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Journal of Porous Media
Factor de Impacto: 1.49 Factor de Impacto de 5 años: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i8.30
pages 735-744

ADEQUACY OF SURFACE DIFFUSION MODELS TO SIMULATE NONEQUILIBRIUM MASS TRANSFER IN SOILS

Nazmul Hasan
Civil and Environmental Engineering, Washington State University, Richland, WA 99354
Md. Akram Hossain
Civil and Environmental Engineering, Washington State University, Richland, Washington 99354

SINOPSIS

Diffusion from intra-particle pore spaces is considered to be the main reason for the slow release of contaminants from soil. Diffusion-controlled mass transfer can be simulated by the homogeneous surface diffusion model (HSDM). The objective of this paper is to present a simplified HSDM model (SHSDM) and a finite element HSDM model (FEHSDM) to simulate advective-dispersive transport through soils, coupled with intra-particle diffusion, under nonequilibrium conditions and compare these models with the dispersed flow, film and particle diffusion model (DF-FPDM) that has recently been reported in literature. The FEHSDM predictions compare well with experimental data for slightly hydrophobic compounds. The SHSDM and the DF-FPDM predictions, on the other hand, compare well with experimental results for relatively hydrophobic compounds. The SHSDM and the DF-FPDM predictions are practically the same for mass transfer Biot numbers Bi ≥ 20. However, considerable difference in the predictions of these two models is observed for Bi ≤ 1. The SHSDM and the DF-FPDM, by and large, provide convergent results and remain stable for Peclet numbers Pe ≤ 2.5 and Courant number Cr ≤ 1.0, with the FEHSDM requiring finer spatial and temporal discretizations.