Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F13%3A43895276" target="_blank" >RIV/60461373:22340/13:43895276 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/abs/10.1080/19443994.2013.770273#.UrQ2GFOXmM8" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/19443994.2013.770273#.UrQ2GFOXmM8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/19443994.2013.770273" target="_blank" >10.1080/19443994.2013.770273</a>
Alternative languages
Result language
angličtina
Original language name
Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform
Original language description
Generally, the model of forced diffusion of a penetrant through nonporous polymer membranes can be quantitatively described by a partial differential equation of parabolic type, which is known as Fick's second law. In this article, the detailed explanation of application of the integral transform method (especially Laplace transform) for the solution of Fick's second law at given initial and boundary conditions is presented. Obtained final expression for the concentration profile inside a flat membraneand the diffusion flux through a membrane were verified on permeability data of carbon dioxide and cyclohexane through low-density polyethylene membrane. While CO2 permeation data can be successfully fitted by obtained model, in the case of cyclohexane vapors, when the diffusion coefficient cannot be supposed to be constant due to strong polymer-penetrant interactions (swelling), the agreement between model and experimental data is lower.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP106%2F10%2F1194" target="_blank" >GAP106/10/1194: Separation of volatile organic compounds from air</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Desalination and Water Treatment
ISSN
1944-3994
e-ISSN
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Volume of the periodical
51
Issue of the periodical within the volume
22-24
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
4343-4349
UT code for WoS article
000320503800011
EID of the result in the Scopus database
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