Revista 28 - 1

Published

2008-01-01

Mathematical models of membrane fouling in cross-flow micro-filtration

Modelos matemáticos de la colmatación de membranas en microfiltración tangencial

DOI:

https://doi.org/10.15446/ing.investig.v28n1.14876

Keywords:

fouling, membrane, microfiltration, mathematical model, concentration polarisation, pore blocking, shear-induced diffusion, lateral migration (en)
colmatación, membranas, microfiltración, modelos matemáticos, polarización de la concentración, bloqueo de poro, difusión de corte inducido, migración lateral (es)

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Authors

  • Mónica Jimena Ortíz Jerez Universidad del Valle
  • Carlos Antonio Vélez Pasos Universidad del Valle
  • Edinson Franco Mejía Universidad del Valle

The greatest difficulty arising during cross-flow micro-filtration is the formation of a cake layer on the membrane surface (also called fouling), thereby affecting system performance. Fouling has been related to permeate flux decay resulting from changes in operating variables. Many articles have been published in an attempt to explain this phenomenon but it has not yet been fully understood because it depends on specific solution/membrane interactions and differing parameters. This work was aimed at presenting an analytical review of recently published mathematical models to explain fouling. Although the reviewed models can be adjusted to any type of application, a simple “concentration polarisation” model is advisable in the particular case of tropical fruit juices for describing the insoluble solids being deposited on membrane surface.

La mayor dificultad durante la microfiltración tangencial es la formación de una capa de torta en la superficie membranaria, también llamada “colmatación”, la cual afecta el desempeño del sistema. La colmatación se ha relacionado al decaimiento del flux de permeado como resultado de cambios en las variables de operación. Muchos trabajos se han publicado para explicar este fenómeno, pero aún no se ha entendido totalmente porque depende de interacciones específicas solución/membrana y de diversos parámetros. El objeto de este trabajo es presentar una revisión analítica de los modelos matemáticos recientemente publicados para explicar el fenómeno de colmatación. Aunque los modelos revisados se ajustan a cualquier tipo de aplicación, en el caso particular de jugos de frutas tropicales, un modelo sencillo de “polarización de la concentración” es conveniente para describir la deposición de los sólidos insolubles en la superficie de la membrana.

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How to Cite

APA

Ortíz Jerez, M. J., Vélez Pasos, C. A. and Franco Mejía, E. (2008). Mathematical models of membrane fouling in cross-flow micro-filtration. Ingeniería e Investigación, 28(1), 123–132. https://doi.org/10.15446/ing.investig.v28n1.14876

ACM

[1]
Ortíz Jerez, M.J., Vélez Pasos, C.A. and Franco Mejía, E. 2008. Mathematical models of membrane fouling in cross-flow micro-filtration. Ingeniería e Investigación. 28, 1 (Jan. 2008), 123–132. DOI:https://doi.org/10.15446/ing.investig.v28n1.14876.

ACS

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Ortíz Jerez, M. J.; Vélez Pasos, C. A.; Franco Mejía, E. Mathematical models of membrane fouling in cross-flow micro-filtration. Ing. Inv. 2008, 28, 123-132.

ABNT

ORTÍZ JEREZ, M. J.; VÉLEZ PASOS, C. A.; FRANCO MEJÍA, E. Mathematical models of membrane fouling in cross-flow micro-filtration. Ingeniería e Investigación, [S. l.], v. 28, n. 1, p. 123–132, 2008. DOI: 10.15446/ing.investig.v28n1.14876. Disponível em: https://revistas.unal.edu.co/index.php/ingeinv/article/view/14876. Acesso em: 26 mar. 2025.

Chicago

Ortíz Jerez, Mónica Jimena, Carlos Antonio Vélez Pasos, and Edinson Franco Mejía. 2008. “Mathematical models of membrane fouling in cross-flow micro-filtration”. Ingeniería E Investigación 28 (1):123-32. https://doi.org/10.15446/ing.investig.v28n1.14876.

Harvard

Ortíz Jerez, M. J., Vélez Pasos, C. A. and Franco Mejía, E. (2008) “Mathematical models of membrane fouling in cross-flow micro-filtration”, Ingeniería e Investigación, 28(1), pp. 123–132. doi: 10.15446/ing.investig.v28n1.14876.

IEEE

[1]
M. J. Ortíz Jerez, C. A. Vélez Pasos, and E. Franco Mejía, “Mathematical models of membrane fouling in cross-flow micro-filtration”, Ing. Inv., vol. 28, no. 1, pp. 123–132, Jan. 2008.

MLA

Ortíz Jerez, M. J., C. A. Vélez Pasos, and E. Franco Mejía. “Mathematical models of membrane fouling in cross-flow micro-filtration”. Ingeniería e Investigación, vol. 28, no. 1, Jan. 2008, pp. 123-32, doi:10.15446/ing.investig.v28n1.14876.

Turabian

Ortíz Jerez, Mónica Jimena, Carlos Antonio Vélez Pasos, and Edinson Franco Mejía. “Mathematical models of membrane fouling in cross-flow micro-filtration”. Ingeniería e Investigación 28, no. 1 (January 1, 2008): 123–132. Accessed March 26, 2025. https://revistas.unal.edu.co/index.php/ingeinv/article/view/14876.

Vancouver

1.
Ortíz Jerez MJ, Vélez Pasos CA, Franco Mejía E. Mathematical models of membrane fouling in cross-flow micro-filtration. Ing. Inv. [Internet]. 2008 Jan. 1 [cited 2025 Mar. 26];28(1):123-32. Available from: https://revistas.unal.edu.co/index.php/ingeinv/article/view/14876

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Copyright (c) 2008 Mónica Jimena Ortíz Jerez, Carlos Antonio Vélez Pasos, Edinson Franco Mejía

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