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In the present study, a discrete forcing Immersed Boundary Method (IBM) is proposed for the numerical simulation of high-speed flow problems including heat exchange. The flow field is governed by the compressible Navier-Stokes equations,…

流体动力学 · 物理学 2023-01-24 Hamza Riahi , Eric Goncalves , Marcello Meldi

The most common mathematical models for electrolyte flows are based on the dilute solution assumption, leading to a coupled system of the Nernst--Planck--Poisson drift-diffusion equations for ion transport and the Stokes resp.…

We introduce a theoretical and numerical method to investigate the properties of electro-osmotic flows under conditions of extreme confinement. The present approach, aiming to provide a simple modeling of electrolyte solutions described as…

介观与纳米尺度物理 · 物理学 2015-05-28 Simone Melchionna , Umberto Marini Bettolo Marconi

Inducing transport in electrolyte-filled nanopores with dc fields has led to influential applications ranging from nanosensors to DNA sequencing. Here we use the Poisson-Nernst-Planck and Navier-Stokes equations to show that unbiased ac…

软凝聚态物质 · 物理学 2023-01-11 Aaron D. Ratschow , Doyel Pandey , Benno Liebchen , Somnath Bhattacharyya , Steffen Hardt

The Poisson-Nernst-Planck (PNP) system is a standard model for describing ion transport. In many applications, e.g., ions in biological tissues, the presence of thin boundary layers poses both modelling and computational challenges. In this…

生物物理 · 物理学 2018-09-12 Zilong Song , Xiulei Cao , Huaxiong Huang

In this paper, we are interested in the dynamics of charged particles interacting with the incompressible viscous flow. More precisely, we consider the Vlasov-Poisson or Vlasov-Poisson-Fokker-Planck equation coupled with the incompressible…

偏微分方程分析 · 数学 2021-01-05 Young-Pil Choi , Jinwook Jung

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…

流体动力学 · 物理学 2019-10-10 Yulong Li , Dongyue Li

In this paper, a three-dimensional numerical solver is developed for suspensions of rigid and soft particles and droplets in viscoelastic and elastoviscoplastic (EVP) fluids. The presented algorithm is designed to allow for the first time…

In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Nernst-Planck equations with variable temperature, and the…

偏微分方程分析 · 数学 2020-01-24 Chia-Yu Hsieh , Tai-Chia Lin , Chun Liu , Pei Liu

Nanofluidic devices prompts unconventional ion transports appealing to energy and information technologies, thanks to the susceptibility of confined electric double layers (EDL) to various external physical fields. Although experimental…

介观与纳米尺度物理 · 物理学 2026-04-17 Zhongyuan Zhao , Chudi Qi , Yuheng Li , Shoushan Fan , Qunqing Li , Yang Wei

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…

软凝聚态物质 · 物理学 2022-03-16 Semen V. Zavarzin , Andrei L. Kolesnikov , Yury A. Budkov , Lev Yu. Barash

This paper presents a new solver developed in OpenFOAM for the modeling of lubricant in the narrow gap between two surfaces inducing hydrodynamic pressures up to few gigapascal. Cavitation is modeled using the homogeneous equilibrium model.…

计算工程、金融与科学 · 计算机科学 2024-12-18 Nicolas Delaissé , Peyman Havaej , Dieter Fauconnier , Joris Degroote

This work presents a unified fluid modeling framework for reacting flows coupled with nonthermal plasmas (NTPs). Building upon the gas-plasma kinetics solver, ChemPlasKin, and the CFD library, OpenFOAM, the integrated solver, reactPlasFOAM,…

计算物理 · 物理学 2025-08-19 Xiao Shao , Deanna A. Lacoste , Hong G. Im

Electroosmotic pumping of fluid through a nanopore that traverses an insulating membrane is considered. The density of surface charge on the membrane is assumed uniform, and sufficiently low for the Poisson-Boltzmann equation to be…

流体动力学 · 物理学 2014-05-15 M. Mao , J. D. Sherwood , S. Ghosal

A model is constructed to describe the arbitrary deformation of a drop or vesicle that contains and is embedded in an electrolyte solution, where the deformation is caused by an applied electric field. The applied field produces an…

流体动力学 · 物理学 2022-07-13 Manman Ma , Michael R. Booty , Michael Siegel

In this article, we propose and analyze a fully coupled, nonlinear, and energy-stable virtual element method (VEM) for solving the coupled Poisson-Nernst-Planck (PNP) and Navier--Stokes (NS) equations modeling microfluidic and…

数值分析 · 数学 2023-06-27 Mehdi Dehghan , Zeinab Gharibi , Ricardo Ruiz-Baier

We present a finite volume scheme for modeling the diffusion of charged particles, specifically ions, in constrained geometries using a degenerate Poisson-Nernst-Planck system with size exclusion yielding cross-diffusion. Our method…

数值分析 · 数学 2026-03-04 Clément Cancès , Maxime Herda , Annamaria Massimini

Accurately resolving the coupled momentum transfer between the liquid and solid phases of complex fluids is a fundamental problem in multiphase transport processes, such as hydraulic fracture operations. Specifically we need to characterize…

流体动力学 · 物理学 2021-12-22 Célio Fernandes , Salah Faroughi , Ricardo Ribeiro , Ana Isabel , Gareth McKinley

The Poisson-Nernst-Planck (PNP) system is a standard model for describing ion transport. In many applications, e.g., ions in biological tissues, the presence of thin boundary layers poses both modelling and computational challenges. In a…

生物物理 · 物理学 2018-06-22 Zilong Song , Xiulei Cao , Huaxiong Huang

In a cylindrical container filled with an eutectic GaInSn alloy, an electro-vortex flow (EVF) is generated by the interaction of a non-uniform current with its own magnetic field. In this paper, we investigate the EVF phenomenon numerically…

流体动力学 · 物理学 2019-10-24 K. Liu , F. Stefani , N. Weber , T. Weier , B. W. Li