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.

The Darcy-Forchheimer Law for Modelling Fluid Flow in Biological Tissues / Grillo, Alfio; Carfagna, Melania; Salvatore, Federico. - In: THEORETICAL AND APPLIED MECHANICS. - ISSN 1450-5584. - STAMPA. - 41:4(2014), pp. 283-322. [10.2298/TAM1404281G]

The Darcy-Forchheimer Law for Modelling Fluid Flow in Biological Tissues

GRILLO, ALFIO;CARFAGNA, MELANIA;
2014

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2597955
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