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We present a highly accurate numerical method based on a boundary integral formulation and the leaky dielectric model to study the dynamics of surfactant-covered drops in the presence of an applied electric field. The method can simulate…

Numerical Analysis · Mathematics 2019-05-22 Chiara Sorgentone , Anna-Karin Tornberg , Petia Vlahovska

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

The presence of surfactants alters the dynamics of viscous drops immersed in an ambient viscous fluid. This is specifically true at small scales, such as in applications of droplet based microfluidics, where the interface dynamics become of…

Numerical Analysis · Mathematics 2018-03-14 Chiara Sorgentone , Anna-Karin Tornberg

The present study deals with the numerical as well as asymptotic analysis of the electrohydrodynamic interaction between two deformable droplets in a confined shear flow. Considering both the phases as leaky dielectric, we have performed…

Fluid Dynamics · Physics 2019-03-27 Somnath Santra , Diptendu Sen , Sayan Das , Suman Chakraborty

We present a novel immersed boundary method that implements acoustic perturbation theory to model an acoustically levitated droplet. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering…

Soft Condensed Matter · Physics 2024-03-22 Jacqueline B. Sustiel , David G. Grier

We study the pairwise interactions of drops in an applied uniform DC electric field within the framework of the leaky dielectric model. We develop three-dimensional numerical simulations using the boundary integral method and an analytical…

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

The present study deals with the dynamics of a double emulsion confined in a microchannel under the presence of a uniform electric field. Towards investigating the non-trivial electrohydrodynamics of a compound droplet, confined in between…

Fluid Dynamics · Physics 2018-08-14 Somnath Santra , Sayan Das , Suman Chakraborty

A highly accurate method for simulating surfactant-covered droplets in two-dimensional Stokes flow with solid boundaries is presented. The method handles both periodic channel flows of arbitrary shape and stationary solid constrictions. A…

Numerical Analysis · Mathematics 2020-12-02 Sara Pålsson , Anna-Karin Tornberg

We investigate the electrohydrodynamics of an initially spherical droplet under the influence of an external alternating electric field by conducting axisymmetric numerical simulations using a charge-conservative volume-of-fluid based…

Fluid Dynamics · Physics 2020-07-22 Kirti Chandra Sahu , Manoj Kumar Tripathi , Jay Chaudhari , Suman Chakraborty

We develop a numerical method for simulating the dynamics of a droplet immersed in a generic time-dependent velocity gradient field. This approach is grounded on the hybrid coupling between the lattice Boltzmann (LB) method, employed for…

Fluid Dynamics · Physics 2024-05-24 Diego Taglienti , Fabio Guglietta , Mauro Sbragaglia

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

Performing highly accurate simulations of droplet systems is a challenging problem. This is primarily due to the interface dynamics which is complicated further by the addition of surfactants. This paper presents a boundary integral method…

Numerical Analysis · Mathematics 2019-05-01 Sara Pålsson , Michael Siegel , Anna-Karin Tornberg

We present for the first time an experimental investigation of electrohydrodynamic (EHD) flows within a neutrally buoyant drop with initial radius of 2.25 mm. Utilizing particle image velocimetry (PIV) and high-speed shadowgraphy, we…

Fluid Dynamics · Physics 2025-02-19 Joel R. Karp , Bertrand Lecordier , Mostafa S. Shadloo

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

We propose an electro-hydrodynamics model to describe the dynamic evolution of a slender drop containing a dilute ionic surfactant on a naturally wettable surface, with a varying external electric field. This unified model reproduces…

Fluid Dynamics · Physics 2023-06-30 Weiqi Chu , Hangjie Ji , Qining Wang , Chang-jin "CJ'' Kim , Andrea L. Bertozzi

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

Fluid Dynamics · Physics 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger

A hybrid sharp-interface immersed-boundary/front-tracking (IB/FT) method is developed for interface-resolved simulation of evaporating droplets in incompressible multiphase flows. A one-field formulation is used to solve the flow, species…

Fluid Dynamics · Physics 2025-10-30 Faraz Salimnezhad , Hasret Turkeri , Iskender Gokalp , Metin Muradoglu

An isolated charge-neutral drop suspended in an unbounded medium does not migrate in a uniform DC electric field. A nearby wall breaks the symmetry and causes the drop to drift towards or away from the boundary, depending on the electric…

Fluid Dynamics · Physics 2025-04-25 Diptendu Sen , Mohammadhossein Firouznia , David Saintillan , Petia M. Vlahovska

Hydro-mechanical processes in rough fractures are highly non-linear and govern productivity and associated risks in a wide range of reservoir engineering problems. To enable high-resolution simulations of hydro-mechanical processes in…

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