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Title: Ionic diffusioosmotic transport in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory

Abstract

In this paper, we study the diffusioosmotic (DOS) transport in a nanochannel grafted with pH-responsive polyelectrolyte (PE) brushes and establish brush-functionalization-driven enhancement in induced nanofluidic electric field and electrokinetic transport. The PE brushes are modelled using our recently developed augmented strong stretching theory (SST). We consider the generation of the DOS transport due to the imposition of a salt concentration gradient along the length of the nanochannel. The presence of the salt concentration gradient induces an electric field that has an osmotic (associated with the flow-driven migration of the ions in the induced electric double layer) and an ionic (associated with the conduction current) component. These two components evolve in a manner such that the electric field in the brush-grafted nanochannel is larger (smaller) in magnitude than that in the brush-less nanochannels for the case where the electric field is positive (negative). Furthermore, we quantify the DOS flow velocity and establish that for most of the parameter choices, the DOS velocity, which is a combination of the induced pressure-gradient-driven chemiosmotic component and the induced electric field driven electroosmotic transport, is significantly larger for the nanochannels grafted with backbone-charged PE brushes (i.e., brushes where the charge is distributed along the entiremore » length of the brushes) as compared to brush-free nanochannels or nanochannels grafted with PE brushes containing charges on their non-grafted ends.« less

Authors:
 [1];  [1];  [1]; ORCiD logo [1]
  1. Univ. of Maryland, College Park, MD (United States)
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1615506
Alternate Identifier(s):
OSTI ID: 1615403
Grant/Contract Number:  
SC0017741
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 32; Journal Issue: 4; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Sivasankar, Vishal Sankar, Etha, Sai Ankit, Sachar, Harnoor Singh, and Das, Siddhartha. Ionic diffusioosmotic transport in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory. United States: N. p., 2020. Web. doi:10.1063/1.5143661.
Sivasankar, Vishal Sankar, Etha, Sai Ankit, Sachar, Harnoor Singh, & Das, Siddhartha. Ionic diffusioosmotic transport in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory. United States. https://doi.org/10.1063/1.5143661
Sivasankar, Vishal Sankar, Etha, Sai Ankit, Sachar, Harnoor Singh, and Das, Siddhartha. Mon . "Ionic diffusioosmotic transport in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory". United States. https://doi.org/10.1063/1.5143661. https://www.osti.gov/servlets/purl/1615506.
@article{osti_1615506,
title = {Ionic diffusioosmotic transport in nanochannels grafted with pH-responsive polyelectrolyte brushes modeled using augmented strong stretching theory},
author = {Sivasankar, Vishal Sankar and Etha, Sai Ankit and Sachar, Harnoor Singh and Das, Siddhartha},
abstractNote = {In this paper, we study the diffusioosmotic (DOS) transport in a nanochannel grafted with pH-responsive polyelectrolyte (PE) brushes and establish brush-functionalization-driven enhancement in induced nanofluidic electric field and electrokinetic transport. The PE brushes are modelled using our recently developed augmented strong stretching theory (SST). We consider the generation of the DOS transport due to the imposition of a salt concentration gradient along the length of the nanochannel. The presence of the salt concentration gradient induces an electric field that has an osmotic (associated with the flow-driven migration of the ions in the induced electric double layer) and an ionic (associated with the conduction current) component. These two components evolve in a manner such that the electric field in the brush-grafted nanochannel is larger (smaller) in magnitude than that in the brush-less nanochannels for the case where the electric field is positive (negative). Furthermore, we quantify the DOS flow velocity and establish that for most of the parameter choices, the DOS velocity, which is a combination of the induced pressure-gradient-driven chemiosmotic component and the induced electric field driven electroosmotic transport, is significantly larger for the nanochannels grafted with backbone-charged PE brushes (i.e., brushes where the charge is distributed along the entire length of the brushes) as compared to brush-free nanochannels or nanochannels grafted with PE brushes containing charges on their non-grafted ends.},
doi = {10.1063/1.5143661},
journal = {Physics of Fluids},
number = 4,
volume = 32,
place = {United States},
year = {Mon Apr 20 00:00:00 EDT 2020},
month = {Mon Apr 20 00:00:00 EDT 2020}
}

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Works referenced in this record:

Semianalytical Continuum Model for Nondilute Neutral and Charged Brushes Including Finite Stretching
journal, August 2008

  • Biesheuvel, P. M.; de Vos, W. M.; Amoskov, V. M.
  • Macromolecules, Vol. 41, Issue 16
  • DOI: 10.1021/ma800828c

Behavior of Surface-Anchored Poly(acrylic acid) Brushes with Grafting Density Gradients on Solid Substrates: 1. Experiment
journal, November 2007

  • Wu, Tao; Gong, Peng; Szleifer, Igal
  • Macromolecules, Vol. 40, Issue 24, p. 8756-8764
  • DOI: 10.1021/ma0710176

Polymer Brushes
journal, February 1991


Diffusioosmotic flow in rectangular microchannels: General
journal, February 2016

  • Hoshyargar, Vahid; Nezameddin Ashrafizadeh, Seyed; Sadeghi, Arman
  • ELECTROPHORESIS, Vol. 37, Issue 5-6
  • DOI: 10.1002/elps.201500370

Bioinspired Ionic Diodes: From Unipolar to Bipolar
journal, May 2018

  • Huang, Xiaodong; Kong, Xiang-Yu; Wen, Liping
  • Advanced Functional Materials, Vol. 28, Issue 49
  • DOI: 10.1002/adfm.201801079

Osmotic and diffusio-osmotic flow generation at high solute concentration. I. Mechanical approaches
journal, May 2017

  • Marbach, Sophie; Yoshida, Hiroaki; Bocquet, Lydéric
  • The Journal of Chemical Physics, Vol. 146, Issue 19
  • DOI: 10.1063/1.4982221

Interfacial Effects on Nanoconfined Diffusive Mass Transport Regimes
journal, June 2012


Instabilities under mechanical tension in a smectic cylinder
journal, January 1976


Neutral and charged polymers at interfaces
journal, June 2003


Supramolecular Self-Assembly Induced Adjustable Multiple Gating States of Nanofluidic Diodes
journal, December 2016

  • Fang, Ruochen; Zhang, Huacheng; Yang, Liulin
  • Journal of the American Chemical Society, Vol. 138, Issue 50
  • DOI: 10.1021/jacs.6b09601

Polymer adsorption on small spheres. A scaling approach
journal, January 1977


A pH-Tunable Nanofluidic Diode with a Broad Range of Rectifying Properties
journal, February 2009

  • Ali, Mubarak; Ramirez, Patricio; Mafé, Salvador
  • ACS Nano, Vol. 3, Issue 3
  • DOI: 10.1021/nn900039f

Streaming potential and electroviscous effects in soft nanochannels beyond Debye–Hückel linearization
journal, May 2015


Manipulation of small particles at solid liquid interface: light driven diffusioosmosis
journal, November 2016

  • Feldmann, David; Maduar, Salim R.; Santer, Mark
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep36443

Ion size effect on electrostatic and electroosmotic properties in soft nanochannels with pH-dependent charge density
journal, January 2018

  • Sin, Jun-Sik; Kim, Un-Hyok
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 35
  • DOI: 10.1039/c8cp04185g

Dynamics of Entangled Polymer Solutions. II. Inclusion of Hydrodynamic Interactions
journal, July 1976


Nanopore sensors for nucleic acid analysis
journal, September 2011


Giant Amplification of Interfacially Driven Transport by Hydrodynamic Slip: Diffusio-Osmosis and Beyond
journal, May 2006


Diagram of the States of a Grafted Polyelectrolyte Layer
journal, August 1994

  • Borisov, O. V.; Zhulina, E. B.; Birshtein, T. M.
  • Macromolecules, Vol. 27, Issue 17
  • DOI: 10.1021/ma00095a021

Mass transport characteristics of diffusioosmosis: Potential applications for liquid phase transportation and separation
journal, January 2017

  • Hoshyargar, Vahid; Ashrafizadeh, Seyed Nezameddin; Sadeghi, Arman
  • Physics of Fluids, Vol. 29, Issue 1
  • DOI: 10.1063/1.4973411

Collapse of grafted polyelectrolyte layer
journal, May 1991

  • Borisov, O. V.; Birshtein, T. M.; Zhulina, E. B.
  • Journal de Physique II, Vol. 1, Issue 5
  • DOI: 10.1051/jp2:1991186

Enhanced electroosmotic flow of Herschel-Bulkley fluid in a channel patterned with periodically arranged slipping surfaces
journal, July 2019

  • Bhattacharyya, Somnath; Bag, Naren
  • Physics of Fluids, Vol. 31, Issue 7
  • DOI: 10.1063/1.5098508

Single Conical Nanopores Displaying pH-Tunable Rectifying Characteristics. Manipulating Ionic Transport With Zwitterionic Polymer Brushes
journal, February 2009

  • Yameen, Basit; Ali, Mubarak; Neumann, Reinhard
  • Journal of the American Chemical Society, Vol. 131, Issue 6
  • DOI: 10.1021/ja8086104

Electroosmotic transport in polyelectrolyte-grafted nanochannels with pH-dependent charge density
journal, May 2015

  • Chen, Guang; Das, Siddhartha
  • Journal of Applied Physics, Vol. 117, Issue 18
  • DOI: 10.1063/1.4919813

A polyelectrolyte brush theory
journal, November 1989

  • Misra, Sanjay; Varanasi, Sasidhar; Varanasi, P. P.
  • Macromolecules, Vol. 22, Issue 11
  • DOI: 10.1021/ma00201a007

Carbohydrate-Mediated Biomolecular Recognition and Gating of Synthetic Ion Channels
journal, August 2013

  • Ali, Mubarak; Nasir, Saima; Ramirez, Patricio
  • The Journal of Physical Chemistry C, Vol. 117, Issue 35
  • DOI: 10.1021/jp4054555

Tunable Donnan Potential and Electrokinetic Flow in a Biomimetic Gated Nanochannel with pH-Regulated Polyelectrolyte Brushes
journal, August 2014

  • Milne, Zachary; Yeh, Li-Hsien; Chou, Tzung-Han
  • The Journal of Physical Chemistry C, Vol. 118, Issue 34
  • DOI: 10.1021/jp504588b

Osmotic and diffusio-osmotic flow generation at high solute concentration. II. Molecular dynamics simulations
journal, May 2017

  • Yoshida, Hiroaki; Marbach, Sophie; Bocquet, Lydéric
  • The Journal of Chemical Physics, Vol. 146, Issue 19
  • DOI: 10.1063/1.4981794

Electrokinetics in nanochannels grafted with poly-zwitterionic brushes
journal, October 2018

  • Chen, Guang; Patwary, Jahin; Sachar, Harnoor Singh
  • Microfluidics and Nanofluidics, Vol. 22, Issue 10
  • DOI: 10.1007/s10404-018-2133-6

Ion/Molecule Transportation in Nanopores and Nanochannels: From Critical Principles to Diverse Functions
journal, May 2019

  • Zhu, Zhongpeng; Wang, Dianyu; Tian, Ye
  • Journal of the American Chemical Society, Vol. 141, Issue 22
  • DOI: 10.1021/jacs.9b00086

Monomer volume fraction profiles in pH responsive planar polyelectrolyte brushes
journal, March 2016

  • Mahalik, J. P.; Yang, Yubo; Deodhar, Chaitra
  • Journal of Polymer Science Part B: Polymer Physics, Vol. 54, Issue 10
  • DOI: 10.1002/polb.24008

Electrokinetic ion and fluid transport in nanopores functionalized by polyelectrolyte brushes
journal, January 2012

  • Yeh, Li-Hsien; Zhang, Mingkan; Hu, Ning
  • Nanoscale, Vol. 4, Issue 16
  • DOI: 10.1039/c2nr31069d

Chemically driven fluid transport in long microchannels
journal, September 2016

  • Shen, Mingren; Ye, Fangfu; Liu, Rui
  • The Journal of Chemical Physics, Vol. 145, Issue 12
  • DOI: 10.1063/1.4963721

Diffusioosmosis of Electrolyte Solutions along a Charged Plane Wall
journal, June 2005


Hydrogen Peroxide Sensing with Horseradish Peroxidase-Modified Polymer Single Conical Nanochannels
journal, March 2011

  • Ali, Mubarak; Tahir, Muhammad Nawaz; Siwy, Zuzanna
  • Analytical Chemistry, Vol. 83, Issue 5
  • DOI: 10.1021/ac102795a

Nanofluidics: what is it and what can we expect from it?
journal, April 2005


Polymer viscosity in concentrated solutions
journal, November 1974

  • Freed, Karl F.; Edwards, S. F.
  • The Journal of Chemical Physics, Vol. 61, Issue 9
  • DOI: 10.1063/1.1682545

Field effect regulation of Donnan potential and electrokinetic flow in a functionalized soft nanochannel
journal, January 2013

  • Benson, Laura; Yeh, Li-Hsien; Chou, Tzung-Han
  • Soft Matter, Vol. 9, Issue 41
  • DOI: 10.1039/c3sm51981c

Analytical Self-Consistent-Field Model of Weak Polyacid Brushes
journal, May 1995

  • Lyatskaya, Yu. V.; Leermakers, F. A. M.; Fleer, G. J.
  • Macromolecules, Vol. 28, Issue 10
  • DOI: 10.1021/ma00114a009

Diffusioosmotic flows in slit nanochannels
journal, November 2007

  • Qian, Shizhi; Das, Biswajit; Luo, Xiaobing
  • Journal of Colloid and Interface Science, Vol. 315, Issue 2
  • DOI: 10.1016/j.jcis.2007.06.075

Colloid stabilization with grafted polyelectrolytes
journal, May 1991


Principles and applications of nanofluidic transport
journal, November 2009

  • Sparreboom, W.; van den Berg, A.; Eijkel, J. C. T.
  • Nature Nanotechnology, Vol. 4, Issue 11
  • DOI: 10.1038/nnano.2009.332

Diffusiophoresis of charged particles and diffusioosmosis of electrolyte solutions
journal, August 2016


Diffusioosmosis of Electrolyte Solutions in a Fine Capillary Tube
journal, February 2007


Nanoscale Dynamics versus Surface Interactions: What Dictates Osmotic Transport?
journal, January 2017

  • Lee, C.; Cottin-Bizonne, C.; Fulcrand, R.
  • The Journal of Physical Chemistry Letters, Vol. 8, Issue 2
  • DOI: 10.1021/acs.jpclett.6b02753

Pioneering medical advances through nanofluidic implantable technologies: Nanofluidic implantable technologies
journal, March 2017

  • Hood, R. Lyle; Hood, Gold Darr; Ferrari, Mauro
  • Wiley Interdisciplinary Reviews: Nanomedicine and Nanobiotechnology, Vol. 9, Issue 5
  • DOI: 10.1002/wnan.1455

Induced-Charge Enhancement of the Diffusion Potential in Membranes with Polarizable Nanopores
journal, November 2017


Electroosmotic flow and ionic conductance in a pH-regulated rectangular nanochannel
journal, June 2017

  • Sadeghi, Morteza; Saidi, Mohammad Hassan; Sadeghi, Arman
  • Physics of Fluids, Vol. 29, Issue 6
  • DOI: 10.1063/1.4986075

Transient alternating current electroosmotic flow of a Jeffrey fluid through a polyelectrolyte-grafted nanochannel
journal, January 2017

  • Li, Fengqin; Jian, Yongjun; Xie, Zhiyong
  • RSC Advances, Vol. 7, Issue 2
  • DOI: 10.1039/c6ra24930b

Electroosmotic Flow in Mixed Polymer Brush-Grafted Nanochannels
journal, December 2016


Thermoplastic nanofluidic devices for biomedical applications
journal, January 2017

  • Weerakoon-Ratnayake, Kumuditha M.; O'Neil, Colleen E.; Uba, Franklin I.
  • Lab on a Chip, Vol. 17, Issue 3
  • DOI: 10.1039/c6lc01173j

Efficient electrochemomechanical energy conversion in nanochannels grafted with polyelectrolyte layers with pH-dependent charge density
journal, January 2016

  • Patwary, Jahin; Chen, Guang; Das, Siddhartha
  • Microfluidics and Nanofluidics, Vol. 20, Issue 2
  • DOI: 10.1007/s10404-015-1695-9

Ionic current in nanochannels grafted with pH‐responsive polyelectrolyte brushes modeled using augmented strong stretching theory
journal, April 2020

  • Sachar, Harnoor Singh; Sivasankar, Vishal Sankar; Etha, Sai Ankit
  • ELECTROPHORESIS, Vol. 41, Issue 7-8
  • DOI: 10.1002/elps.201900248

Polymer brushes here, there, and everywhere: Recent advances in their practical applications and emerging opportunities in multiple research fields
journal, May 2012

  • Azzaroni, Omar
  • Journal of Polymer Science Part A: Polymer Chemistry, Vol. 50, Issue 16
  • DOI: 10.1002/pola.26119

Electrokinetic energy conversion efficiency of viscoelastic fluids in a polyelectrolyte-grafted nanochannel
journal, August 2017


Screening Effects in a Polyelectrolyte Brush:  Self-Consistent-Field Theory
journal, June 2000

  • Zhulina, E. B.; Klein Wolterink, J.; Borisov, O. V.
  • Macromolecules, Vol. 33, Issue 13
  • DOI: 10.1021/ma990187i

A Bio-inspired Potassium and pH Responsive Double-gated Nanochannel
journal, December 2014

  • Liu, Meiying; Zhang, Huacheng; Li, Kan
  • Advanced Functional Materials, Vol. 25, Issue 3
  • DOI: 10.1002/adfm.201401655

Diffusioosmosis of electrolyte solutions in fine capillaries
journal, February 2004

  • Keh, Huan J.; Ma, Hsien Chen
  • Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 233, Issue 1-3
  • DOI: 10.1016/j.colsurfa.2003.11.014

Diffusioosmosis of Electrolyte Solutions around a Circular Cylinder at Arbitrary Zeta Potential and Double-Layer Thickness
journal, March 2009

  • Hsu, Li Y.; Keh, Huan J.
  • Industrial & Engineering Chemistry Research, Vol. 48, Issue 5
  • DOI: 10.1021/ie800428p

Anomalous Shrinking–Swelling of Nanoconfined End-Charged Polyelectrolyte Brushes: Interplay of Confinement and Electrostatic Effects
journal, June 2016


Diffusioosmosis of electrolyte solutions in fibrous porous media
journal, December 2007


Charged Polymeric Brushes: Structure and Scaling Relations
journal, June 1994

  • Israels, R.; Leermakers, F. A. M.; Fleer, G. J.
  • Macromolecules, Vol. 27, Issue 12
  • DOI: 10.1021/ma00090a018

Ionic strength dependence of polyelectrolyte brush thickness
journal, January 2012

  • Zhulina, Ekaterina B.; Rubinstein, Michael
  • Soft Matter, Vol. 8, Issue 36
  • DOI: 10.1039/c2sm25863c

Diffusioosmosis of electrolyte solutions in a fine capillary slit
journal, June 2006


Ionic Current Rectification in a pH-Tunable Polyelectrolyte Brushes Functionalized Conical Nanopore: Effect of Salt Gradient
journal, December 2015


Simulation Studies on the Dynamics of Polymers at Interfaces
journal, August 1996


Massively Enhanced Electroosmotic Transport in Nanochannels Grafted with End-Charged Polyelectrolyte Brushes
journal, March 2017


Smart Bioinspired Nanochannels and their Applications in Energy-Conversion Systems
journal, August 2017


On the origin of membrane potential in membranes with polarizable nanopores
journal, March 2018


The polyelectrolyte brush: poor solvent
journal, April 1992


Membrane Transport Characteristics of Ultrafine Capillaries
journal, July 1968

  • Gross, R. J.; Osterle, J. F.
  • The Journal of Chemical Physics, Vol. 49, Issue 1
  • DOI: 10.1063/1.1669814

Two-dimensional nanofluidics
journal, March 2016


Interface Design of Nanochannels for Energy Utilization
journal, January 2018


Alternating current electroosmotic flow in polyelectrolyte-grafted nanochannel
journal, November 2016


Self-consistent field theory of polyelectrolyte brushes with finite chain extensibility
journal, June 2017

  • Lebedeva, Inna O.; Zhulina, Ekaterina B.; Borisov, Oleg V.
  • The Journal of Chemical Physics, Vol. 146, Issue 21
  • DOI: 10.1063/1.4984101

Ionic Diffusoosmosis in Nanochannels Grafted with End-Charged Polyelectrolyte Brushes
journal, July 2018

  • Maheedhara, Raja Sampath; Sachar, Harnoor Singh; Jing, Haoyuan
  • The Journal of Physical Chemistry B, Vol. 122, Issue 29
  • DOI: 10.1021/acs.jpcb.8b04827

Diffusioosmosis of electrolyte solutions in a capillary slit with adsorbed polyelectrolyte layers
journal, September 2007


A Parabolic Density Profile for Grafted Polymers
journal, March 1988


Gated ion transport in a soft nanochannel with biomimetic polyelectrolyte brush layers
journal, June 2016


Convective flow reversal in self-powered enzyme micropumps
journal, February 2016

  • Ortiz-Rivera, Isamar; Shum, Henry; Agrawal, Arjun
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 10
  • DOI: 10.1073/pnas.1517908113

Structure and interaction of weakly charged polyelectrolyte brushes: Self-consistent field theory
journal, October 1997

  • Zhulina, E. B.; Borisov, O. V.
  • The Journal of Chemical Physics, Vol. 107, Issue 15
  • DOI: 10.1063/1.474320

Highly enhanced liquid flows via thermoosmotic effects in soft and charged nanochannels
journal, January 2018

  • Maheedhara, Raja Sampath; Jing, Haoyuan; Sachar, Harnoor Singh
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 37
  • DOI: 10.1039/c8cp04089c

Theory of Ionizable Polymer Brushes
journal, September 1995

  • Zhulina, E. B.; Birshtein, T. M.; Borisov, O. V.
  • Macromolecules, Vol. 28, Issue 5
  • DOI: 10.1021/ma00109a021

Non-Negligible Diffusio-Osmosis Inside an Ion Concentration Polarization Layer
journal, June 2016


Polyelectrolyte brushes: theory, modelling, synthesis and applications
journal, January 2015

  • Das, Siddhartha; Banik, Meneka; Chen, Guang
  • Soft Matter, Vol. 11, Issue 44
  • DOI: 10.1039/c5sm01962a

Controlling pH-Regulated Bionanoparticles Translocation through Nanopores with Polyelectrolyte Brushes
journal, September 2012

  • Yeh, Li-Hsien; Zhang, Mingkan; Joo, Sang W.
  • Analytical Chemistry, Vol. 84, Issue 21
  • DOI: 10.1021/ac302429d

Bioinspired smart asymmetric nanochannel membranes
journal, January 2018

  • Zhang, Zhen; Wen, Liping; Jiang, Lei
  • Chemical Society Reviews, Vol. 47, Issue 2
  • DOI: 10.1039/c7cs00688h

Electroosmotic flow of Phan-Thien–Tanner fluids at high zeta potentials: An exact analytical solution
journal, June 2018

  • Sarma, Rajkumar; Deka, Nabajit; Sarma, Kuldeep
  • Physics of Fluids, Vol. 30, Issue 6
  • DOI: 10.1063/1.5033974

Theory of diffusioosmosis in a charged nanochannel
journal, January 2018

  • Jing, Haoyuan; Das, Siddhartha
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 15
  • DOI: 10.1039/c8cp01091a

Drastic alteration of diffusioosmosis due to steric effects
journal, January 2015

  • Hoshyargar, Vahid; Ashrafizadeh, Seyed Nezameddin; Sadeghi, Arman
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 43
  • DOI: 10.1039/c5cp05327g