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We introduce and investigate a generalization of the Hele-Shaw flow with injection where several droplets compete for space as they try to expand due to internal pressure while still preserving their topology. Droplets are described by…

Complex Variables · Mathematics 2024-09-20 Fredrik Viklund , David Witt Nyström

Possible mechanisms of overlimiting current in unsupported electrolytes, exceeding diffusion limitation, have been intensely studied for their fundamental significance and applications to desalination, separations, sensing, and energy…

Fluid Dynamics · Physics 2015-06-22 Sungmin Nam , Inhee Cho , Joonseong Heo , Geunbae Lim , Martin Z. Bazant , Gunyong Sung , Sung Jae Kim

This work investigates electroviscous effects in presence of charge-dependent slip in steady pressure-driven laminar flow of a symmetric (1:1) electrolyte liquid through a uniformly charged slit contraction - expansion (4:1:4) microfluidic…

Fluid Dynamics · Physics 2022-08-24 Jitendra Dhakar , Ram Prakash Bharti

Plasma treatment of polymer films results in their electrical charging, which in turn gives rise to an increase in their surface energy. The process results in pronounced hydrophilization of the polymer surfaces. A phenomenological theory…

We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical pre-stress applied on its lateral faces and an electric field applied through its thickness under charge control. The electric field is…

Soft Condensed Matter · Physics 2020-03-17 Hannah Conroy Broderick , Michele Righi , Michel Destrade , Ray W. Ogden

Dominating electron-electron scattering enables viscous electron flow exhibiting hydrodynamic current density patterns such as Poiseuille profiles or vortices. The viscous regime has recently been observed in graphene by non-local transport…

An electrohydrodynamic numerical model is used to explore the electrospray emission behavior of both moderate and high electrical conductivity liquids under electrospray conditions. The Volume-of-Fluid method, incorporating a…

Fluid Dynamics · Physics 2022-11-30 Henry Huh , Richard E. Wirz

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

In this paper we report the theory describing the electro-osmotic flow in charged nanopores with constant radius and charge density driven by alternating current. We solve the ion and solution transport in unsteady conditions as described…

Chemical Physics · Physics 2018-10-17 J. Catalano , P. M. Biesheuvel

Electro- and diffusio- phoresis of particles correspond respectively to the transport of particles under electric field and solute concentration gradients. Such interfacial transport phenomena take their origin in a diffuse layer close to…

Soft Condensed Matter · Physics 2020-04-22 Sophie Marbach , Hiroaki Yoshida , Lydéric Bocquet

For a dielectric solid surrounded by an electrolyte and positioned inside an externally biased parallel-plate capacitor, we study numerically how the resulting induced-charge electro-osmotic (ICEO) flow depends on the topology and shape of…

Fluid Dynamics · Physics 2011-10-28 Misha Marie Gregersen , Fridolin Okkels , Martin Z. Bazant , Henrik Bruus

Electrohydrodynamic (EHD) flow induced by planar corona discharge in the wall boundary layer region is investigated experimentally and via a multiphysics computational model. The EHD phenomena has many potential engineering applications,…

Fluid Dynamics · Physics 2019-07-10 Ravi Sankar Vaddi , Yifei Guan , Zhi Yan Chen , Alexander Mamishev , Igor Novosselov

An ion-exchange-resin-based microfluidic pump is introduced that utilizes trace amounts of ions to generate fluid flows. We show experimentally that our pump operates in almost deionized water for periods exceeding 24h and induces fluid…

Electrolyte-filled channels with modulated wall charge distribution subjected to an applied DC electric field, form time-independent vortices whose sense of circulation is determined by the field direction [Physical Review Letters $…

Fluid Dynamics · Physics 2026-02-02 A. Shrestha , E. Kirkinis , M. Olvera de la Cruz

Recent experiments have shown that when a near-hemispherical lipid vesicle attached to a solid surface is subjected to a simple shear flow it exhibits a pattern of membrane circulation much like a dipole vortex. This is in marked contrast…

Fluid Dynamics · Physics 2012-08-14 Francis G. Woodhouse , Raymond E. Goldstein

A Hele-Shaw cell is a device used to study fluid flow between two parallel plates separated by a small gap. The governing equation of flow within a Hele-Shaw cell is Darcy's law, which also describes flow through a porous medium. In this…

Fluid Dynamics · Physics 2023-05-25 Dylan Reynolds , Gustavo M. Monteiro , Sriram Ganeshan

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

We consider the behaviour of a dielectric fluid-fluid interface in the presence of a strong electric field from a point charge and line charge, respectively, both statically and, in the latter case, dynamically. The fluid surface is…

Soft Condensed Matter · Physics 2012-11-08 Simen Å. Ellingsen , Iver Brevik

Selectivity towards positive and negative ions in nanopores is often associated with electroosmotic flow, the control of which is pivotal in several micro-nanofluidic technologies. Selectivity is traditionally understood to be a consequence…

Fluid Dynamics · Physics 2022-04-21 Giovanni Di Muccio , Blasco Morozzo della Rocca , Mauro Chinappi

Manipulation of the charge of the dielectric interface between two bulk liquids not only enables the adjustment of the interfacial tension but also controls the storage capacity of ions in the ionic double layers adjacent to each side of…

Soft Condensed Matter · Physics 2018-03-14 Marise J. E. Westbroek , Niels Boon , René van Roij