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  Nonlinear diffusion in two-dimensional ordered porous media based on a free volume theory.

Godec, A., Gaberscek, M., Jamnik, J., & Merzel, F. (2009). Nonlinear diffusion in two-dimensional ordered porous media based on a free volume theory. The Journal of Chemical Physics, 131(23): 234106. doi:10.1063/1.3274638.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-D811-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-D814-D
Genre: Journal Article

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2473989.pdf (Publisher version), 12MB
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 Creators:
Godec, A.1, Author              
Gaberscek, M., Author
Jamnik , J., Author
Merzel, F., Author
Affiliations:
1Research Group of Mathematical Biophysics, MPI for Biophysical Chemistry, Max Planck Society, ou_2396692              

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Free keywords: diffusion; equations of state; mesoporous materials; van der Waals forces
 Abstract: A continuum nonlinear diffusion model is developed to describe molecular transport in ordered porous media. An existing generic van der Waals equation of state based free volume theory of binary diffusion coefficients is modified and introduced into the two-dimensional diffusion equation. The resulting diffusion equation is solved numerically with the alternating-direction fully implicit method under Neumann boundary conditions. Two types of pore structure symmetries are considered, hexagonal and cubic. The former is modeled as parallel channels while in case of the latter equal-sized channels are placed perpendicularly thus creating an interconnected network. First, general features of transport in both systems are explored, followed by the analysis of the impact of molecular properties on diffusion inside and out of the porous matrix. The influence of pore size on the diffusion-controlled release kinetics is assessed and the findings used to comment recent experimental studies of drug release profiles from ordered mesoporous silicates.

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Language(s): eng - English
 Dates: 2009-12-212009
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1063/1.3274638
 Degree: -

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Title: The Journal of Chemical Physics
Source Genre: Journal
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Pages: 12 Volume / Issue: 131 (23) Sequence Number: 234106 Start / End Page: - Identifier: -