Modeling of fluid diffusion in layers with double porosity using homogenization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503909" target="_blank" >RIV/49777513:23520/10:00503909 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Modeling of fluid diffusion in layers with double porosity using homogenization

Popis výsledku v původním jazyce

The paper deals with the perfusion in hierarchically arranged double porous media constituted by transversely periodic layers. In each layer the reference periodic cell is composed of several compartments comprising the matrix, featured by permeability decreasing with the scale parameter, and several disconnected channels where the permeability is scale independent. Homogenization of the steady Darcy flow in such medium is performed by the method of periodic unfolding. The limit model involves the homogenized permeabilities associated with the channels and the transmission and drainage coefficients associated with the mass redistribution between the microstructural compartments. The diffusion problem in 3D heterogeneous body can be replaced by a finitenumber of 2D problems describing the homogenized fluid redistribution in each homogenized layer. For such decomposition, coupling conditions governing the fluid exchange between the layers can be derived.

Název v anglickém jazyce

Modeling of fluid diffusion in layers with double porosity using homogenization

Popis výsledku anglicky

The paper deals with the perfusion in hierarchically arranged double porous media constituted by transversely periodic layers. In each layer the reference periodic cell is composed of several compartments comprising the matrix, featured by permeability decreasing with the scale parameter, and several disconnected channels where the permeability is scale independent. Homogenization of the steady Darcy flow in such medium is performed by the method of periodic unfolding. The limit model involves the homogenized permeabilities associated with the channels and the transmission and drainage coefficients associated with the mass redistribution between the microstructural compartments. The diffusion problem in 3D heterogeneous body can be replaced by a finitenumber of 2D problems describing the homogenized fluid redistribution in each homogenized layer. For such decomposition, coupling conditions governing the fluid exchange between the layers can be derived.

Druh

O - Ostatní výsledky

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

<a href="/cs/project/GA106%2F09%2F0740" target="_blank" >GA106/09/0740: Mikrostrukturálně orientované hierarchické modelování prokrvení mozku pro vyhodnocení CT perfúzního vyšetření</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

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