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The goal of this document is describe the multiphase transfer processes describing the bubble dynamics of a water electrolyzer. The motivation is to describe the dilute-dispersed mass transfer within and Alkaline Water Electrolyzer. Special…

Fluid Dynamics · Physics 2022-09-08 Nicolas Valle

The capillary forces exerted by liquid drops and bubbles on a soft solid are directly measured using molecular dynamics simulations. The force on the solid by the liquid near the contact line is not oriented along the liquid vapor interface…

Soft Condensed Matter · Physics 2013-05-31 Joost H. Weijs , Bruno Andreotti , Jacco H. Snoeijer

The nonlinear dynamics of electron-acoustic localized structures in a collisionless and unmagnetized plasma consisting of "cool" inertial electrons, "hot" electrons having a kappa distribution, and stationary ions is studied. The…

Solar and Stellar Astrophysics · Physics 2011-08-18 Ashkbiz Danehkar , Nareshpal Singh Saini , Manfred A. Hellberg , Ioannis Kourakis

We use the hyperbolic subdiffusion equation with fractional time derivatives (the generalized Cattaneo equation) to study the transport process of electrolytes in media where subdiffusion occurs. In this model the flux is delayed in a…

Statistical Mechanics · Physics 2009-11-13 Tadeusz Kosztolowicz , Katarzyna D. Lewandowska

We study a class of degenerate convection diffusion equations with a fractional nonlinear diffusion term. These equations are natural generalizations of anomalous diffusion equations, fractional conservations laws, local convection…

Analysis of PDEs · Mathematics 2011-07-28 Simone Cifani , Espen R. Jakobsen

We have established in a pilot study, that the spreading of liquids in sandy porous materials at low levels of saturation, typically less than ten percent of the available void space, has very distinctive features in comparison to that at…

Soft Condensed Matter · Physics 2018-12-13 Alex V. Lukyanov , Vladimir Mitkin , Theo G. Theofanous , Mike Baines

Sodium-ion batteries employing hard carbon electrodes are considered a drop-in technology for lithium-ion batteries. Electrode drying is a critical manufacturing step, as binder migration during pore emptying impacts the mechanical…

Computational Engineering, Finance, and Science · Computer Science 2026-03-20 Marcel Weichel , Martin Reder , Gerit Mühlberg , David Burger , Philip Scharfer , Wilhelm Schabel , Britta Nestler , Daniel Schneider

We study the paralinearised weakly dispersive Burgers type equation: $$\partial_t u+T_u \partial_xu+\partial_x |D|^{\alpha-1}u=0,\ \alpha \in ]1,2[,$$ which contains the main non linear "worst interaction" terms, that is low-high…

Analysis of PDEs · Mathematics 2025-10-13 Ayman Rimah Said

The paper presents an experimental study of the capillary electrostatic instability occurring under effect of a constant electric field on a magnetic fluid individual peak. The peaks under study occur at disintegration of a magnetic fluid…

Fluid Dynamics · Physics 2013-07-31 Levon Mkrtchyan , Arthur Zakinyan , Yuri Dikansky

Nonlinear behavior of electro-osmosis in dilute non-adsorbing polymer solutions with low salinity is investigated with Brownian dynamics simulations and a kinetic theory. In the Brownian simulations, the hydrodynamic interaction between the…

Soft Condensed Matter · Physics 2015-06-19 Yuki Uematsu

We report dynamic and coagulation properties of a dispersion of polyelectrolyte multilayer microcapsules filled with solutions of a strong polyelectrolyte. The capsule self-diffusion coefficient in the vicinity of the wall is measured using…

Soft Condensed Matter · Physics 2007-05-23 Byoung-Suhk Kim , Vladimir Lobaskin , Olga I. Vinogradova

We present new data for the electrical conductivity of foams in which the liquid fraction ranges from two to eighty percent. We compare with a comprehensive collection of prior data, and we model all results with simple empirical formul\ae.…

Soft Condensed Matter · Physics 2007-05-23 K. Feitosa , S. Marze , A. Saint-Jalmes , D. J. Durian

A model is developed for describing the transport of charged colloidal particles in an evaporating sessile droplet on the electrified metal substrate in the presence of a solvent flow. The model takes into account the electric charge of…

Soft Condensed Matter · Physics 2022-03-16 Semen V. Zavarzin , Andrei L. Kolesnikov , Yury A. Budkov , Lev Yu. Barash

We couple the Leaky Membrane Model, which describes the diffusion and electromigration of ions in a homogenized porous medium of fixed background charge, with Butler-Volmer reaction kinetics for flat electrodes separated by such a medium in…

Chemical Physics · Physics 2018-02-08 Edwin Khoo , Martin Z. Bazant

The problem of capillary transport in fibrous porous materials at low levels of liquid saturation has been addressed. It has been demonstrated, that the process of liquid spreading in this type of porous materials at low saturation can be…

In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a system coupling a…

Analysis of PDEs · Mathematics 2019-09-04 E. Feireisl , E. Rocca , G. Schimperna , A. Zarnescu

The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is degenerate parabolic of fourth order and…

Analysis of PDEs · Mathematics 2012-12-27 Joachim Escher , Matthieu Hillairet , Philippe Laurencot , Christoph Walker

Nonlinear electrokinetic phenomena, where electrically driven fluid flows depend nonlinearly on the applied voltage, are commonly encountered in aqueous suspensions of colloidal particles. A prime example is the induced-charge…

Soft Condensed Matter · Physics 2024-11-27 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska

We study the thermodynamic behavior of nonpolar liquid mixtures in the vicinity of curved charged objects, such as electrodes or charged colloids. For small enough charge on the object, or equivalently, small potential, the…

Statistical Mechanics · Physics 2009-11-13 Gilad Marcus , Sela Samin , Yoav Tsori

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids, both shear-thinning and shear-thinning liquids, that completely wet a spherical substrate is theoretically investigated in the capillary-controlled…

Soft Condensed Matter · Physics 2017-10-12 Masao Iwamatsu