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We give a general, physical description of ``induced-charge electro-osmosis'' (ICEO), the nonlinear electrokinetic slip at a polarizable surface, in the context of some new techniques for microfluidic pumping and mixing. ICEO generalizes…

Fluid Dynamics · Physics 2009-11-10 Martin Z. Bazant , Todd M. Squires

In this paper we consider the topology optimization for a bipolar plate of a hydrogen electrolysis cell. We present a model for the bipolar plate using the Stokes equation with an additional drag term, which models the influence of fluid…

Optimization and Control · Mathematics 2025-10-14 Leon Baeck , Sebastian Blauth , Christian Leithäuser , René Pinnau , Kevin Sturm

In this paper, we present a framework for multiscale topology optimization of fluid-flow devices. The objective is to minimize dissipated power, subject to a desired contact-area. The proposed strategy is to design optimal microstructures…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

We report theoretical analysis of transport-induced-charge electroosmosis (TICEO) in a nanopore due to the presence of a local electric field and a conductivity gradient. TICEO shares a similar characteristic with classical induced-charge…

Fluid Dynamics · Physics 2021-08-06 Wei-Lun Hsu , Zhixuan Wang , Hirofumi Daiguji

In this paper, we introduce a density-based topology optimization framework to design porous electrodes for maximum energy storage. We simulate the full cell with a model that incorporates electronic potential, ionic potential, and…

We describe the general phenomenon of `induced-charge electro-osmosis' (ICEO) -- the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic charge it {\sl induces} around a polarizable surface. Motivated by a…

Fluid Dynamics · Physics 2007-05-23 Todd M. Squires , Martin Z. Bazant

We establish experimentally the flow patterns of induced-charge electro-osmosis (ICEO) around immobilized metallic spheres in aqueous electrolyte. The AC field modifies local electrolyte concentration and causes quadrupolar flows with…

Soft Condensed Matter · Physics 2015-06-23 Chenhui Peng , Israel Lazo , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology optimization problem for a time-evolving elastoplastic…

Analysis of PDEs · Mathematics 2021-06-21 Stefano Almi , Ulisse Stefanelli

For a microchamber filled with a binary electrolyte and containing a flat un-biased center electrode at one wall, we employ three numerical models to study the strength of the resulting induced-charge electro-osmotic (ICEO) flow rolls: (i)…

Fluid Dynamics · Physics 2011-10-28 Misha Marie Gregersen , Mathias B. Andersen , Gaurav Soni , Carl Meinhart , Henrik Bruus

Utilizing synthetic dimensions generated by spatial or temporal modulation, topological pumping enables the exploration of higher-dimensional topological phenomena through lower-dimensional physical systems. In this letter, we propose a…

Other Condensed Matter · Physics 2024-04-24 Xianggui Ding , Zongliang Du , Jiachen Luo , Hui Chen , Zhenqun Guan , Xu Guo

Three-dimensional (3D) AC electro-osmotic (ACEO) pumps have recently been developed that are much faster and more robust than previous planar designs. The basic idea is to create a ``fluid conveyor belt'' by placing opposing ACEO slip…

Fluid Dynamics · Physics 2009-11-13 Damian Burch , Martin Z. Bazant

AC Electroosmosis (ACEO) has many advantages such as low power consumption, non-moving parts, and easy to integrate etc., so it is widely used for low concentration microfluid manipulation in low frequency range. Classical ACEO theory…

Classical Physics · Physics 2012-02-03 Jiang Hong-Yuan , Li Shan-Shan , Hou Zhen-Xiu , Ren Yu-Kun , Sun Yong-Jun

Fluidic devices are crucial components in many industrial applications involving fluid mechanics. Computational design of a high-performance fluidic system faces multifaceted challenges regarding its geometric representation and physical…

Graphics · Computer Science 2022-09-27 Yifei Li , Tao Du , Sangeetha Grama Srinivasan , Kui Wu , Bo Zhu , Eftychios Sifakis , Wojciech Matusik

A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

Topological pumping of edge states in finite crystals or quasicrystals with non-trivial topological phases provides a powerful means for robust excitation transfer. In most schemes of topological pumping, the edge states become delocalized…

Quantum Physics · Physics 2021-02-19 Stefano Longhi

Topology optimization (TopOpt) is a mathematical-driven design procedure to realize optimal material architectures. This procedure is often used to automate the design of devices involving flow through porous media, such as micro-fluidic…

Numerical Analysis · Mathematics 2021-06-01 T. Phatak , K. B. Nakshatrala

The venerable theory of electrokinetic phenomena rests on the hypothesis of a dilute solution of point-like ions near a weakly charged surface, whose potential relative to the bulk is of order the thermal voltage ($kT/e \approx 25$ mV at…

Fluid Dynamics · Physics 2009-09-29 Martin Z. Bazant , Mustafa Sabri Kilic , Brian D. Storey , Armand Ajdari

As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we propose a topology optimization model for electrode structure…

Optimization and Control · Mathematics 2025-11-27 Jiajie Li , Xiang Ji , Shenggao Zhou , Shengfeng Zhu

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
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