English

Concentration Gradient, Diffusion, and Flow Through Open Porous Medium Near Percolation Threshold via Computer Simulations

Statistical Mechanics 2009-11-07 v1

Abstract

The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and therefore the gradient field depends on the is found to scale with the porosity according to porosity p. The root mean square (rms) displacements of fluid and its constituents (tracers) show a drift power-law behavior, in the asymptotic regime. The flux current density is found to scale with the porosity according to an exponent near 1.7.

Keywords

Cite

@article{arxiv.cond-mat/0108147,
  title  = {Concentration Gradient, Diffusion, and Flow Through Open Porous Medium Near Percolation Threshold via Computer Simulations},
  author = {R. B. Pandey and J. F. Gettrust and D. Stauffer},
  journal= {arXiv preprint arXiv:cond-mat/0108147},
  year   = {2009}
}

Comments

8 figures

R2 v1 2026-07-22T10:25:54.377Z