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We study the flow of an electrically charged fluid through an elastic and porous medium. A three continuum model consisting of an elastic solid, a viscous fluid, and a mobile charge continuum is used. The relevant laws of physics are…

Soft Condensed Matter · Physics 2024-03-19 Jiashi Yang

In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the…

Fluid Dynamics · Physics 2024-10-11 Kyle I. McKee , John W. M. Bush

The Biot-Savart law is relevant in physical contexts including electromagnetism and fluid dynamics. In the latter case, when the rotation of a fluid is confined to a set of very thin vortex filaments, this law describes the velocity field…

Computational Physics · Physics 2025-07-10 Juan Ignacio Polanco

Future developments of lighter, more compact and powerful motors-driven by environmental and sustainability considerations in the transportation industry-involve higher stresses, currents and electromagnetic fields. Strong couplings between…

Classical Physics · Physics 2021-02-24 N Hanappier , E Charkaluk , N Triantafyllidis

We present an analytical strategy to solve the electric field generated by a planar region $\mathcal{A}$ enclosed by a contour $c$ which is kept with a fixed but non-uniform electric potential. The approach can be used in certain situations…

Computational Physics · Physics 2019-07-05 Robert Salazar , Camilo Bayona , J. S. Solís Chaves

Numerical simulation of Electroconvective vortices behavior in the presence of Couette flow between two infinitely long electrodes is investigated. The two-relaxation-time Lattice Boltzmann Method with fast Poisson solver solves for the…

Fluid Dynamics · Physics 2019-10-09 Yifei Guan , Igor Novosselov

One of the prevailing challenges in Computational Fluid Dynamics is accurate simulation of two-phase flows involving heat and mass transfer across the fluid interface. This is currently an active field of research, which is to some extend…

Fluid Dynamics · Physics 2021-03-02 Henning Scheufler , Johan Roenby

Electroconvection in a thin, sheared fluid film displays a rich sequence of bifurcations between different flow states as the driving voltage is increased. We present a numerical study of an annular film in which a radial potential…

Pattern Formation and Solitons · Physics 2009-11-13 Peichun Tsai , Stephen W. Morris , Zahir A. Daya

Gas-liquid flows can be simulated by the Eulerian-Eulerian (E-E) method. Whether to include a specific momentum interfacial exchange force model remains as a question with no answer. In this work, our aim is to seek a general numerical…

Fluid Dynamics · Physics 2019-10-10 Yulong Li , Dongyue Li

A better understanding of interfacial mechanisms is needed to improve the performances of electrochemical devices. Yet, simulating an electrode surface at fixed electrolyte composition remains a challenge. Here we apply a finite electric…

Materials Science · Physics 2019-11-13 Thomas Dufils , Guillaume Jeanmairet , Benjamin Rotenberg , Michiel Sprik , Mathieu Salanne

Recent advances in power system simulation have included the use of complex rectangular current and voltage (I-V) variables for solving the power flow and three-phase power flow problems. This formulation has demonstrated superior…

Systems and Control · Computer Science 2017-11-07 Amritanshu Pandey , Marko Jereminov , Gabriela Hug , Larry Pileggi

Simulations of wetting phenomena by a meshfree particle method are presented. The incompressible Navier-Stokes equations are used to model the two-phase flow. The continuous surface force model is used to incorporate the surface tension…

Numerical Analysis · Mathematics 2014-06-19 Sudarshan Tiwari , Axel Klar , Steffen Hardt

In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivated by systems in membrane biology, such as cytoskeletal…

Numerical Analysis · Mathematics 2023-12-21 Basant Lal Sharma , Luigi E. Perotti , Sanjay Dharmavaram

The modelling of electrokinetic flows is a critical aspect spanning many industrial applications and research fields. This has introduced great demand in flexible numerical solvers to describe these flows. The underlying phenomena are…

Numerical Analysis · Mathematics 2023-11-08 Robert Barnett , Federico Municchi , John King , Matteo Icardi

The continuum-scale electrokinetic porous-media flow and excess charge redistribution equations are uncoupled using eigenvalue decomposition. The uncoupling results in a pair of independent diffusion equations for "intermediate" potentials…

Computational Physics · Physics 2020-09-01 Kristopher L. Kuhlman , Bwalya Malama

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo

The numerical simulation of fluid flow through a complex geometry with heat transfer is of strong interest for many applications, such as oil-filled power transformers. A fundamental challenge here is that high resolution is necessary to…

Computational Physics · Physics 2020-10-19 Ole H. H. Meyer , Karl Yngve Lervåg , Åsmund Ervik

Charged systems interacting via Coulomb forces can be efficiently simulated by introducing a local, diffusing degree of freedom for the electric field. This paper formulates the continuum electrodynamic equations corresponding to the…

Statistical Mechanics · Physics 2009-11-07 A. C. Maggs

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

Transport properties of concentrated electrolytes have been analyzed using classical molecular dynamics simulations with the algorithms and parameters typical of simulations describing complex electrokinetic phenomena. The electrical…

Materials Science · Physics 2015-03-17 Carles Calero , Jordi Faraudo , Marcel Aguilella-Arzo