Applications of self-adjoint operators to electrophoretic transport, enzyme reactions, and microwave heating problems in composite media—II. Electrophoretic transport in layered membranes

Locke, Bruce R.; Arce, Pedro; Park, Young

doi:10.1016/0009-2509(93)80379-5

Cited by 15 publications

(5 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This assumption would allow a decoupling of the electric field, described by the solution of the Laplace equation, from the species continuity equation for the dilute solute of interest [38,40,41].…”

Section: Mathematical Methodsmentioning

confidence: 99%

See 1 more Smart Citation

The effect of obstacle conductivity and electric field on effective mobility and dispersion in electrophoretic transport: A volume averaging approach

Locke

2002

Electrophoresis

Self Cite

View full text Add to dashboard Cite

The method of volume averaging has been used to determine the effective electrophoretic mobility and dispersion coefficients for molecular transport of point-like solutes in a two-phase porous medium where the electrical conductivity and the diffusion and mobility coefficients may vary in both phases. The formal theory, derived in previous work, is numerically evaluated for cases where the obstacle phase has a large or small conductivity relative to the fluid phase and where the diffusion coefficient of the solute in the obstacle phase can be large or small relative to that in the fluid phase. In agreement with previous Monte Carlo methods, the effective electrophoretic mobility is not a function of media conductivity or electric field when the obstacles are impermeable to solute transport or have small diffusion solute diffusion coefficients. However, the dispersion coefficient is a strong function of electric field and varies with obstacle conductivity when diffusive transport is small in the obstacles relative to the fluid. In contrast, the effective electrophoretic mobility is a function of electric field when conductivity of the obstacles is much larger than the fluid and when the obstacles are very permeable to solute but have low electrical conductivity.

show abstract

Section: Mathematical Methodsmentioning

confidence: 99%

“…In the present case the solute of interest is considered to be in the dilute solution limit, the current carrying ions are assumed to be uniformly distributed [41]. A single solute is thus considered, and therefore all species indices will be dropped in further equations.…”

Section: Volume Averagingmentioning

confidence: 99%

The effect of obstacle conductivity and electric field on effective mobility and dispersion in electrophoretic transport: A volume averaging approach

Locke

2002

Electrophoresis

Self Cite

View full text Add to dashboard Cite

show abstract

“…For a derivation and justification of this type of equation, see, for example, [21] and [22]. One of the assumptions used here is the electroneutrality condition for the solution.…”

Section: Geometrical Characteristics and Assumptionsmentioning

confidence: 99%

Role of Joule heating in dispersive mixing effects in electrophoretic cells: Convective-diffusive transport aspects

Bosse¹,

Arce²

2000

Electrophoresis

Self Cite

View full text Add to dashboard Cite

“…In general, the species continuity equations for all charged species must be considered and would be coupled to the complete Poisson equation; however, for a number of specific applications where the solute of interest is in much lower concentration than the current carrying ions and where electroneutrality (Newman, 1973) can be assumed it would be possible to assume that the electrical field is independent of the solute of interest. This would allow a decoupling of the electrical field, described by the solution of the Laplace equation, from the species continuity equation for the dilute solute of interest (Newman, 1973;Locke and Carbonell, 1989;Locke et al, 1993).…”

Section: General Field Equationsmentioning

confidence: 99%

“…In general, the velocity, the electrical potential, and the species concentration are coupled through the equation of motion (eq 5) with body forces due to the applied electrical field and the Poisson equation, for the electrical potential. In order to illustrate the methodology and to apply the volume-averaging method to cases where the medium is uncharged, the solute of interest is considered to be in the dilute solution limit, the current carrying ions are assumed to be uniformly distributed (Locke et al, 1993), and the electrical field has negligible effects on the hydrodynamics. A single solute is thus considered, and therefore all species indices will be dropped in further equations.…”

Section: Volume-average Modelsmentioning

confidence: 99%

Electrophoretic Transport in Porous Media: A Volume-Averaging Approach

Locke

1998

Ind. Eng. Chem. Res.

Self Cite

View full text Add to dashboard Cite

Volume-averaging methods are applied to develop expressions for the effective electrophoretic mobility and dispersion coefficients in porous media as functions of media structure and electrical field. Case 1 accounts for electrophoretic transport in a two-phase system where both phases may be electrically conductive and the medium is uncharged, and case 2 adds hydrodynamic pressure-driven flow to one of the two phases. The results for case 1 suggest that the electrical field induces dispersion and that the ratio of the dispersion coefficient in the porous medium to free solution diffusivity is not in general equal to the corresponding ratio of electrophoretic mobilities. Calculations for a square unit cell where the fluid is conductive and the obstacles are not conductive show that as the electrical field increases the effective dispersion coefficients increase; however, the effective mobilities are independent of the electrical field. This finding supports recent Monte Carlo studies that suggest the basic assumption of the classical theory of gel electrophoresis is incorrect. The results for case 2 indicate that the electrical field will affect the mean retention time in the column and induce additional dispersion through coupling with the hydrodynamic flow field.

show abstract

Applications of self-adjoint operators to electrophoretic transport, enzyme reactions, and microwave heating problems in composite media—II. Electrophoretic transport in layered membranes

Cited by 15 publications

References 17 publications

The effect of obstacle conductivity and electric field on effective mobility and dispersion in electrophoretic transport: A volume averaging approach

The effect of obstacle conductivity and electric field on effective mobility and dispersion in electrophoretic transport: A volume averaging approach

Role of Joule heating in dispersive mixing effects in electrophoretic cells: Convective-diffusive transport aspects

Electrophoretic Transport in Porous Media: A Volume-Averaging Approach

Contact Info

Product

Resources

About