The Darcy-Forchheimer law for modelling fluid flow in biological tissues | Zendy

Alfio Grillo | Zendy; Melania Carfagnay | Zendy; Salvatore Federicoz | Zendy

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The Darcy-Forchheimer law for modelling fluid flow in biological tissues

Author(s) -

Alfio Grillo,

Melania Carfagnay,

Salvatore Federicoz

Publication year - 2014

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1404281g

Subject(s) - darcy's law , fluid dynamics , mechanics , tissue fluid , flow (mathematics) , darcy–weisbach equation , law , porous medium , physics , geology , medicine , anatomy , geotechnical engineering , porosity , political science

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 correctio

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