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

Authors

Ras B. Pandey, University of Southern MississippiFollow
J.F. Gettrust, Stennis Space Center
D. Stauffer, Cologne University

Document Type

Article

Publication Date

11-1-2001

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

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 porosity (p). The root mean square (rms) displacements of fluid and its constituents (tracers) show a drift power-law behavior, R∝t in the asymptotic regime (t→∞). The flux current density (j) is found to scale with the porosity according to, j∝(Δp)^β with Δp=p−p_c and β≃1.7.

Comments

© 2001. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Publication Title

Physica A: Statistical Mechanics and Its Applications

Volume

300

Issue

1-2

First Page

1

Last Page

12

Recommended Citation

Pandey, R. B., Gettrust, J., Stauffer, D. (2001). Concentration Gradient, Diffusion, and Flow Through Open Porous Medium Near Percolation Threshold via Computer Simulations. Physica A: Statistical Mechanics and Its Applications, 300(1-2), 1-12.
Available at: https://aquila.usm.edu/fac_pubs/3748