Open AccessA fractal resistance-capacitance circuit model for the current flowing in porous media
Author(s) -
KangJia Wang,
Hong-Chang Sun,
Zhe Fei
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci200301049w
Subject(s) - fractal , capacitance , fractal dimension , materials science , fractal derivative , capacitor , electrical engineering , mathematics , physics , mathematical analysis , fractal analysis , engineering , voltage , electrode , quantum mechanics
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.