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Flow and fouling in a pleated membrane filter

Published online by Cambridge University Press:  13 April 2016

P. Sanaei ,
G. W. Richardson ,
T. Witelski  and
L. J. Cummings
P. Sanaei
Affiliation:
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102-1982, USA
G. W. Richardson
Affiliation:
Mathematical Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK
T. Witelski
Affiliation:
Mathematics Department, Duke University, Box 90320, Durham, NC 27708-0320, USA
L. J. Cummings*
Affiliation:
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102-1982, USA
*
†Email address for correspondence: Linda.Cummings@njit.edu
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Abstract

Pleated membrane filters are widely used in many applications, and offer significantly better surface area to volume ratios than equal-area unpleated membrane filters. However, their filtration characteristics are markedly inferior to those of equivalent unpleated membrane filters in dead-end filtration. While several hypotheses have been advanced for this, one possibility is that the flow field induced by the pleating leads to spatially non-uniform fouling of the filter, which in turn degrades performance. In this paper we investigate this hypothesis by developing a simplified model for the flow and fouling within a pleated membrane filter. Our model accounts for the pleated membrane geometry (which affects the flow), for porous support layers surrounding the membrane, and for two membrane fouling mechanisms: (i) adsorption of very small particles within membrane pores; and (ii) blocking of entire pores by large particles. We use asymptotic techniques based on the small pleat aspect ratio to solve the model, and we compare solutions to those for the closest-equivalent unpleated filter.

JFM classification

Low-Reynolds-number flows: Low-Reynolds-number flows Low-Reynolds-number flows: Porous media Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 795 , 25 May 2016 , pp. 36 - 59
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Copyright
© 2016 Cambridge University Press 

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