Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect

In this paper, we propose a mathematical model for flow and transport processes of diluted solutions in domains separated by a leaky semipermeable membrane. We formulate transmission conditions for the flow and the solute concentration across the membrane which take into account the property of the...

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Hauptverfasser: Hron, Jaroslav (VerfasserIn) , Neuss-Radu, Maria (VerfasserIn) , Pustějovská, Petra (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 11 May 2011
In: Applications of mathematics
Year: 2011, Jahrgang: 56, Heft: 1, Pages: 51-68
ISSN:1572-9109
DOI:10.1007/s10492-011-0009-0
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s10492-011-0009-0
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Verfasserangaben:Jaroslav Hron, Maria Neuss-Radu, Petra Pustějovská
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Zusammenfassung:In this paper, we propose a mathematical model for flow and transport processes of diluted solutions in domains separated by a leaky semipermeable membrane. We formulate transmission conditions for the flow and the solute concentration across the membrane which take into account the property of the membrane to partly reject the solute, the accumulation of rejected solute at the membrane, and the influence of the solute concentration on the volume flow, known as osmotic effect.
Beschreibung:Gesehen am 30.06.2022
Beschreibung:Online Resource
ISSN:1572-9109
DOI:10.1007/s10492-011-0009-0