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Related papers: A Finite Element Method for Electrowetting on Diel…

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We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Navier--Stokes equations in the two phases, which are coupled via jump conditions across the interface. Using a novel…

Numerical Analysis · Mathematics 2015-06-02 John W. Barrett , Harald Garcke , Robert Nürnberg

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

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

Numerical Analysis · Mathematics 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with the classical interface conditions on the interface. We…

Numerical Analysis · Mathematics 2023-06-21 Harald Garcke , Robert Nürnberg , Quan Zhao

Herein, we describe a novel device configuration for double-plate electrowetting-on-dielectric system with a floating top-electrode. As conventional double-plate EWOD device requires a grounded electrode on top-plate, it will cause…

Applied Physics · Physics 2020-02-06 Hanbin Ma , Siyi Hu , Yuhan Jie , Kai Jin , Yang Su

In this work, we present a parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. The free boundary problem is given by the viscoelastic Navier-Stokes equations in the two fluid phases, connected by…

Numerical Analysis · Mathematics 2026-02-11 Harald Garcke , Robert Nürnberg , Dennis Trautwein

The wetting properties of immiscible two-phase systems are crucial in a wide range of applications, from lab-on-a-chip devices to field-scale oil recovery. It has long been known that effective wetting properties can be altered by the…

Fluid Dynamics · Physics 2018-07-11 Gaute Linga , Asger J. S. Bolet , Joachim Mathiesen

This fluid dynamics video showcases how optically induced electrowetting can be used to manipulate liquid droplets in open space and particulate phases inside the droplet. A photoconductive layer is added to a conventional…

Fluid Dynamics · Physics 2009-10-20 Han-Sheng Chuang , Aloke Kumar , Steven T. Wereley

A finite element model was developed to compute the fluid flow inside a sessile evaporating droplet on hydrophilic substrate in ambient conditions. The evaporation is assumed as quasi-steady and the flow is considered as axisymmetric with a…

Fluid Dynamics · Physics 2020-09-08 Manish Kumar , Rajneesh Bhardwaj

We numerically and experimentally investigate evaporation of a sessile droplet on a heated substrate. We develop a finite element (FE) model in two-dimensional axisymmetric coordinates to solve coupled transport of heat in the droplet and…

Applied Physics · Physics 2019-07-15 Manish Kumar , Rajneesh Bhardwaj

We consider a fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the 2D Navier-Stokes equations, through a thin deformable elastic tube, displacement of which is not known a priori. The…

Analysis of PDEs · Mathematics 2026-04-09 Krutika Tawri , Nash Ward

In this work, Electrowetting on Dielectric (EWOD) and electrostatic induction (ESI) are employed to manipulate droplet on the PDMS-ITO substrate. Firstly, we report large vertical vibrations of the droplet, induced by EWOD, within a voltage…

Fluid Dynamics · Physics 2023-09-06 Ziqi Li , Yongzhou Luo , Rucheng Dai , Zhongping Wang , Xiaoyu Sun

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…

We consider the flow of two viscous and incompressible fluids within a bounded domain modeled by means of a two-phase Navier-Stokes system. The two fluids are assumed to be immiscible, meaning that they are separated by an interface. With…

Analysis of PDEs · Mathematics 2022-08-24 Sebastian Hensel , Alice Marveggio

The wetting of solid surfaces can be manoeuvred by altering the energy balance at the interfacial region. While electric field acts favourably to spread a droplet on a rigid surface, this tendency may be significantly suppressed over soft…

Soft Condensed Matter · Physics 2019-05-07 Sumit Kumar , Pawan Kumar , Sunando DasGupta , Suman Chakraborty

This paper is devoted to the numerical study of droplet impact on solid substrates in presence of surfactants. We formulate the problem in an energetically variational framework and introduce an incompressible Cahn-Hilliard-Navier-Stokes…

Fluid Dynamics · Physics 2022-12-20 Chenxi Wang , Ming-Chih Lai , Zhen Zhang

Depending on the contact line motion, colloid-rich drolets evaporation can leave a ring-like or a spot-like residue. Herein, we determine this outcome by controlling the contact line motion using coplanar direct current…

Fluid Dynamics · Physics 2019-05-16 Wei Wang , Qi Wang , Kaidi Zhang , Xubo Wang , Antoine Riaud , Jia Zhou

Electric voltage applied in electrowetting can induce speading, sliding and even jumping of an individual droplet by changing the intrinsic balance of three-phase interfacial tensions, which has been widely used for droplet manipulating in…

Fluid Dynamics · Physics 2024-06-19 Kaixuan Zhang , Shuo Chen , Jiayi Zhao , Yang Liu

Many multiphase fluid systems, such as those involving immiscible polymers or liquid-liquid systems with surfactants, have shown a breakdown of the no-slip condition at the material interface. This results in systems where the tangential…

Fluid Dynamics · Physics 2023-04-05 Afsoun Rahnama Falavarjani , David Salac

In this paper, we investigate the dynamics of an incompressible viscous Navier-Stokes fluid evolving above a one-dimensional flat surface. The fluid is subject to a uniform gravitational field and capillary forces acting along the free…

Analysis of PDEs · Mathematics 2026-02-19 Xiaoding Yang