## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2020-03-01

PAPER REVISED: 2020-06-10

PAPER ACCEPTED: 2020-06-12

PUBLISHED ONLINE: 2021-01-31

**THERMAL SCIENCE** YEAR

**2021**, VOLUME

**25**, ISSUE

**Issue 2**, PAGES [1477 - 1481]

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