Mathematical Model of Freezing in a Porous Medium at Micro-Scale

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00319345" target="_blank" >RIV/68407700:21340/18:00319345 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.4208/cicp.OA-2017-0082" target="_blank" >https://doi.org/10.4208/cicp.OA-2017-0082</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4208/cicp.OA-2017-0082" target="_blank" >10.4208/cicp.OA-2017-0082</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical Model of Freezing in a Porous Medium at Micro-Scale

Popis výsledku v původním jazyce

We present a micro-scale model describing the dynamics of pore water phase transition and associated mechanical effects within water-saturated soil subjected to freezing conditions. Since mechanical manifestations in areas subjected to either sea- sonal soil freezing and thawing or climate change induced thawing of permanently frozen land may have severe impacts on infrastructures present, further research on this topic is timely and warranted. We believe that analysis of ice formation, which incorporates the multiphysics of the phase and structure changes at the micro-scale, is needed. For better understanding the process of soil freezing and thawing at the field-scale, consequent upscaling may help improve our understanding of the phenomenon at the macro-scale. In an effort to investigate the effect of the pore water density change during the prop- agation of the phase transition front within cooled soil material, we have designed a 2D continuum micro-scale model which describes the solid phase in terms of a heat and momentum balance and the fluid phase in terms of a modified heat equation that accounts for the phase transition of the pore water and a momentum conservation equation for Newtonian fluid. This model provides the information on force acting on a single soil grain induced by the gradual phase transition of the surrounding medium within a nontrivial (i.e. curved) pore geometry. Solutions obtained by this model show expected thermal evolution but indicate a non-trivial structural behavior.

Název v anglickém jazyce

Mathematical Model of Freezing in a Porous Medium at Micro-Scale

Popis výsledku anglicky

We present a micro-scale model describing the dynamics of pore water phase transition and associated mechanical effects within water-saturated soil subjected to freezing conditions. Since mechanical manifestations in areas subjected to either sea- sonal soil freezing and thawing or climate change induced thawing of permanently frozen land may have severe impacts on infrastructures present, further research on this topic is timely and warranted. We believe that analysis of ice formation, which incorporates the multiphysics of the phase and structure changes at the micro-scale, is needed. For better understanding the process of soil freezing and thawing at the field-scale, consequent upscaling may help improve our understanding of the phenomenon at the macro-scale. In an effort to investigate the effect of the pore water density change during the prop- agation of the phase transition front within cooled soil material, we have designed a 2D continuum micro-scale model which describes the solid phase in terms of a heat and momentum balance and the fluid phase in terms of a modified heat equation that accounts for the phase transition of the pore water and a momentum conservation equation for Newtonian fluid. This model provides the information on force acting on a single soil grain induced by the gradual phase transition of the surrounding medium within a nontrivial (i.e. curved) pore geometry. Solutions obtained by this model show expected thermal evolution but indicate a non-trivial structural behavior.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

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

2018

Kód důvěrnosti údajů

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

Název periodika

Communications in Computational Physics

ISSN

1815-2406

e-ISSN

1991-7120

Svazek periodika

24

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CN - Čínská lidová republika

Počet stran výsledku

19

Strana od-do

557-575

Kód UT WoS článku

000455954900011

EID výsledku v databázi Scopus

2-s2.0-85058968376