Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect |
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Authors: | Jaroslav Hron Maria Neuss-Radu Petra Pustějovská |
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Institution: | 1.Mathematical Institute of Charles University,Praha 8,Czech Republic;2.Interdisciplinary Center for Scientific Computing (IWR),University of Heidelberg,Heidelberg,Germany |
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Abstract: | 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. |
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