Estimating the interfacial permeability for flow into a poroelastic medium

Abstract

Streamlines of flow into a pore-scale model for a hydrogel, with colors indicating the velocity magnitude (red means larger). The entry pressure drop provides an estimation of the interfacial permeability.

A theory of hydrogel mechanics that couples swelling and external flow

“…Their general function forms require a detailed pore-scale study. 68 In this paper, we take Z and b to be constants in eqn ( 21) and ( 22) for simplicity.…”

“…Our model prediction at Z = 10 runs through the band of the experimental data, offering a satisfactory fit given the degree of scatter in the data. The value Z = 10, according to earlier estimations, 68 is representative of the low-porosity hydrogels in the experiment. Therefore, in the limit of no external flow, our model captures the swelling dynamics of a gel layer in a quiescent solvent.…”