Clogging Time of a Filter

Details Clogging Time of a Filter Clogging Time of a Filter

2000-01-24

arxiv.org/abs/cond-mat/0001343v1

Phys. Rev. Lett. 84, 6018-6021 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, revtex 2-column format

Scientific paper

10.1103/PhysRevLett.84.6018

We study the time until a filter becomes clogged due to the trapping of suspended particles as they pass through a porous medium. This trapping progressively impedes and eventually stops the flow of the carrier fluid. We develop a simple description for the pore geometry and the motion of the suspended particles which, together with extreme-value statistics, predicts that the distribution of times until a filter clogs has a power-law long-time tail, with an infinite mean clogging time. These results and its consequences are in accord with simulations on a square lattice porous network.

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