Solute dispersion by electroosmotic flow through soft microchannels

Abstract We study the hydrodynamic dispersion (HD) by electroosmotic flow in soft microchannels. Considering a fully developed flow in a slit microchannel of low surface potential and adopting the Taylor dispersion theory, we derive analytical solutions for the solute concentration field and the effective dispersion coefficient. We also conduct numerical analyses to broaden the paper’s scope to high surface potentials and to specify a criterion for the validity of the Debye-Huckel linearization in soft microconduits as well as to investigate the broadening of an analyte band from the time of injection. It is demonstrated that the effective dispersion coefficient of a neutral solute band is generally larger for thicker polyelectrolyte layers (PEL). This means that the hydrodynamic dispersion in electroosmotic flow usually increases by grafting a PEL to the surface. It is, however, possible to reduce the HD dispersion by appropriately altering the channel surface. Furthermore, it is found that higher PEL frictions lead to smaller HD. In addition, unlike rigid channels, a smaller HD is not necessarily achieved for a PEL-grafted microchannel by decreasing the surface potential. Finally, anomalies observed in the electrical potential and velocity distributions of soft microchannels are shown to be caused due to the creation of a triple-EDL within and outside the PEL.

[1]  V. Andreev,et al.  On the mathematical model of capillary electrophoresis , 1993 .

[2]  L. Ceriotti,et al.  New adsorbed coatings for capillary electrophoresis , 2000, Electrophoresis.

[3]  H. Ohshima Theory of electrostatics and electrokinetics of soft particles , 2009, Science and technology of advanced materials.

[4]  Mohammad Hassan Saidi,et al.  Rheology effects on cross-stream diffusion in a Y-shaped micromixer , 2014 .

[5]  J. Petersen,et al.  Clinical and Forensic Applications of Capillary Electrophoresis , 2001, Pathology and Laboratory Medicine.

[6]  Liang Dong,et al.  Autonomous microfluidics with stimuli-responsive hydrogels. , 2007, Soft matter.

[7]  Shayandev Sinha,et al.  Streaming potential and electroviscous effects in soft nanochannels: towards designing more efficient nanofluidic electrochemomechanical energy converters. , 2014, Soft matter.

[8]  J. Masliyah,et al.  Broadening of neutral analyte band in electroosmotic flow through slit channel with different zeta potentials of the walls , 2013 .

[9]  Owen A. Hickey,et al.  Influence of Charged Polymer Coatings on Electro-Osmotic Flow: Molecular Dynamics Simulations , 2011 .

[10]  S. Chakraborty,et al.  Electrokinetics in polyelectrolyte grafted nanofluidic channels modulated by the ion partitioning effect. , 2016, Soft matter.

[11]  S. K. Griffiths,et al.  Hydrodynamic Dispersion of a Neutral Nonreacting Solute in Electroosmotic Flow , 1999 .

[12]  J. Leypoldt,et al.  Disparity between Stokes radii of dextrans and proteins as determined by retention volume in gel permeation chromatography. , 1983, Analytical chemistry.

[13]  J. Masliyah,et al.  Electroosmotic dispersion in microchannels with a thin double layer. , 2003, Analytical chemistry.

[14]  H. Stone,et al.  Hydrodynamic dispersion in shallow microchannels: the effect of cross-sectional shape. , 2006, Analytical chemistry.

[15]  Peter C. Y. Chen,et al.  Slanted spiral microfluidics for the ultra-fast, label-free isolation of circulating tumor cells. , 2014, Lab on a chip.

[16]  Dimiter N. Petsev,et al.  An electrokinetic cell model for analysis and optimization of electroosmotic microfluidic pumps , 2006 .

[17]  J. Duval,et al.  Electrokinetics as an alternative to neutron reflectivity for evaluation of segment density distribution in PEO brushes. , 2014, Soft matter.

[18]  J. Masliyah,et al.  Hydrodynamic dispersion due to combined pressure-driven and electroosmotic flow through microchannels with a thin double layer. , 2004, Analytical chemistry.

[19]  Weijia Wen,et al.  Smart electroresponsive droplets in microfluidics , 2012 .

[20]  J. Masliyah,et al.  Broadening of neutral solute band in electroosmotic flow through submicron channel with longitudinal non-uniformity of zeta potential , 2010 .

[21]  K. Vafai Handbook of porous media , 2015 .

[22]  S. Bhattacharjee,et al.  Sherwood number in flow through parallel porous plates (Microchannel) due to pressure and electroosmotic flow , 2012 .

[23]  G. Whitesides,et al.  Generation of monodisperse particles by using microfluidics: control over size, shape, and composition. , 2005, Angewandte Chemie.

[24]  Electroosmotic fluid motion and late-time solute transport for large zeta potentials , 2000, Analytical chemistry.

[25]  S. De,et al.  Combined electroosmotic and pressure driven flow in a microchannel at high zeta potential and overlapping electrical double layer , 2014 .

[26]  H. Keh,et al.  Diffusioosmosis of electrolyte solutions in a capillary slit with surface charge layers , 2005 .

[27]  Jeffrey T. Borenstein,et al.  Biomaterials-based microfluidics for engineered tissue constructs , 2010 .

[28]  K. Sharp,et al.  Calculation of the electrophoretic mobility of a particle bearing bound polyelectrolyte using the nonlinear poisson-boltzmann equation. , 1985, Biophysical journal.

[29]  H. Ohshima Electrical phenomena in a suspension of soft particles , 2012 .

[30]  S. Bhattacharjee,et al.  Electrokinetic and Colloid Transport Phenomena , 2006 .

[31]  R. Aris On the dispersion of a solute in a fluid flowing through a tube , 1956, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[32]  V. Dolnik,et al.  Polymer wall coatings for capillary electrophoresis , 2001, Electrophoresis.

[33]  W. Knoll,et al.  A Perspective and Introduction to Organic and Polymer Ultrathin Films: Deposition, Nanostructuring, Biological Function, and Surface Analytical Methods , 2011 .

[34]  H. Ohshima Electrostatic interaction of soft particles. , 2015, Advances in colloid and interface science.

[35]  H. Keh,et al.  Diffusioosmosis and electroosmosis in a capillary slit with surface charge layers , 2003 .

[36]  A. Voigt,et al.  Streaming current and streaming potential on structured surfaces , 1986 .

[37]  Owen A. Hickey,et al.  Molecular dynamics simulations of optimal dynamic uncharged polymer coatings for quenching electro-osmotic flow. , 2009, Physical review letters.

[38]  T. Kondo,et al.  Electrokinetic flow between two parallel plates with surface charge layers: Electro-osmosis and streaming potential , 1990 .

[39]  H. Keh,et al.  Electrokinetic Flow in a Circular Capillary with a Surface Charge Layer , 1995 .

[40]  H. Keh,et al.  Diffusioosmosis of electrolyte solutions in a capillary slit with adsorbed polyelectrolyte layers. , 2007, Journal of colloid and interface science.

[41]  D. Dutta,et al.  Electroosmotic transport through rectangular channels with small zeta potentials. , 2007, Journal of colloid and interface science.

[42]  RESEARCH ON DIFFUSION IN MICRO-CHANNEL FLOW DRIVEN BY ELECTROOSMOSIS ∗ , 2006 .

[43]  Analytical solutions for species transport in a T‐sensor at low peclet numbers , 2016 .

[44]  Thomas Gervais,et al.  Mass transport and surface reactions in microfluidic systems , 2006 .

[45]  Mohammad Hassan Saidi,et al.  A depthwise averaging solution for cross-stream diffusion in a Y-micromixer by considering thick electrical double layers and nonlinear rheology , 2015 .

[47]  Ralf Zimmermann,et al.  Electrokinetics of soft polymeric interphases with layered distribution of anionic and cationic charges , 2016 .

[48]  C. Montemagno,et al.  Teaching hydrogels how to move like an earthworm. , 2007, Soft matter.

[49]  Shizhi Qian,et al.  Field effect control of electrokinetic transport in micro/nanofluidics , 2012 .

[50]  J. Duval,et al.  Electrophoresis of diffuse soft particles. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[51]  G. Sukhorukov,et al.  Fabrication and mechanical properties of microchambers made of polyelectrolyte multilayers , 2011 .

[52]  Mohammad Hassan Saidi,et al.  Electrokinetic mixing at high zeta potentials: ionic size effects on cross stream diffusion. , 2015, Journal of colloid and interface science.

[53]  Partha P. Gopmandal,et al.  Effects of electroosmosis and counterion penetration on electrophoresis of a positively charged spherical permeable particle , 2013 .

[54]  Y. Chabal,et al.  Nanoscale actuation of electrokinetic flows on thermoreversible surfaces , 2008, Electrophoresis.

[55]  T. Kondo,et al.  Electrophoretic behavior of rat lymphocyte subpopulations , 1991 .

[56]  Arman Sadeghi,et al.  Mass transport characteristics of diffusioosmosis: Potential applications for liquid phase transportation and separation , 2017 .

[57]  G. Taylor Dispersion of soluble matter in solvent flowing slowly through a tube , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[58]  S. Chakraborty,et al.  Streaming potential-modulated capillary filling dynamics of immiscible fluids. , 2016, Soft matter.

[59]  Depthwise averaging approach to cross-stream mixing in a pressure-driven microchannel flow , 2005 .

[60]  G. Karniadakis,et al.  Microflows and Nanoflows: Fundamentals and Simulation , 2001 .

[61]  A. Barbati,et al.  Soft diffuse interfaces in electrokinetics - theory and experiment for transport in charged diffuse layers , 2012 .

[62]  D. Erickson,et al.  Influence of Surface Heterogeneity on Electrokinetically Driven Microfluidic Mixing , 2002 .

[63]  Arman Sadeghi Depletion of cross‐stream diffusion in the presence of viscoelasticity , 2015 .