Entrance effects in concentration-gradient-driven flow through an ultrathin porous membrane

The Journal of Chemical Physics
Daniel Justin RankinDavid M Huang

Abstract

Transport of liquid mixtures through porous membranes is central to processes such as desalination, chemical separations, and energy harvesting, with ultrathin membranes made from novel 2D nanomaterials showing exceptional promise. Here, we derive, for the first time, general equations for the solution and solute fluxes through a circular pore in an ultrathin planar membrane induced by a solute concentration gradient. We show that the equations accurately capture the fluid fluxes measured in finite-element numerical simulations for weak solute-membrane interactions. We also derive scaling laws for these fluxes as a function of the pore size and the strength and range of solute-membrane interactions. These scaling relationships differ markedly from those for concentration-gradient-driven flow through a long cylindrical pore or for flow induced by a pressure gradient or an electric field through a pore in an ultrathin membrane. These results have broad implications for transport of liquid mixtures through membranes with thickness on the order of the characteristic pore size.

References

Oct 1, 1975·The Journal of General Physiology·J E Hall
Sep 4, 2008·Physical Review Letters·David M HuangLydéric Bocquet
Apr 22, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Douwe Jan BonthuisRoland R Netz
Aug 6, 2011·Science·Menachem Elimelech, William A Phillip
Aug 17, 2012·Nature·Bruce E Logan, Menachem Elimelech
Jul 16, 2014·Langmuir : the ACS Journal of Surfaces and Colloids·J D SherwoodS Ghosal
Mar 24, 2015·Nature Nanotechnology·Sumedh P SurwadeShannon M Mahurin
Jan 26, 2016·Nano Letters·David Cohen-TanugiJeffrey C Grossman
Mar 19, 2016·Langmuir : the ACS Journal of Surfaces and Colloids·Daniel Justin Rankin, David Mark Huang
Jun 15, 2016·Physical Review. E·P B PetersP M Biesheuvel
Jul 15, 2016·Nature·Jiandong FengAleksandra Radenovic
Nov 23, 2016·Proceedings of the National Academy of Sciences of the United States of America·Xiuqiang LiJia Zhu
Feb 6, 2017·ACS Nano·Michael I WalkerUlrich F Keyser
May 22, 2017·The Journal of Chemical Physics·Sophie MarbachLydéric Bocquet
Jul 16, 2017·Physical Review. E·Dmitriy V MelnikovMaria E Gracheva
Aug 29, 2017·Nature Nanotechnology·Aaron Morelos-GomezMorinobu Endo

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Citations

Oct 23, 2019·Scientific Reports·Angus McMullenDerek Stein

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