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

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Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.tandfonline.com/doi/abs/10.1080/19443994.2013.770273#.UrQ2GFOXmM8
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 membrane and 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. 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 membrane and 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. (en)
Title	Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform (en)
skos:prefLabel	Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform Derivation of the permeation equation for diffusion of gases and vapors in flat membrane by using Laplace transform (en)
skos:notation	RIV/60461373:22340/13:43895276!RIV14-GA0-22340___
http://linked.open...avai/predkladatel	Fakulta chemicko-inženýrská
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP106/10/1194), Z(MSM6046137306)
http://linked.open...iv/cisloPeriodika	22-24
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Friess, Karel Zgažar, Miroslav Šípek, Milan Dubcová, Miroslava
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola chemicko-technologická v Praze / Fakulta chemicko-inženýrská
http://linked.open...dnocenehoVysledku	68467
http://linked.open...ai/riv/idVysledku	RIV/60461373:22340/13:43895276
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Flat membrane; vapor permeation; Gas; Diffusion; Laplace transform (en)
http://linked.open.../riv/klicoveSlovo	Flat membrane vapor permeation Laplace transform Diffusion Gas
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[0DF8FACC5865]
http://linked.open...i/riv/nazevZdroje	Desalination and Water Treatment
http://linked.open...in/vavai/riv/obor	CF
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Separation of volatile organic compounds from air
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	51
http://linked.open...iv/tvurceVysledku	Friess, Karel Zgažar, Miroslav Šípek, Milan Dubcová, Miroslava
http://linked.open...ain/vavai/riv/wos	000320503800011
http://linked.open...n/vavai/riv/zamer	Reakčně-transportní chemicko-inženýrské systémy a jejich dynamické chování, modelování a řízení chemických a biotechnologických procesů
issn	1944-3994
number of pages	7 (xsd:int)
http://bibframe.org/vocab/doi	10.1080/19443994.2013.770273
http://localhost/t...ganizacniJednotka	22340

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