Technical Briefs

On Diffusion Through Soft Filter

[+] Author and Article Information
K. Y. Volokh

Faculty of Civil and Environmental Engineering, Technion— Israel Institute of Technology, Hafia 32000, Israelcvolokh@technion.ac.il

J. Appl. Mech 79(6), 064503 (Sep 17, 2012) (3 pages) doi:10.1115/1.4005578 History: Received January 12, 2011; Revised October 27, 2011; Posted February 01, 2012; Published September 17, 2012; Online September 17, 2012

Diffusion through soft polymer filters is a nonlinear process: the increase of the pressure on the filtrating liquid does not trigger the proportional increase of the flux through the filter. There are two sources of nonlinearity: the diffusivity properties of the filter and its high deformability. In the present work we use a theoretical formulation coupling large deformations and diffusion to describe a liquid flux through a polymeric filter. Two key factors making the present formulation simple are the molecular incompressibility condition and the nonlinear mobility tensor. The developed model is calibrated based on the experiments on toluene-rubber filtration.

Copyright © 2012 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Diffusion through a soft polymer filter

Grahic Jump Location
Figure 2

Flux versus pressure



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