On Diffusion and Permeation

Stephen S. L. Peppin

doi:10.1515/JNETDY.2009.018

On Diffusion and Permeation

Stephen S. L. Peppin

Research output: Contribution to journal › Article › peer-review

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Abstract

Diffusion and permeation are discussed within the context of irreversible thermodynamics. A new expression for the generalized Stokes-Einstein equation is obtained which links the permeability to the diffusivity of a two-component solution and contains the poroelastic Biot-Willis coefficient. The theory is illustrated by predicting the concentration and pressure profiles during the filtration of a protein solution. At low concentrations the proteins diffuse independently while at higher concentrations they form a nearly rigid porous glass through which the fluid permeates. The theoretically determined pressure drop is nonlinear in the diffusion regime and linear in the permeation regime, in quantitative agreement with experimental measurements. © 2009 Walter de Gruyter, Berlin, New York.

Original language	English (US)
Pages (from-to)	355-369
Number of pages	15
Journal	Journal of Non-Equilibrium Thermodynamics
Volume	34
Issue number	4
DOIs	https://doi.org/10.1515/JNETDY.2009.018
State	Published - Jan 2009
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This research was supported by the King Abdullah University of Science and Technology (KAUST), Award No. KUK-C1-013-04.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1515/JNETDY.2009.018

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title = "On Diffusion and Permeation",

abstract = "Diffusion and permeation are discussed within the context of irreversible thermodynamics. A new expression for the generalized Stokes-Einstein equation is obtained which links the permeability to the diffusivity of a two-component solution and contains the poroelastic Biot-Willis coefficient. The theory is illustrated by predicting the concentration and pressure profiles during the filtration of a protein solution. At low concentrations the proteins diffuse independently while at higher concentrations they form a nearly rigid porous glass through which the fluid permeates. The theoretically determined pressure drop is nonlinear in the diffusion regime and linear in the permeation regime, in quantitative agreement with experimental measurements. {\textcopyright} 2009 Walter de Gruyter, Berlin, New York.",

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AB - Diffusion and permeation are discussed within the context of irreversible thermodynamics. A new expression for the generalized Stokes-Einstein equation is obtained which links the permeability to the diffusivity of a two-component solution and contains the poroelastic Biot-Willis coefficient. The theory is illustrated by predicting the concentration and pressure profiles during the filtration of a protein solution. At low concentrations the proteins diffuse independently while at higher concentrations they form a nearly rigid porous glass through which the fluid permeates. The theoretically determined pressure drop is nonlinear in the diffusion regime and linear in the permeation regime, in quantitative agreement with experimental measurements. © 2009 Walter de Gruyter, Berlin, New York.

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JO - Journal of Non-Equilibrium Thermodynamics

JF - Journal of Non-Equilibrium Thermodynamics

IS - 4

ER -

On Diffusion and Permeation

Abstract

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