A Monte Carlo method is presented for simulating rough surfaces with the fractal behavior. The simulation is based on power-law size distribution of asperity diameter and self-affine property of roughness on surfaces. A probability model based on random number for asperity sizes is developed to...

In this paper, an analysis of the radial flow in the heterogeneous porous media based on fractal and constructal tree networks is presented. A dual-domain model is applied to simulate the heterogeneous porous media embedded with a constructal tree network based on the fractal distribution of...

This work investigates the hydraulic conductivity properties in the fractal-like tree networks between one point and a straight line. The expression for the effective permeability of the networks is derived based on the parallel and series models and the relationship between the effective...