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| Description
| - We present a macroscopic model of the fluid diffusion in deformable porous media, motivated by diffusion-deformation phenomena influencing the heart muscle blood perfusion, or the mechanical properties of kidneys. The problems are described by the displacement field and by several fluid pressure fields associated with parallel porosities interpenetrating the material matrix and mutually separated by interface sectors. The model consists of the equilibrium equation, and a number of mass conservation equations, each incorporating the Darcy law of fluid diffusion. The steady state problem attains the form of the Barenblatt model of parallel flows, while, in the non-steady regime, the coupled diffusion and deformation phenomena induce the apparent viscoelastic behaviour of the bulk material. Numerical examples are given to illustrate some features of the finite element model.
- We present a macroscopic model of the fluid diffusion in deformable porous media, motivated by diffusion-deformation phenomena influencing the heart muscle blood perfusion, or the mechanical properties of kidneys. The problems are described by the displacement field and by several fluid pressure fields associated with parallel porosities interpenetrating the material matrix and mutually separated by interface sectors. The model consists of the equilibrium equation, and a number of mass conservation equations, each incorporating the Darcy law of fluid diffusion. The steady state problem attains the form of the Barenblatt model of parallel flows, while, in the non-steady regime, the coupled diffusion and deformation phenomena induce the apparent viscoelastic behaviour of the bulk material. Numerical examples are given to illustrate some features of the finite element model. (en)
- Představujeme makroskopický model difuze tekutiny deformovatelným porézním médiem, motivovaný deformačně-difuzními jevy ovlivňujícími perfuzi krve v srdečním svalu, nebo mechanické vlastnosti ledvin. Problémy jsou popisovány polem posuvů a několika poli tlaků kapaliny spojenými s paralelními porozitami pronikajícími matrici materiálu a navzájem oddělenými přechodovými sektory. Model se skládá z rovnice rovnováhy a několika rovnic zachování hmotnosti, z nichž každá zahrnuje Darcyho zákon proudění. Ustálený problém nabývá formy Barenblattova modelu paralelních toků, zatímco v nestacionárním režimu spojené difuzní a deformační jevy způsobují zjevné viskoelastické chování materiálu. Pro (cs)
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| Title
| - On modelling the parallel diffusion flow in deforming porous media
- On modelling the parallel diffusion flow in deforming porous media (en)
- Modelování paralelní difuze v deformujícím se porézním médiu (cs)
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| skos:prefLabel
| - On modelling the parallel diffusion flow in deforming porous media
- On modelling the parallel diffusion flow in deforming porous media (en)
- Modelování paralelní difuze v deformujícím se porézním médiu (cs)
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| skos:notation
| - RIV/49777513:23640/07:00000026!RIV08-MSM-23640___
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| http://linked.open.../vavai/riv/strany
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
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| http://linked.open...iv/cisloPeriodika
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23640/07:00000026
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - Parallel diffusion; Heart modelling; Kidney modelling; Darcy flow (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...odStatuVydavatele
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/nazevZdroje
| - Mathematics and Computers in Simulation
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...UplatneniVysledku
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| http://linked.open...iv/tvurceVysledku
| - Rohan, Eduard
- Cimrman, Robert
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| http://linked.open...n/vavai/riv/zamer
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| issn
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| number of pages
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| http://localhost/t...ganizacniJednotka
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| is http://linked.open...avai/riv/vysledek
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