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A transient analysis to quantify droplet deformation under DC electric fields is presented. The full Taylor-Melcher leaky dielectric model is employed where the charge relaxation time is considered to be finite. The droplet is assumed to be…

Fluid Dynamics · Physics 2015-06-11 Jia Zhang , Jeffery D. Zahn , Hao Lin

Weakly conducting dielectric liquid drops suspended in another dielectric liquid and subject to an applied uniform electric field exhibit a wide range of dynamical behaviors contingent on field strength and material properties. These…

Fluid Dynamics · Physics 2017-10-11 Debasish Das , David Saintillan

When a drop of a leaky dielectric fluid is suspended in another fluid and subjected to a uniform DC electric field, it becomes polarized, leading to tangential electric stresses that drive fluid motion both inside and outside the drop. In…

Fluid Dynamics · Physics 2025-05-19 Michael A. McDougall , Stephen K. Wilson , Debasish Das

A nonlinear three-dimensional small-deformation theory is presented for a leaky dielectric drop coated with a dilute monolayer of insoluble apolar surfactant and subjected to a uniform DC electric field. The theory is developed within the…

Fluid Dynamics · Physics 2026-02-04 Michael A. McDougall , Stephen K. Wilson , Debasish Das

A three dimensional small deformation theory is developed to examine the motion of a magnetic droplet in a uniform rotating magnetic field. The equations describing the droplet's shape evolution are derived using two different approaches -…

Fluid Dynamics · Physics 2022-05-20 Andris P. Stikuts , Régine Perzynski , Andrejs Cēbers

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

Fluid Dynamics · Physics 2021-06-29 Mohammadhossein Firouznia , David Saintillan

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

Soft Condensed Matter · Physics 2023-04-19 Reiner Kree , Annette Zippelius

We study the deformation and breakup of an axisymmetric electrolyte drop which is freely suspended in an infinite dielectric medium and subjected to an imposed electric field. The electric potential in the drop phase is assumed small, so…

Fluid Dynamics · Physics 2019-05-15 Qiming Wang , Manman Ma , Michael Siegel

A theoretical exploration and an analytical model for the electro-magneto-hydrodynamics (EMHD) of leaky dielectric liquid droplets, suspended in an immiscible confined fluid domain has been presented. The analytical solution for the system,…

Fluid Dynamics · Physics 2023-05-03 Pulak Gupta , Purbarun Dhar , Devranjan Samanta

The Taylor-Melcher (TM) model is the standard model for describing the dynamics of poorly conducting leaky dielectric fluids under an electric field. The TM model treats the fluids as Ohmic conductors, without modeling the underlying ion…

Fluid Dynamics · Physics 2018-10-17 Yoichiro Mori , Yuan-Nan Young

A classic result due to G.I.Taylor is that a drop placed in a uniform electric field becomes a prolate or oblate spheroid, which is axisymmetrically aligned with the applied field. We report an instability and symmetry-breaking transition…

Fluid Dynamics · Physics 2013-10-30 Paul F. Salipante , Petia M. Vlahovska

Drop deformation in shear flow is determined up to second order theory in Ca while considering kinetic effects on surfactants distributions in steady state. Surfactants inside the drop are adsorbed faster than those on the surface leading…

Soft Condensed Matter · Physics 2024-10-24 Paul Regazzi , Marc Leonetti

Accurate prediction of spray atomization process using an Euler-Lagrange (EL) approach is challenging because of high volume fraction of the liquid phase in dense regimes. This would in reality displace a remarkable portion of the gaseous…

Fluid Dynamics · Physics 2020-07-21 Pedram Pakseresht , Sourabh V. Apte

We report on experiments that consist in deforming a collection of monodisperse droplets produced by a microfluidic chip through a flow-focusing device. We show that a proper numerical modelling of the flow is necessary to access the stress…

Soft Condensed Matter · Physics 2018-05-23 Corentin Trégouët , Thomas Salez , Cécile Monteux , Mathilde Reyssat

A model is constructed to describe the arbitrary deformation of a drop or vesicle that contains and is embedded in an electrolyte solution, where the deformation is caused by an applied electric field. The applied field produces an…

Fluid Dynamics · Physics 2022-07-13 Manman Ma , Michael R. Booty , Michael Siegel

Drop deformation in uniform electric fields is a classic problem. The pioneering work of G.I.Taylor demonstrated that for weakly conducting media, the drop fluid undergoes a toroidal flow and the drop adopts a prolate or oblate spheroidal…

Fluid Dynamics · Physics 2009-10-19 Paul F. Salipante , Petia M. Vlahovska

We investigate pump-driven droplet electrohydrodynamics with an emphasis on deformation, pinch-off, and recoalescence. A thermodynamically consistent phase-field framework is developed that couples Nernst--Planck--Poisson electrodiffusion…

Fluid Dynamics · Physics 2025-09-15 Yuzhe Qin , Huaxiong Huang , Zilong Song , Shixin Xu

In this paper, we propose a Poisson-Nernst-Planck-Navier-Stokes-Cahn-Hillard (PNP-NS-CH)model for an electrically charged droplet suspended in a viscous fluid subjected to an external electric field. Our model incorporates spatial…

Fluid Dynamics · Physics 2023-05-18 Yuzhe Qin , Huaxiong Huang , Zilong Song , Shixin Xu

Microscopic multiphase flows have gained broad interest due to their capability to transfer processes into new operational windows and achieving significant process intensification. However, the hydrodynamic behavior of Taylor droplets is…

Fluid Dynamics · Physics 2019-09-04 Thorben Helmers , Philip Kemper , Jorg Thöming , Ulrich Mießner
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