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Ultrafiltration of proteins in stagnation flow
Author(s) -
Kozinski A. A.,
Lightfoot E. N.
Publication year - 1971
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690170118
Subject(s) - ultrafiltration (renal) , concentration polarization , chemistry , thermal diffusivity , boundary layer , schmidt number , thermodynamics , mechanics , flow (mathematics) , membrane , viscosity , permeation , chromatography , heat transfer , physics , prandtl number , biochemistry
The effect of viscosity and diffusivity variations on concentration polarization during the ultrafiltration of protein solutions in two‐dimensional stagnation flows is investigated by numerical integration of the equations of continuity and motion. It is found that these effects are surprisingly small and insensitive to the forms of concentration dependence postulated. The high Schmidt numbers and low permeation rates characteristic of these systems result in considerable simplification of the analysis and permit use of a modified Chilton‐Colburn relation for predicting the onset of sludge formation at the membrane‐solution interface. The predicted dependence on Schmidt number agrees with published experimental data for other boundary‐layer flows and suggests the possibility of improved prediction of equipment performance.