Linear stability of a two-fluid interface for electrohydrodynamic mixing in a channel

Li, F.; Ozen, Ozgur; Aubry, Nadine; Papageorgiou, Demetrios T.; Petropoulos, Peter G.

doi:10.1017/s0022112007006222

Cited by 84 publications

(104 citation statements)

References 30 publications

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“…Figure 7 shows the distribution of sodalime glass particles on the surface of a silicone oil drop suspended in corn oil. The diameter of the particles is between 1 and 3 mm, thus smaller than the particles used above, and their density is 2.5 g/cm 3 , which makes the particles initially migrate toward, and get trapped at, the bottom surface of the drop. The particles' Clausius-Mossotti factor is positive as all the particles trapped at the interface move toward the drop's equator where the electric field strength is maximal.…”

Section: Case 1: Dielectric Constant Of Drop Smaller Than That Of Thementioning

confidence: 95%

“…An advantage of this technique compared to those using fluid streams lies in its potential for programmable microchips with biochemical reactions occurring within single droplets [1]. Current challenges for increasing the efficiency of such biochemical processes include the controlled production [2,3], transport, splitting, and coalescence of droplets at a certain location and at a given time within the same device [4], mixing, concentrating, and separating particles carried by the droplets, and fluid/particles separation.…”

Section: Introductionmentioning

confidence: 99%

“…The densities of water, silicon oil, decane, and corn oil are 1.00, 0.963, 0.730, and 0.92 g/cm 3 , respectively. Figure 4 shows the deformation of a water drop suspended in decane.…”

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confidence: 99%

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Concentrating particles on drop surfaces using external electric fields

et al. 2008

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We propose to use an externally applied uniform electric field to alter the distribution of particles on the surface of a drop immersed in another immiscible liquid. Specifically, we seek to generate well-defined concentrated regions at the drop surface while leaving the rest of the surface particle free. Experiments show that when the dielectric constant of the drop is greater than that of the ambient liquid the particles for which the Clausius-Mossotti factor is positive move along the drop surface to the two poles of the drop. Particles with a negative Clausius-Mossotti factor, on the other hand, move along the drop surface to form a ring near the drop equator. The opposite takes place when the dielectric constant of the drop is smaller than that of the ambient liquid, namely particles for which the Clausius-Mossotti factor is positive form a ring near the equator while those for which such a factor is negative move to the poles. This motion is due to the dielectrophoretic force that acts upon particles because the electric field on the surface of the drop is nonuniform, despite the uniformity of the applied electric field. Experiments also show that when small particles collect at the poles of a deformed drop the electric field needed to break the drop is smaller than without particles. These phenomena could be useful to concentrate particles at a drop surface within well-defined regions (poles and equator), separate two types of particles at the surface of a drop or increase the drop deformation to accelerate drop breakup.

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Section: Case 1: Dielectric Constant Of Drop Smaller Than That Of Thementioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

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Concentrating particles on drop surfaces using external electric fields

et al. 2008

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“…In the following, the boundary conditions are used to complete the solutions of the above system of the governing equations. These constraints are information about the solutions at the upper and lower boundaries and at the interfaces between the fluids [7]- [10]. On the interface ( )…”

Section: The Basic Flow and Exposition Of The Problemmentioning

confidence: 99%

“…Li et al [10] have examined the electrohydrodynamic stability of the interface between two superposed viscous fluids in a channel subjected to a normal electric field. The long wave linear stability analysis is performed within the generic OrrSommerfeld framework for both perfect and leaky dielectrics.…”

Section: Introductionmentioning

confidence: 99%

Electrohydrodynamics Instability of Three Periodic Streaming Fluids through Porous Media

Alkharashi¹

2015

OALib

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In this work, the effect of transverse horizontal electric field on the stability of three layers of immiscible liquids is illustrated. The fluids are subjected to a uniform horizontal electric field. Analytical and numerical simulations of this system of linear evolution equations are performed. The solutions of the linearized equations of motion and the boundary conditions lead to deriving two simultaneous Mathieu equations of damping terms having complex coefficients. The effects of the streaming velocity, the permeability of the porous medium, and the electrical properties of the flow on the instability are investigated. In the case of uniform velocity, it is found that electric field has a stabilizing influence on the stability criteria. When the periodicity of the velocity is considered, the method of multiple scales is applied to obtain stability solution for the considered system. It is found that the phenomenon of the dual role is found for increasing the permeability parameter. In addition it is found that the velocity of the middle layer has a destabilizing effect whereas the dielectric constant ratio has an opposite influence to the stability of the fluid layers.

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Destabilization of Pickering emulsions using external electric fields

2010

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It is known that emulsions can be stabilized by the presence of particles that get trapped at fluid-fluid interfaces and prevent adjacent drops from coalescing with one another. We show here that such emulsions, or Pickering emulsions, can be destabilized by applying external electric fields. This is demonstrated experimentally by studying water drops in decane and silicone oil drops in corn oil in the presence of micro-sized particles. It is shown that the primary phenomenon responsible for the destabilization is the motion of particles on the surface of drops in the presence of a uniform electric field. Although there should be no electrostatic forces acting on neutral particles in a uniform electric field, the presence of the drop itself introduces nonuniformity, which leads to dielectrophoretic forces acting on the particles and is thus responsible for particle motions along the drop surface. Particles translate to either the poles or the equator of the drop, depending on the relative dielectric constants of the particles, the surrounding fluid and the fluid within the drop. Such motions break the particle barrier, thus allowing for drops to merge with one another and therefore destabilizing the emulsion.

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Linear stability of a two-fluid interface for electrohydrodynamic mixing in a channel

Cited by 84 publications

References 30 publications

Concentrating particles on drop surfaces using external electric fields

Concentrating particles on drop surfaces using external electric fields

Electrohydrodynamics Instability of Three Periodic Streaming Fluids through Porous Media

Destabilization of Pickering emulsions using external electric fields

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