Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

CF - Fyzikální chemie a teoretická chemie

OECD FORD obor

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Projekt

<a href="/cs/project/GAP106%2F10%2F1194" target="_blank" >GAP106/10/1194: Separace těkavých organických látek ze vzduchu</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Desalination and Water Treatment

ISSN

1944-3994

e-ISSN

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Svazek periodika

51

Číslo periodika v rámci svazku

22-24

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

7

Strana od-do

4343-4349

Kód UT WoS článku

000320503800011

EID výsledku v databázi Scopus

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