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Membranes 2017, 7(3), 42; doi:10.3390/membranes7030042

The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes

Department of Chemical & Biomolecular Engineering, Clarkson University, Potsdam, NY 13699-5705, USA
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Received: 30 June 2017 / Revised: 25 July 2017 / Accepted: 31 July 2017 / Published: 10 August 2017
(This article belongs to the Special Issue Membrane Transport Modeling)
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Abstract

Membrane rejection models generally neglect the effect of the pore entrance on intrapore particle transport. However, entrance effects are expected to be particularly important with ultrathin membranes, where membrane thickness is typically comparable to pore size. In this work, a 2D model was developed to simulate particle motion for spherical particles moving at small Re and infinite Pe from the reservoir outside the pore into a slit pore. Using a finite element method, particles were tracked as they accelerated across the pore entrance until they reached a steady velocity in the pore. The axial position in the pore where particle motion becomes steady is defined as the particle entrance length (PEL). PELs were found to be comparable to the fluid entrance length, larger than the pore size and larger than the thickness typical of many ultrathin membranes. Results also show that, in the absence of particle diffusion, hydrodynamic particle–membrane interactions at the pore mouth result in particle “funneling” in the pore, yielding cross-pore particle concentration profiles focused at the pore centerline. The implications of these phenomena on rejection from ultrathin membranes are examined. View Full-Text
Keywords: membrane transport models; ultrathin membranes; ultrafiltration; microfiltration; pore entrance membrane transport models; ultrathin membranes; ultrafiltration; microfiltration; pore entrance
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Delavari, A.; Baltus, R. The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes. Membranes 2017, 7, 42.

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