Evolution of neutral and charged droplets in an electric field

Fontelos, Marco A.; Kindelán, U.; Vantzos, Orestis

doi:10.1063/1.2980030

Cited by 26 publications

(52 citation statements)

References 20 publications

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“…There is also some controversy about the Taylor cone angle opening prior to jet emission. In agreement with results in [11,12], a static Taylor cone semiangle of 49.3 • is not seen in the present simulations: instead the angle varies dynamically from its first occurrence to the time when jet emission occurs. The specific time where the cone shape first appears will be termed the singularity time t S , while t J will designate the time of first jet emission or, more precisely, the time when the first droplet is detached.…”

Section: B Neutral Droplet Distortion Under the Action Of An Electrisupporting

confidence: 91%

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Numerical simulations of electrostatically driven jets from nonviscous droplets

Garzon

Gray²,

Sethian

2014

Phys. Rev. E

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The evolution of a perfectly conducting and nonviscous fluid, under the action of an electric field (uniform at infinity), is studied numerically. Level set techniques are employed to develop an Eulerian potential flow model that can follow the drop evolution past breakup, while the free surface fluid velocity and the electric field force are obtained via axisymmetric boundary integral calculations. Numerical results are presented for neutral and charged droplets and for free charged droplets. In all cases, the evolution droplet aspect ratio, progeny droplet size, Taylor cone angles, jet shapes, and self-similar scaling exponents are reported. In particular, for free charged water droplets, the bursting frequency and other jetting characteristics have been carefully analyzed. Wherever possible, these results are compared with previously reported experiments and simulations.

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Section: B Neutral Droplet Distortion Under the Action Of An Electrisupporting

confidence: 91%

“…Studies of perfectly conducting viscous droplet deformation for neutral and charged droplets can be found in [11,12]. Numerical results on perfectly conducting nonviscous droplet distortion have been reported in [13][14][15].…”

Section: Introduction and Overviewmentioning

confidence: 99%

Numerical simulations of electrostatically driven jets from nonviscous droplets

Garzon

Gray²,

Sethian

2014

Phys. Rev. E

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“…This is very suitable for numerical simulation since it allows to compute the velocity field at the boundary of the drop, and hence the evolution of the drop's shape, by evaluating integrals restricted to the boundary itself (see [23] or [5], for instance). The boundary integral formulation is particularly interesting when dealing with the possible formation of singularities, like those appearing in the evolution of charged droplets [3], [12].…”

Section: Introductionmentioning

confidence: 99%

Evolution and Breakup of Viscous Rotating Drops

Fontelos¹,

García-Garrido²,

Kindelán³

2011

SIAM J. Appl. Math.

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We study the evolution of a viscous fluid drop rotating about a fixed axis at constant angular velocity Ω or constant angular momentum L surrounded by another viscous fluid. The problem is considered in the limit of large Ekman number and small Reynolds number. The analysis is carried out by combining asymptotic analysis and full numerical simulation by means of the boundary element method. We pay special attention to the stability/instability of equilibrium shapes and the possible formation of singularities representing a change in the topology of the fluid domain. When the evolution is at constant Ω, depending on its value, drops can take the form of a flat film whose thickness goes to zero in finite time or an elongated filament that extends indefinitely. When evolution takes place at constant L, and axial symmetry is imposed, thin films surrounded by a toroidal rim can develop, but the film thickness does not vanish in finite time. When axial symmetry is not imposed and L is sufficiently large, drops break axial symmetry and, depending on the value of L, reach an equilibrium configuration with a 2-fold symmetry or break up into several drops with a 2 or 3-fold symmetry. The mechanism of breakup is also described.

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“…Consequently, the instabilities mentioned by Refs. [29][30][31] can be seen even when the droplet charge is way below its Rayleigh limit.…”

Section: Introductionmentioning

confidence: 93%

“…Many authors investigated these effects both for charged and uncharged droplets [29][30][31]. Commonly referred to as Taylor cones [6], these structures result from a balance of charge-induced pressure from the applied EF and surface tension stresses resisting interfacial deformation [25].…”

Section: Introductionmentioning

confidence: 99%

Reverse movement and coalescence of water microdroplets in electrohydrodynamic atomization

Agostinho

Fuchs²,

Metz³

et al. 2011

Phys. Rev. E

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When a high voltage is applied to a liquid pumped through a needle, charged microdroplets can be formed, which are carried along the electric field lines. This phenomenon is called electrohydrodynamic atomization (EHDA), or simply electrospray. In this work we show that in the case of water, droplets may reverse their paths flying back toward the liquid meniscus, sometimes making contact with it. Such reverse movement is caused by polarization of the water inside the strong electric field. To understand this phenomenon we developed a way to calculate the droplet charge using its trajectory obtained by high-speed imaging. The values found showed that these droplets are charged between 2.5% and 19% of their Rayleigh limit.

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Evolution of neutral and charged droplets in an electric field

Cited by 26 publications

References 20 publications

Numerical simulations of electrostatically driven jets from nonviscous droplets

Numerical simulations of electrostatically driven jets from nonviscous droplets

Evolution and Breakup of Viscous Rotating Drops

Reverse movement and coalescence of water microdroplets in electrohydrodynamic atomization

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