The Darcy-Forchheimer law for modelling fluid flow in biological tissues
Theoretical and applied mechanics, Tome 41 (2014) no. 4, p. 283
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The motion of the interstitial fluid of a biological tissue is studied by employing the Darcy-Forchheimer law, a correction to standard Darcy's law. The tissue is modelled as a saturated biphasic medium comprising the fluid and a deformable matrix. The reason for undertaking this study is that a description of the tissue's dynamics based on the Darcy-Forchheimer law might be more complete than the one based on Darcy's law, since the former provides a better macroscopic representation of the microscopic fluid-solid interactions. Through numerical simulations, we analyse the influence of the Forchheimer's correction.
Classification :
74B20 74D10
Keywords: Biological Tissues, Porous Media, Darcy-Forchheimer Law.
Keywords: Biological Tissues, Porous Media, Darcy-Forchheimer Law.
@article{10_2298_TAM1404281G,
author = {Alfio Grillo and Melania Carfagna and Salvatore Federico},
title = {The {Darcy-Forchheimer} law for modelling fluid flow in biological tissues},
journal = {Theoretical and applied mechanics},
pages = {283 },
year = {2014},
volume = {41},
number = {4},
doi = {10.2298/TAM1404281G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1404281G/}
}
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%0 Journal Article %A Alfio Grillo %A Melania Carfagna %A Salvatore Federico %T The Darcy-Forchheimer law for modelling fluid flow in biological tissues %J Theoretical and applied mechanics %D 2014 %P 283 %V 41 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2298/TAM1404281G/ %R 10.2298/TAM1404281G %G en %F 10_2298_TAM1404281G
Alfio Grillo; Melania Carfagna; Salvatore Federico. The Darcy-Forchheimer law for modelling fluid flow in biological tissues. Theoretical and applied mechanics, Tome 41 (2014) no. 4, p. 283 . doi: 10.2298/TAM1404281G
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