8 citations · 11 across the 12 of their papers we have counts for
12 papers
Effective conductivities of some multi-color, isotropic, regular tessellations
Clinton DeW. Van Siclen
Algebraic expressions are found for the effective conductivities of some infinite tessellations composed of conducting square, triangular, or hexagonal tiles. A tessellation is fur…
Transport properties of the Menger sponge
Clinton DeW. Van Siclen
The Menger sponge is a three-dimensional cube that comprises a self-similar, fractal domain and a non-fractal domain, both of which are continuous. Thus it is a useful heuristic mo…
Fluid infiltration of a heterogeneous medium: A stochastic model
Clinton DeW. Van Siclen
Fluid infiltration of a permeable brick in contact with a pressurized reservoir of fluid is considered. A stochastic model, informed by Darcy's law and the incompressibility of the…
Random walker derivation of Archie's law
Clinton DeW. Van Siclen
Theoretical justification is provided for Archie's law. This phenomenological equation, having the form of a power law, relates the measured electrical resistivity of electrolyte-s…
Effective conductivity of the infinite checkerboard and its higher-dimension analogs
Clinton DeW. Van Siclen
The effective conductivity of the infinite checkerboard (chessboard) and analogous higher-dimensional checkered structures, are considered. An algebraic expression is derived by ac…
Walker diffusion method for solution of ohmic circuit problems
Clinton DeW. Van Siclen
A probabilistic method is derived for solution of ohmic circuit problems. It is compared to the standard approach, which is construction and solution of a set of coupled, linear eq…