ELECTROHYDRODYNAMICS: The Taylor-Melcher Leaky Dielectric Model

Saville, D. A.

doi:10.1146/annurev.fluid.29.1.27

Cited by 1,225 publications

(952 citation statements)

References 58 publications

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“…In effect, the relative difference in ion number densities for a 1:1 electrolyte is given by (c + -c -)/(c + + c -) ) ∇ · εE/ e(c + + c -) and is very small for saline solutions on the micrometer length scale for typical applied electric fields. 34,35 Crowding of ions due to their finite size 36,37 and Faradaic currents through the interface might have the effect of limiting the voltage drop across the EDL. However, forces in the bulk due to the induced charge should become more important as the applied voltage increases.…”

Section: Discussionmentioning

confidence: 99%

Traveling-Wave Electrokinetic Micropumps: Velocity, Electrical Current, and Impedance Measurements

et al. 2008

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An array of microelectrodes covered in an electrolyte and energized by a traveling-wave potential produces net movement of the fluid. Arrays of platinum microelectrodes of two different characteristic sizes have been studied. For both sizes of arrays, at low voltages (<2 V pp ) the electrolyte flow is in qualitative agreement with the linear theory of ac electroosmosis. At voltages above a threshold, the direction of fluid flow is reversed. The electrical impedance of the electrode-electrolyte system was measured after the experiments, and changes in the electrical properties of the electrolyte were observed. Measurements of the electrical current during pumping of the electrolyte are also reported. Transient behaviors in both electrical current and fluid velocity were observed. The Faradaic currents probably generate conductivity gradients in the liquid bulk, which in turn give rise to electrical forces. These effects are discussed in relation to the fluid flow observations.

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Section: Discussionmentioning

confidence: 99%

Traveling-Wave Electrokinetic Micropumps: Velocity, Electrical Current, and Impedance Measurements

et al. 2008

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“…As the electroosmotic flow of the aqueous electrolyte solutions is an incompressible laminar flow, the flow field can be calculated by Navier-Stokes equation and the continuity equation as follows [16]:…”

Section: Flow Fieldmentioning

confidence: 99%

Effects of ionic concentration gradient on electroosmotic flow mixing in a microchannel

Peng

2015

Journal of Colloid and Interface Science

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Effects of ionic concentration gradient on electroosmotic flow (EOF) mixing of one stream of a high concentration electrolyte solution with a stream of a low concentration electrolyte solution in a micrichannel are investigated numerically. The concentration field, flow field and electric field are strongly coupled via concentration dependent zeta potential, dielectric constant and electric conductivity. The results show that the electric field and the flow velocity are nonuniform when the concentration dependence of these parameters is taken into consideration. It is also found that when the ionic concentration of the electrolyte solution is higher than 1M, the electrolyte solution essentially cannot enter the channel due to the extremely low electroosmotic flow mobility. The effects of the concentration dependence of zeta potential, dielectric constant and electric conductivity on electroosmotic flow mixing are studied.

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“…Here E in and E it are the components of the electric field Ei normal to the surface (pointing away from the liquid) and tangent to it. The presence of an electric field and free electric charge at the surface of the liquid leads to electric stresses on the surface, whose components normal and tangent to the surface are (Landau & Lifshitz 1960;Saville 1997) < = y(4-4) + y(«-l)4 and r t e = aE lt .…”

Section: Formulationmentioning

confidence: 99%

Electric current of an electrified jet issuing from a long metallic tube

Higuera

2011

J. Fluid Mech.

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This paper presents an analysis of the transport of electric current in a jet of an electrically conducting liquid discharging from a metallic tube into a gas or a vacuum, and subject to an electric field due to a high voltage applied between the tube and a far electrode. The flow, the surface charge and the electric field are computed in the current transfer region of the jet, where conduction current in the liquid becomes surface current due to the convection of electric charge accumulated at its surface. The electric current computed as a function of the flow rate of the liquid injected through the tube increases first as the square root of this flow rate, levels to a nearly constant value when the flow rate is increased and finally sets to a linear increase when the flow rate is further increased. The current increases linearly with the applied voltage at small and moderate values of this variable, and faster than linearly at high voltages. The characteristic length and structure of the current transfer region are determined. Order-of-magnitude estimates for jets which are only weakly stretched by the electric stresses are worked out that qualitatively account for some of the numerical results.

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ELECTROHYDRODYNAMICS: The Taylor-Melcher Leaky Dielectric Model

Cited by 1,225 publications

References 58 publications

Traveling-Wave Electrokinetic Micropumps: Velocity, Electrical Current, and Impedance Measurements

Traveling-Wave Electrokinetic Micropumps: Velocity, Electrical Current, and Impedance Measurements

Effects of ionic concentration gradient on electroosmotic flow mixing in a microchannel

Electric current of an electrified jet issuing from a long metallic tube

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