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 made model calculations of the filtration coefficient Lp and volume flow Jv for a polymer membrane in the case when the solutions on both sides of the membrane are mixed.

Details

Title
Derivation of the formula for the filtration coefficient by application of Poiseuille's law in membrane transport
Author
Jarzyńska, Maria; Pietruszka, Mariusz
Pages
93-96
Publication year
2009
Publication date
2009
Publisher
Polish Botanical Society
ISSN
00016977
e-ISSN
20839480
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1962297524
Copyright
Copyright (c) 2011 Maria Jarzyńska, Mariusz Pietruszka. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0 (the “License”). Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the terms of the License.