Homogenization based two-scale modelling of ionic transport in fluid saturated deformable porous media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43955556" target="_blank" >RIV/49777513:23520/19:43955556 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.camwa.2019.05.028" target="_blank" >https://doi.org/10.1016/j.camwa.2019.05.028</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2019.05.028" target="_blank" >10.1016/j.camwa.2019.05.028</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization based two-scale modelling of ionic transport in fluid saturated deformable porous media

Popis výsledku v původním jazyce

The paper deals with the homogenization and numerical modelling of deformable porous media saturated by two-component electrolytes. The model relevant to the microscopic scale describes steady states of the medium while reflecting essential physical phenomena, namely electrochemical interactions in a dilute Newtonian solvent under assumptions of a small external electrostatic field and slow flow. The homogenization is applied to a linearized micromodel, whereby the thermodynamic equilibrium represents the reference state. Due to the dimensional analysis, scaling of the viscosity and electric permittivityis introduced, so that the limit model retains the characteristic length associated with the pore size and the electric double layer thickness. The homogenized model consists of two weakly coupled parts: the steady flow of the electrolyte can be described in terms of a global pressure and streaming potentials of the two ions, independently of the solid phase deformations which are computed afterwards for the fluid stress acting on pore walls. The two-scale model has been implemented in the Sfepy finite element software. The numerical results show dependence of the homogenized coefficients on the microstructure porosity. By virtue of the corrector result of the homogenization, microscopic responses in a local representative cell can be reconstructed from the macroscopic solutions.

Název v anglickém jazyce

Homogenization based two-scale modelling of ionic transport in fluid saturated deformable porous media

Popis výsledku anglicky

The paper deals with the homogenization and numerical modelling of deformable porous media saturated by two-component electrolytes. The model relevant to the microscopic scale describes steady states of the medium while reflecting essential physical phenomena, namely electrochemical interactions in a dilute Newtonian solvent under assumptions of a small external electrostatic field and slow flow. The homogenization is applied to a linearized micromodel, whereby the thermodynamic equilibrium represents the reference state. Due to the dimensional analysis, scaling of the viscosity and electric permittivityis introduced, so that the limit model retains the characteristic length associated with the pore size and the electric double layer thickness. The homogenized model consists of two weakly coupled parts: the steady flow of the electrolyte can be described in terms of a global pressure and streaming potentials of the two ions, independently of the solid phase deformations which are computed afterwards for the fluid stress acting on pore walls. The two-scale model has been implemented in the Sfepy finite element software. The numerical results show dependence of the homogenized coefficients on the microstructure porosity. By virtue of the corrector result of the homogenization, microscopic responses in a local representative cell can be reconstructed from the macroscopic solutions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

COMPUTERS &amp; MATHEMATICS WITH APPLICATIONS

ISSN

0898-1221

e-ISSN

—

Svazek periodika

78

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

3211-3235

Kód UT WoS článku

000491624900026

EID výsledku v databázi Scopus

2-s2.0-85067282401