Deposition of Brownian particles in porous media: Modified boundary conditions for the sphere-in-cell model

Lianfa Song; Menachem Elimelech

doi:10.1016/0021-9797(92)90321-C

Deposition of Brownian particles in porous media: Modified boundary conditions for the sphere-in-cell model

Lianfa Song, Menachem Elimelech

Civil Environ Construct Engineering

Research output: Contribution to journal › Article

20 Scopus citations

Abstract

Modified boundary conditions for solving the convective diffusion equation for Brownian particles as applied in the Happel sphere-in-cell porous medium model are presented. With the modified boundary conditions, the convective diffusion equation correctly predicts the deposition rates of Brownian particles at low Peclet numbers. At moderate and large Peclet numbers, colloid deposition rates are similar to those calculated with existing models.

Original language	English
Pages (from-to)	294-297
Number of pages	4
Journal	Journal of Colloid And Interface Science
Volume	153
Issue number	1
DOIs	https://doi.org/10.1016/0021-9797(92)90321-C
State	Published - Oct 1 1992

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Song, L., & Elimelech, M. (1992). Deposition of Brownian particles in porous media: Modified boundary conditions for the sphere-in-cell model. Journal of Colloid And Interface Science, 153(1), 294-297. https://doi.org/10.1016/0021-9797(92)90321-C

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abstract = "Modified boundary conditions for solving the convective diffusion equation for Brownian particles as applied in the Happel sphere-in-cell porous medium model are presented. With the modified boundary conditions, the convective diffusion equation correctly predicts the deposition rates of Brownian particles at low Peclet numbers. At moderate and large Peclet numbers, colloid deposition rates are similar to those calculated with existing models.",

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N2 - Modified boundary conditions for solving the convective diffusion equation for Brownian particles as applied in the Happel sphere-in-cell porous medium model are presented. With the modified boundary conditions, the convective diffusion equation correctly predicts the deposition rates of Brownian particles at low Peclet numbers. At moderate and large Peclet numbers, colloid deposition rates are similar to those calculated with existing models.

AB - Modified boundary conditions for solving the convective diffusion equation for Brownian particles as applied in the Happel sphere-in-cell porous medium model are presented. With the modified boundary conditions, the convective diffusion equation correctly predicts the deposition rates of Brownian particles at low Peclet numbers. At moderate and large Peclet numbers, colloid deposition rates are similar to those calculated with existing models.

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10.1016/0021-9797(92)90321-C

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