THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Kang Jia Wang

,

Hong Chang Sun

,

Zhe Fei

A FRACTAL RESISTANCE-CAPACITANCE CIRCUIT MODEL FOR THE CURRENT FLOWING IN POROUS MEDIA

ABSTRACT
The current flows in a porous media is a very complex nature phenomenon, and it is very difficult to establish its mathematical model with the traditional definition of derivative. In this paper, the fractal resistance-capacitance circuit of porous media is successfully established based on He’s fractal derivative, and the two-scale transform is adopted to solve the fractal circuit. In this fractal resistance-capacitance circuit circuit, the fractal dimension represents the effective porosity of the two plates of the capacitor, and the influence of its value on the fractal resistance-capacitance circuit circuit is also elaborated.
KEYWORDS
He’s fractal derivative, FractalR-C circuit, porous media, Two-scale transform method
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-06-10
PAPER ACCEPTED: 2020-06-12
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200301049W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1477 - 1481]
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A fractal resistance-capacitance circuit model for the current flowing in porous media

© 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