Electrophoresis of a toroid along the axis of a cylindrical pore

Hsu, Jyh‐Ping; Kuo, Chung‐Wen; Ku, Ming-Hong

doi:10.1002/elps.200500922

Cited by 15 publications

(11 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A toroid with b/a = 1 has a faster rate of increase in D * as (h/a) decreases than a toroid with b/a.1 because the former does not have a hole at its centre to let the drag force reduced. Similar behavior is also observed in the electrophoresis of a toroid along the axis of a cylindrical pore [39]. Figure 3 shows the influences of parameters…”

Section: Resultssupporting

confidence: 70%

See 1 more Smart Citation

Electrophoresis of a charge‐regulated toroid normal to a large disk

Hsu

Kuo

2008

Electrophoresis

Self Cite

View full text Add to dashboard Cite

The electrophoresis of a charge-regulated toroid (doughnut-shaped entity) normal to a large disk is investigated under the conditions of low surface potential and weak applied electric field. The system considered is capable of modeling the electrophoretic behavior of various types of biocolloids such as bacterial DNA, plasmid DNA, and anabaenopsis near a perfectly conducting planar wall. The influences of the size of the toroid, the separation distance between the toroid and the disk, the charged conditions on the surfaces of the toroid and the disk, and the thickness of electric double layer on the electrophoretic mobility of the toroid are discussed. The results of numerical simulation reveal that under typical conditions the electrophoretic behavior of the toroid can be different from that of an integrated entity. For instance, if the surface of the toroid carries both acidic and basic functional groups, its mobility may have a local maximum as the thickness of double layer varies. We show that the electrophoretic behavior of the toroid is different, both qualitatively and quantitatively, from that of the corresponding integrated particle (particle without hole).

show abstract

Section: Resultssupporting

confidence: 70%

“…The solution procedure can be summarized as following [31,39]: (i) Solve the first sub-problem where C 1 = 0 and C 2 = 0 and the electric body force rrC in Eq. (22) vanishes.…”

mentioning

confidence: 99%

Electrophoresis of a charge‐regulated toroid normal to a large disk

Hsu

Kuo

2008

Electrophoresis

Self Cite

View full text Add to dashboard Cite

show abstract

“…The boundary effect on electrophoresis has been studied by many researchers by considering various types of geometries such as a sphere in a spherical cavity − or normal to a plane, − and a sphere, ,,− a cylinder, − an ellipsoid, a toroid, or two spheres in a cylindrical pore. Liu et al considered the electrophoresis of a cylindrical particle in a long cylindrical pore.…”

Section: Introductionmentioning

confidence: 99%

Electrophoresis of a Membrane-Coated Cylindrical Particle Positioned Eccentrically along the Axis of a Narrow Cylindrical Pore

2010

Self Cite

View full text Add to dashboard Cite

Although theoretical analyses on electrophoresis are ample in the literature, most of them focused on the one-or two-dimensional problems for a simpler treatment; available results for the three-dimensional case, which may be closer to reality, are extremely limited. The electrophoresis of a soft, finite cylindrical particle positioned eccentrically along the axis of a narrow cylindrical pore is modeled in this study. The type of particle considered is capable of mimicking a wide class of nonrigid entities such as biocolloids and particles covered by an artificial polymer layer in practice. The electrophoretic behaviors of the particle under various conditions are simulated. We show that if the membrane layer of a particle is charged, then its electrophoretic behavior depends largely on its aspect ratio, eccentricity, and relative size, the thickness of double layer, and the thickness of the membrane layer, which might not be the case if that layer is uncharged. In addition, the electrophoretic mobility of a particle in the former may not increase with increasing thickness of the membrane layer, which has not been reported previously. The results gathered provide the theoretical basis for both the design of an electrophoresis apparatus and the interpretation of experimental data.

show abstract

“…(22) is general in the sense that no limitations are imposed on the size of the EDL at the pore boundaries S W or around the particle S and thus the present methodology may also be used for the case of fully overlapped double layers. The dipolophoretic (translation and rotation) velocity components of an arbitrary colloid, can be uniquely determined in terms of the various mobility tensors appearing in the left hand side of (22), provided that the relevant parameters of both the "pure" electro-…”

Section: The Dipolophoretic Problemmentioning

confidence: 99%

“…The DEP term in (22), represented by the last term in the right hand side of (19) and (20), is expressed as a surface integral of the relevant Maxwell stresses M (E) i j and M ij over S w . We recall that M (E) i j is defined in (17) with ϕ replaced by ϕ (E) and can also be expressed as in (9a) in terms of a corresponding charge distribution q (E) and harmonic function χ (E) .…”

Section: The Dipolophoretic Problemmentioning

confidence: 99%

Travelling wave dipolophoresis of ideally polarizable nano-particles with overlapping electric double layers in cylindrical pores

Miloh

Boymelgreen

2014

Physics of Fluids

View full text Add to dashboard Cite

Regimes of streaming potential in cylindrical nano-pores in presence of finite sized ions and charge induced thickening: An analytical approach T. Miloh and A. Boymelgreen Phys. Fluids 26, 072101 (2014) case, the Helmholtz-Smoluchowski (HS) slip-velocity may be implemented as a boundary condition in the Stokes equation, effectively bypassing the need to consider the electrostatic (Coulomb) forces in the momentum equation, thus considerably simplifying the analysis. However, if the particle radius or channel width is of the same order as the EDL (nano-size), this approximation ceases to be valid and it becomes necessary to resolve the EDL as well as any remaining bulk solute according to the full Poisson-Nernst-Planck (PNP) formulation together with the inhomogeneous Stokes equation, incorporating the Coulombic force density. Further complication arises if the suspended particles are conducting or polarizable, in which case the applied field will "induce" polarization within each particle, which is then shielded by a corresponding electric double layer. 14-17 In a confined system, this double layer formed around the colloid can interact with the EDL at the channel wall, resulting in a highly nonlinear problem. It is emphasized here that in contrast to the more well-known "linear" electroosmotic effect, the "induced-charge" effect is dependent only on the polarizability of the particle or wall and not on its native charge. Thus, in order to focus on the induced contribution, bounding surfaces are generally considered initially uncharged. In fact, it is well known that under the application of AC fields, the linear effects average to zero over a single cycle, while for the case of DC or biased AC forcing, it is possible -at least to first-order -to superimpose the linear and nonlinear solutions.Our ambitious goal in the present study is to develop a general framework for evaluating the phoretic motion (translation and rotation), induced by an arbitrary externally applied electric field, on polarizable (uncharged) nano particles, freely suspended in a nano-channel with conducting walls and filled with an electrolyte. It is important to note that no restrictions are imposed on the geometrical shape of the particle or the enclosing nanopore.The consideration of a conducting wall boundary condition, which results in a background induced electroosmotic flow (EOF) that is nonlinear in the applied field, is the first factor which differentiates this work from the classical approach to other bounded cases, wherein the channel walls are generally considered to be insulating and subject to linear electroosmosis (see, for example, Refs. 5 and 6). Practically, such a boundary condition accounts for geometries in which the active electrodes are embedded in the channel wall. In order to solve this nonlinear ambient electroosmotic flow in a nanochannel, the potential overlap of the EDLs induced at the channel walls must be accounted for in such a way that equilibrium cannot be assumed a priori to occur away (e.g., along the ch...

show abstract

Electrophoresis of a toroid along the axis of a cylindrical pore

Cited by 15 publications

References 25 publications

Electrophoresis of a charge‐regulated toroid normal to a large disk

Electrophoresis of a charge‐regulated toroid normal to a large disk

Electrophoresis of a Membrane-Coated Cylindrical Particle Positioned Eccentrically along the Axis of a Narrow Cylindrical Pore

Travelling wave dipolophoresis of ideally polarizable nano-particles with overlapping electric double layers in cylindrical pores

Contact Info

Product

Resources

About