How to determine a boundary condition for diffusion at a thin membrane from experimental data

We present a method of deriving a boundary condition for diffusion at a thin membrane from experimental data. Based on experimental results obtained for normal diffusion of ethanol in water, we show that the derived boundary condition at a membrane contains a term with a Riemann-Liouville fractional...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. E 2017-07, Vol.96 (1-1), p.010101-010101, Article 010101
Main Authors: Kosztołowicz, Tadeusz, Wąsik, Sławomir, Lewandowska, Katarzyna D
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a method of deriving a boundary condition for diffusion at a thin membrane from experimental data. Based on experimental results obtained for normal diffusion of ethanol in water, we show that the derived boundary condition at a membrane contains a term with a Riemann-Liouville fractional time derivative of order 1/2. Such a form of the boundary condition shows that a transfer of particles through a thin membrane is a "long-memory process." The presented method is an example that an important part of the mathematical model of physical processes may be derived directly from experimental data.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.96.010101