Modeling of fluid diffusion in layers with double porosity using homogenization
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Modeling of fluid diffusion in layers with double porosity using homogenization
Original language description
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.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA106%2F09%2F0740" target="_blank" >GA106/09/0740: Microstructure oriented hierarchical modeling of brain perfusion for CT based cerebral blood flow evaluation</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů