A Numerical Study on Electrophoresis of a Soft Particle with Charged Core Coated with Polyelectrolyte Layer
Migration of a core-shell soft particle under the
influence of an external electric field in an electrolyte solution is
studied numerically. The soft particle is coated with a positively
charged polyelectrolyte layer (PEL) and the rigid core is having
a uniform surface charge density. The Darcy-Brinkman extended
Navier-Stokes equations are solved for the motion of the ionized
fluid, the non-linear Nernst-Planck equations for the ion transport and
the Poisson equation for the electric potential. A pressure correction
based iterative algorithm is adopted for numerical computations. The
effects of convection on double layer polarization (DLP) and diffusion
dominated counter ions penetration are investigated for a wide range
of Debye layer thickness, PEL fixed surface charge density, and
permeability of the PEL. Our results show that when the Debye
layer is in order of the particle size, the DLP effect is significant
and produces a reduction in electrophoretic mobility. However, the
double layer polarization effect is negligible for a thin Debye layer
or low permeable cases. The point of zero mobility and the existence
of mobility reversal depending on the electrolyte concentration are
also presented.
[1] JFL. Duval, and F. Gaboriaud, Progress in electrohydrodynamics of soft
microbial particle interphases, Current Opinion in Colloid & Interface
Science, 15(3):184-195,2010. [2] X. Yang, S. Lin, and MR. Wiesner, Influence of natural organic matter on
transport and retention of polymer coated silver nanoparticles in porous
media, Journal of hazardous materials, 264:161-168,2014.
[3] DA. Saville, Electrokinetic properties of fuzzy colloidal particles, Journal
of colloid and interface science, 222(1):137-145,2000.
[4] X. Yang, S. Lin, and MR. Wiesner, Electrosprayed core-shell
nanoparticles of PVP and shellac for furnishing biphasic
controlled release of ferulic acid, Colloid and Polymer Science,
292(9):2089-2096,2014.
[5] H. Ohshima, Modified Henry function for the electrophoretic mobility of
a charged spherical colloidal particle covered with an ion-penetrable
uncharged polymer layer, Journal of Colloid and Interface Science,
252(1):119-125,2002.
[6] H. Ohshima, Electrophoresis of soft particles: Analytic approximations,
Electrophoresis, 27(3):526-533,2006.
[7] H. Ohshima, Electrokinetic phenomena of soft particles, Current Opinion
in Colloid & Interface Science, 18(2):73-82,2013.
[8] J. L´opez-Voita, S. Mandal, A.V. Delgado, J.L. Toca-Herrera, M. M¨oller,
F. Zanuttin, M. Balestrino and S. Krol, Electrophoretic characterization of
gold nanoparticles functionalized with human serum albumin (HSA) and
creatine, Journal of Colloid and Interface Science, 332(1):215-223,2009.
[9] JFL. Duval, and H. Ohshima Electrophoresis of diffuse soft particles,
Langmuir, 22(8):3533-3546,2006.
[10] PP. Gopmandal, S. Bhattacharyya, and H. Ohshima Effect of core charge
density on the electrophoresis of a soft particle coated with polyelectrolyte
layer, Colloid and Polymer Science, 294(4):727-733,2016.
[11] RJ. Hill and DA. Saville, Exactsolutions of the full electrokinetic model
for soft spherical colloids: Electrophoretic mobility, Colloids and Surfaces
A: Physicochemical and Engineering Aspects, 267(1):31-49,2005.
[12] RJ. Hill, DA. Saville, and WB. Russel, Electrophoresis of spherical
polymer-coated colloidal particles, Journal of Colloid and Interface
Science, 258(1):56-74,2003.
[13] JJ. L´opez-Garcıa, C. Grosse, and J. Horno, Numerical study of colloidal
suspensions of soft spherical particles using the network method: 1.
DC electrophoretic mobility, Journal of colloid and interface science,
265(2):327-340,2003.
[14] C. Cametti, Dielectric properties of soft-particles in aqueous solutions,
Soft Matter, 7(12):5494-5506,2011.
[15] JP. Hsu, ZS. Chen, and S. Tseng, Effect of electroosmotic flow
on the electrophoresis of a membrane-coated sphere along the
axis of a cylindrical pore, The Journal of Physical Chemistry B,
113(21):7701-7708,2009.
[16] S. Tseng, JP. Hsu, HM. Lo, and LH. Yeh, Electrophoresis of a Soft
Particle within a Cylindrical Pore: Polarization Effect with the Nonlinear
Poisson- Boltzmann Equation, The Journal of Physical Chemistry B,
114(31):10114-10125,2010.
[17] X. Zhang, JP. Hsu, ZS. Chen, LH. Hsien, MH. Ku and S. Tseng,
Electrophoresis of a charge-regulated soft sphere in a charged cylindrical
pore, The Journal of Physical Chemistry B, 114(4):1621-1631,2010.
[18] KL. Liu, JP. Hsu, and S. Tseng Influence of membrane layer properties
on the electrophoretic behavior of a soft particle, Electrophoresis,
32(21):3053-3061,2011.
[19] LH. Yeh, KY. Feng, JP. Hsu and S. Tseng, Influence of boundary on the
effect of double-layer polarization and the electrophoretic behavior of soft
biocolloids, Colloids and Surfaces B: Biointerfaces, 88(2):559-567,2011.
[20] CH. Chou, JP. Hsu, CC. Kuo, H. Ohshima, S. Tseng, and RM. Wu,
Importance of the porous structure of a soft particle on its electrophoretic
behavior, Colloids and Surfaces B: Biointerfaces, 93(41):154-160,2012.
[21] S. Tseng, JP. Hsu, HM. Lo, and LH. Yeh, Electrophoresis of a soft
sphere in a necked cylindrical nanopore, Physical Chemistry Chemical
Physics, 15(28):11758-11765,2013.
[22] AC. Barbati, and BJ. Kirby, Soft diffuse interfaces in
electrokinetics–theory and experiment for transport in charged diffuse
layers, Soft Matter, 8(41):10598-10613,2012.
[23] S. Raafatnia, O. Hickey, and C. Holm Mobility reversal of
polyelectrolyte-grafted colloids in monovalent salt solutions, Physical
review letters, 113(24):238301,2014.
[24] S. Bhattacharyya, and S. De Influence of rigid core permittivity and
double layer polarization on the electrophoresis of a soft particle: A
numerical study, Physics of Fluids (1994-present), 28(1):012001,2016.
[25] S. De, S. Bhattacharyya, and PP. Gopmandal Importance of core
electrostatic properties on the electrophoresis of a soft particle, Physical
Review E (1994-present), 94(2):022611,2016.
[26] M. Moussa, C. Caillet, R. M. Town, and JFL. Duval, Remarkable
electrokinetic features of charge-stratified soft nanoparticles:
Mobility reversal in monovalent aqueous electrolyte, Langmuir,
31(20):5656-5666,2015.
[1] JFL. Duval, and F. Gaboriaud, Progress in electrohydrodynamics of soft
microbial particle interphases, Current Opinion in Colloid & Interface
Science, 15(3):184-195,2010. [2] X. Yang, S. Lin, and MR. Wiesner, Influence of natural organic matter on
transport and retention of polymer coated silver nanoparticles in porous
media, Journal of hazardous materials, 264:161-168,2014.
[3] DA. Saville, Electrokinetic properties of fuzzy colloidal particles, Journal
of colloid and interface science, 222(1):137-145,2000.
[4] X. Yang, S. Lin, and MR. Wiesner, Electrosprayed core-shell
nanoparticles of PVP and shellac for furnishing biphasic
controlled release of ferulic acid, Colloid and Polymer Science,
292(9):2089-2096,2014.
[5] H. Ohshima, Modified Henry function for the electrophoretic mobility of
a charged spherical colloidal particle covered with an ion-penetrable
uncharged polymer layer, Journal of Colloid and Interface Science,
252(1):119-125,2002.
[6] H. Ohshima, Electrophoresis of soft particles: Analytic approximations,
Electrophoresis, 27(3):526-533,2006.
[7] H. Ohshima, Electrokinetic phenomena of soft particles, Current Opinion
in Colloid & Interface Science, 18(2):73-82,2013.
[8] J. L´opez-Voita, S. Mandal, A.V. Delgado, J.L. Toca-Herrera, M. M¨oller,
F. Zanuttin, M. Balestrino and S. Krol, Electrophoretic characterization of
gold nanoparticles functionalized with human serum albumin (HSA) and
creatine, Journal of Colloid and Interface Science, 332(1):215-223,2009.
[9] JFL. Duval, and H. Ohshima Electrophoresis of diffuse soft particles,
Langmuir, 22(8):3533-3546,2006.
[10] PP. Gopmandal, S. Bhattacharyya, and H. Ohshima Effect of core charge
density on the electrophoresis of a soft particle coated with polyelectrolyte
layer, Colloid and Polymer Science, 294(4):727-733,2016.
[11] RJ. Hill and DA. Saville, Exactsolutions of the full electrokinetic model
for soft spherical colloids: Electrophoretic mobility, Colloids and Surfaces
A: Physicochemical and Engineering Aspects, 267(1):31-49,2005.
[12] RJ. Hill, DA. Saville, and WB. Russel, Electrophoresis of spherical
polymer-coated colloidal particles, Journal of Colloid and Interface
Science, 258(1):56-74,2003.
[13] JJ. L´opez-Garcıa, C. Grosse, and J. Horno, Numerical study of colloidal
suspensions of soft spherical particles using the network method: 1.
DC electrophoretic mobility, Journal of colloid and interface science,
265(2):327-340,2003.
[14] C. Cametti, Dielectric properties of soft-particles in aqueous solutions,
Soft Matter, 7(12):5494-5506,2011.
[15] JP. Hsu, ZS. Chen, and S. Tseng, Effect of electroosmotic flow
on the electrophoresis of a membrane-coated sphere along the
axis of a cylindrical pore, The Journal of Physical Chemistry B,
113(21):7701-7708,2009.
[16] S. Tseng, JP. Hsu, HM. Lo, and LH. Yeh, Electrophoresis of a Soft
Particle within a Cylindrical Pore: Polarization Effect with the Nonlinear
Poisson- Boltzmann Equation, The Journal of Physical Chemistry B,
114(31):10114-10125,2010.
[17] X. Zhang, JP. Hsu, ZS. Chen, LH. Hsien, MH. Ku and S. Tseng,
Electrophoresis of a charge-regulated soft sphere in a charged cylindrical
pore, The Journal of Physical Chemistry B, 114(4):1621-1631,2010.
[18] KL. Liu, JP. Hsu, and S. Tseng Influence of membrane layer properties
on the electrophoretic behavior of a soft particle, Electrophoresis,
32(21):3053-3061,2011.
[19] LH. Yeh, KY. Feng, JP. Hsu and S. Tseng, Influence of boundary on the
effect of double-layer polarization and the electrophoretic behavior of soft
biocolloids, Colloids and Surfaces B: Biointerfaces, 88(2):559-567,2011.
[20] CH. Chou, JP. Hsu, CC. Kuo, H. Ohshima, S. Tseng, and RM. Wu,
Importance of the porous structure of a soft particle on its electrophoretic
behavior, Colloids and Surfaces B: Biointerfaces, 93(41):154-160,2012.
[21] S. Tseng, JP. Hsu, HM. Lo, and LH. Yeh, Electrophoresis of a soft
sphere in a necked cylindrical nanopore, Physical Chemistry Chemical
Physics, 15(28):11758-11765,2013.
[22] AC. Barbati, and BJ. Kirby, Soft diffuse interfaces in
electrokinetics–theory and experiment for transport in charged diffuse
layers, Soft Matter, 8(41):10598-10613,2012.
[23] S. Raafatnia, O. Hickey, and C. Holm Mobility reversal of
polyelectrolyte-grafted colloids in monovalent salt solutions, Physical
review letters, 113(24):238301,2014.
[24] S. Bhattacharyya, and S. De Influence of rigid core permittivity and
double layer polarization on the electrophoresis of a soft particle: A
numerical study, Physics of Fluids (1994-present), 28(1):012001,2016.
[25] S. De, S. Bhattacharyya, and PP. Gopmandal Importance of core
electrostatic properties on the electrophoresis of a soft particle, Physical
Review E (1994-present), 94(2):022611,2016.
[26] M. Moussa, C. Caillet, R. M. Town, and JFL. Duval, Remarkable
electrokinetic features of charge-stratified soft nanoparticles:
Mobility reversal in monovalent aqueous electrolyte, Langmuir,
31(20):5656-5666,2015.
@article{"International Journal of Chemical, Materials and Biomolecular Sciences:75005", author = "Partha Sarathi Majee and S. Bhattacharyya", title = "A Numerical Study on Electrophoresis of a Soft Particle with Charged Core Coated with Polyelectrolyte Layer", abstract = "Migration of a core-shell soft particle under the
influence of an external electric field in an electrolyte solution is
studied numerically. The soft particle is coated with a positively
charged polyelectrolyte layer (PEL) and the rigid core is having
a uniform surface charge density. The Darcy-Brinkman extended
Navier-Stokes equations are solved for the motion of the ionized
fluid, the non-linear Nernst-Planck equations for the ion transport and
the Poisson equation for the electric potential. A pressure correction
based iterative algorithm is adopted for numerical computations. The
effects of convection on double layer polarization (DLP) and diffusion
dominated counter ions penetration are investigated for a wide range
of Debye layer thickness, PEL fixed surface charge density, and
permeability of the PEL. Our results show that when the Debye
layer is in order of the particle size, the DLP effect is significant
and produces a reduction in electrophoretic mobility. However, the
double layer polarization effect is negligible for a thin Debye layer
or low permeable cases. The point of zero mobility and the existence
of mobility reversal depending on the electrolyte concentration are
also presented.", keywords = "Debye length, double layer polarization,
electrophoresis, mobility reversal, soft particle.", volume = "11", number = "2", pages = "189-7", }
