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

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 devel...

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Detalles Bibliográficos
Autores principales: Delavari, Armin, Baltus, Ruth
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5618127/
https://www.ncbi.nlm.nih.gov/pubmed/28796197
http://dx.doi.org/10.3390/membranes7030042
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author Delavari, Armin
Baltus, Ruth
author_facet Delavari, Armin
Baltus, Ruth
author_sort Delavari, Armin
collection PubMed
description 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.
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spelling pubmed-56181272017-09-29 The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes Delavari, Armin Baltus, Ruth Membranes (Basel) Article 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. MDPI 2017-08-10 /pmc/articles/PMC5618127/ /pubmed/28796197 http://dx.doi.org/10.3390/membranes7030042 Text en © 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Delavari, Armin
Baltus, Ruth
The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes
title The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes
title_full The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes
title_fullStr The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes
title_full_unstemmed The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes
title_short The Effect of the Pore Entrance on Particle Motion in Slit Pores: Implications for Ultrathin Membranes
title_sort effect of the pore entrance on particle motion in slit pores: implications for ultrathin membranes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5618127/
https://www.ncbi.nlm.nih.gov/pubmed/28796197
http://dx.doi.org/10.3390/membranes7030042
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