Issue 37, 2024

Estimating the interfacial permeability for flow into a poroelastic medium

Abstract

Boundary conditions between a porous solid and a fluid has been a long-standing problem in modeling porous media. For deformable poroelastic materials such as hydrogels, the question is further complicated by the elastic stress from the solid network. Recently, an interfacial permeability condition has been developed from the principle of positive energy dissipation on the hydrogel–fluid interface. Although this boundary condition has been used in flow computations and yielded reasonable predictions, it contains an interfacial permeability η as a phenomenological parameter. In this work, we use pore-scale models of flow into a periodic array of solid cylinders or parallel holes to determine η as a function of the pore size and porosity. This provides a means to evaluate the interfacial permeability for a wide range of poroelastic materials, including hydrogels, foams and biological tissues, to enable realistic flow simulations.

Graphical abstract: Estimating the interfacial permeability for flow into a poroelastic medium

Article information

Article type
Communication
Submitted
23 apr 2024
Accepted
20 iyn 2024
First published
21 iyn 2024

Soft Matter, 2024,20, 7357-7361

Estimating the interfacial permeability for flow into a poroelastic medium

Z. Xu, P. Yue and J. J. Feng, Soft Matter, 2024, 20, 7357 DOI: 10.1039/D4SM00476K

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