVISED: 2020-01-12
PAPER ACCEPTED: 2020-01-25
PUBLISHED ONLINE: 2020-11-27
DOI REFERENCE: https://doi.org/10.2298/TSCI2006847Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 6, PAGES [3847 - 3858]
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New insight into the Fourier-like and Darcy-like models in porous medium

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