Geodesic
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.
DOI : 10.2298/TAM1404281G
Classification : 74B20 74D10
Keywords: Biological Tissues, Porous Media, Darcy-Forchheimer Law. 
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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