2011
DOI: 10.5586/asbp.2009.012
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Derivation of the formula for the filtration coefficient by application of Poiseuille's law in membrane transport

Abstract: On the basis of Kedem-Katchalsky equations a mathematical analysis of volume flow (Jv) of a binary solution through a membrane (M) is presented. Two cases of transport generators have been considered: hydrostatic (Δp) as well as osmotic (Δπ) pressure difference. Based on the Poiseuille's law we derive the formula for the membrane filtration coefficient (Lp) which takes into account the membrane properties, kinetic viscosity and density of a solution flowing across the membrane. With use of this formula we have… Show more

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Cited by 3 publications
(2 citation statements)
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“…The next step is to establish an equation that can describe the effect of flow on the passive permeation of R123. For this purpose, Equation ( 9) can be re-written in this form [41]:…”
Section: Mbarmentioning
confidence: 99%
“…The next step is to establish an equation that can describe the effect of flow on the passive permeation of R123. For this purpose, Equation ( 9) can be re-written in this form [41]:…”
Section: Mbarmentioning
confidence: 99%
“…In order to describe the membrane transport for binary nonelectrolyte solutions, the transport equations derived by Katchalsky and Kedem [3][4][5][6] in 1985 turned out to be highly useful. The Kedem-Katchalsky (K-K) transport equations played an important role in the literature of permeation through both biological and artificial membranes.…”
Section: Introductionmentioning
confidence: 99%