A fractal resistance-capacitance circuit model for the current flowing in porous media | Zendy

KangJia Wang | Zendy; Hong-Chang Sun | Zendy; Zhe Fei | Zendy

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A 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

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.

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