Buoyancy-driven motion of a two-dimensional bubble or drop through a viscous liquid in the presence of a vertical electric field

Mählmann, Stefan; Papageorgiou, Demetrios T.

doi:10.1007/s00162-009-0158-x

Cited by 16 publications

(2 citation statements)

References 44 publications

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“…Gao et al (2013) experimentally studied the growth of a single R113 vapor bubble under nonuniform electric fields which were built by a vertical needle and a horizontal heating plate, and observed that the nonuniform electric fields would restrain the bubble growth. Mahlmann and Papageorgiou (2009) numerically simulated a bubble rising under a uniform electric by a two-dimensional level set method. Wang et al (2015) used VOSET method to study the influence of electric field intensity, fluid permittivity, viscosity, and surface tension force on bubble deformation and rising under uniform electric fields.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Numerical Simulation of Bubble Dynamics in Microgravity under the Influence of Nonuniform Electric Fields

Wang

Zhao

2016

Microgravity Sci. Technol.

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A three-dimensional VOSET method is used along with the adaptive mesh refinement (AMR) method to simulate the behaviors of a bubble departing from the outside wall of a horizontal square-cross-section tube in microgravity under the influence of nonuniform electric fields. The effects of gravity, electric field intensity, fluid permittivity, and bubble initial position on the bubble detachment and rising are investigated and analyzed. Computational results show that the gravity and electric fields have significant influences on the bubble detachment and rising velocity and rising trajectory. Decrease in gravity results in the decrease in the buoyancy exerted on the bubble, considerably mitigating the rising capability of the bubble and delaying the bubble detachment. Imposing a nonuniform electric field, which exhibits physically the strongest intensity in regions near the tube wall, can supply an additional driving force as a replacement of the buoyancy to accelerate the bubble detachment and rising. It is also shown that a larger electric field intensity or larger ratio of liquid permittivity to gas permittivity leads to a larger deformation, easier detachment, and larger rising velocity, of the bubble. The nonuniformity of the electric fields can also affect the bubble motion trajectory and result in the asymmetric deformation of the bubble.

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Section: Introductionmentioning

confidence: 99%

Three-Dimensional Numerical Simulation of Bubble Dynamics in Microgravity under the Influence of Nonuniform Electric Fields

Wang

Zhao

2016

Microgravity Sci. Technol.

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“…Simulations that follow the instabilities into the nonlinear regime and interfacial touchdown (the crucial mechanism that generated the encapsulated droplets) have been carried out and the reduction in droplet volume as the field is increased is supported by them [16]. Allied direct numerical simulations on the effect of electric fields on both buoyantly driven or shear drops can be found in [17,18].…”

Section: Introductionmentioning

confidence: 99%

On the generation of nonlinear travelling waves in confined geometries using electric fields

Cimpeanu

Papageorgiou

2014

Phil. Trans. R. Soc. A.

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We investigate electrostatically induced interfacial instabilities and subsequent generation of nonlinear coherent structures in immiscible, viscous, dielectric multi-layer stratified flows confined in small-scale channels. Vertical electric fields are imposed across the channel to produce interfacial instabilities that would normally be absent in such flows. In situations when the imposed vertical fields are constant, interfacial instabilities emerge due to the presence of electrostatic forces, and we follow the nonlinear dynamics via direct numerical simulations. We also propose and illustrate a novel pumping mechanism in microfluidic devices that does not use moving parts. This is achieved by first inducing interfacial instabilities using constant background electric fields to obtain fully nonlinear deformations. The second step involves the manipulation of the imposed voltage on the lower electrode (channel wall) to produce a spatio-temporally varying voltage there, in the form of a travelling wave with pre-determined properties. Such travelling wave dielectrophoresis methods are shown to generate intricate fluid–surface–structure interactions that can be of practical value since they produce net mass flux along the channel and thus are candidates for microfluidic pumps without moving parts. We show via extensive direct numerical simulations that this pumping phenomenon is a result of an externally induced nonlinear travelling wave that forms at the fluid–fluid interface and study the characteristics of the generated velocity field inside the channel.

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Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology

2019

Z. Angew. Math. Phys.

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Buoyancy-driven motion of a two-dimensional bubble or drop through a viscous liquid in the presence of a vertical electric field

Cited by 16 publications

References 44 publications

Three-Dimensional Numerical Simulation of Bubble Dynamics in Microgravity under the Influence of Nonuniform Electric Fields

Three-Dimensional Numerical Simulation of Bubble Dynamics in Microgravity under the Influence of Nonuniform Electric Fields

On the generation of nonlinear travelling waves in confined geometries using electric fields

Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology

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