A fractal resistance-capacitance circuit model for the current flowing in porous media
Kang‐Jia Wang, Hong-Chang Sun, Zhe Fei
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.
Topics & Concepts
FractalCapacitanceFractal dimensionMaterials scienceFractal derivativeCapacitorElectrical engineeringMathematicsPhysicsMathematical analysisFractal analysisEngineeringVoltageElectrodeQuantum mechanicsNeural Networks and ApplicationsMusic and Audio Processing