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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2019

Confidentiality

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

Name of the periodical

COMPUTERS &amp; MATHEMATICS WITH APPLICATIONS

ISSN

0898-1221

e-ISSN

—

Volume of the periodical

78

Issue of the periodical within the volume

9

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

25

Pages from-to

3211-3235

UT code for WoS article

000491624900026

EID of the result in the Scopus database

2-s2.0-85067282401