Unsaturated deformable porous media flow with thermal phase transition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00481815" target="_blank" >RIV/67985840:_____/17:00481815 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S0218202517500555" target="_blank" >http://dx.doi.org/10.1142/S0218202517500555</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218202517500555" target="_blank" >10.1142/S0218202517500555</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Unsaturated deformable porous media flow with thermal phase transition

Popis výsledku v původním jazyce

In this paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in modeling liquid–solid phase transformations in groundwater flows. The system of equations is derived here from the conservation principles for mass, momentum, and energy and from the Clausius–Duhem inequality for entropy. It couples the evolution of the displacement in the matrix material, of the capillary pressure, of the absolute temperature, and of the phase fraction. Mathematical results are proved under the additional hypothesis that inertia effects and shear stresses can be neglected. For the resulting highly nonlinear system of two PDEs, one ODE and one ordinary differential inclusion with natural initial and boundary conditions, existence of global in time solutions are proved by means of cut-off techniques and suitable Moser-type estimates.

Název v anglickém jazyce

Unsaturated deformable porous media flow with thermal phase transition

Popis výsledku anglicky

In this paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in modeling liquid–solid phase transformations in groundwater flows. The system of equations is derived here from the conservation principles for mass, momentum, and energy and from the Clausius–Duhem inequality for entropy. It couples the evolution of the displacement in the matrix material, of the capillary pressure, of the absolute temperature, and of the phase fraction. Mathematical results are proved under the additional hypothesis that inertia effects and shear stresses can be neglected. For the resulting highly nonlinear system of two PDEs, one ODE and one ordinary differential inclusion with natural initial and boundary conditions, existence of global in time solutions are proved by means of cut-off techniques and suitable Moser-type estimates.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA15-12227S" target="_blank" >GA15-12227S: Analýza matematických modelů multifunkčních materiálů s hysterezí</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

e-ISSN

—

Svazek periodika

27

Číslo periodika v rámci svazku

14

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

36

Strana od-do

2675-2710

Kód UT WoS článku

000418031700003

EID výsledku v databázi Scopus

2-s2.0-85034024080