Abstract
We report an experimental investigation of pressure-driven flow of a viscous liquid across thin polydimethylsiloxane (PDMS) membranes. Our experiments revealed a nonlinear relation between the flow rate and the applied pressure drop, in apparent disagreement with Darcy's law, which dictates a linear relationship between flow rate, or average velocity, and pressure drop. These observations suggest that the effective permeability of the membrane decreases with pressure due to deformation of the nanochannels in the PDMS polymeric network. We propose a model that incorporates the effects of pressure-induced deformation of the hyperelastic porous membrane at three distinct scales: the membrane surface area, which increases with pressure, the membrane thickness, which decreases with pressure, and the structure of the porous material, which is deformed at the nanoscale. With this model, we are able to rationalize the deviation between Darcy's law and the data. Our result represents a novel case in which macroscopic deformations can impact the microstructure and transport properties of soft materials.
| Original language | English |
|---|---|
| Journal | Journal of Fluid Mechanics |
| Volume | 871 |
| Pages (from-to) | 742-754 |
| Number of pages | 13 |
| ISSN | 0022-1120 |
| DOIs | |
| Publication status | Published - 2019 |
Keywords
- Microfluidics
- Porous media
Cite this
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Pressure-driven flow across a hyperelastic porous membrane. / Song, Ryungeun; Stone, Howard A.; Jensen, Kaare H.; Lee, Jinkee.
In: Journal of Fluid Mechanics, Vol. 871, 2019, p. 742-754.Research output: Contribution to journal › Journal article › Research › peer-review
TY - JOUR
T1 - Pressure-driven flow across a hyperelastic porous membrane
AU - Song, Ryungeun
AU - Stone, Howard A.
AU - Jensen, Kaare H.
AU - Lee, Jinkee
PY - 2019
Y1 - 2019
N2 - We report an experimental investigation of pressure-driven flow of a viscous liquid across thin polydimethylsiloxane (PDMS) membranes. Our experiments revealed a nonlinear relation between the flow rate and the applied pressure drop, in apparent disagreement with Darcy's law, which dictates a linear relationship between flow rate, or average velocity, and pressure drop. These observations suggest that the effective permeability of the membrane decreases with pressure due to deformation of the nanochannels in the PDMS polymeric network. We propose a model that incorporates the effects of pressure-induced deformation of the hyperelastic porous membrane at three distinct scales: the membrane surface area, which increases with pressure, the membrane thickness, which decreases with pressure, and the structure of the porous material, which is deformed at the nanoscale. With this model, we are able to rationalize the deviation between Darcy's law and the data. Our result represents a novel case in which macroscopic deformations can impact the microstructure and transport properties of soft materials.
AB - We report an experimental investigation of pressure-driven flow of a viscous liquid across thin polydimethylsiloxane (PDMS) membranes. Our experiments revealed a nonlinear relation between the flow rate and the applied pressure drop, in apparent disagreement with Darcy's law, which dictates a linear relationship between flow rate, or average velocity, and pressure drop. These observations suggest that the effective permeability of the membrane decreases with pressure due to deformation of the nanochannels in the PDMS polymeric network. We propose a model that incorporates the effects of pressure-induced deformation of the hyperelastic porous membrane at three distinct scales: the membrane surface area, which increases with pressure, the membrane thickness, which decreases with pressure, and the structure of the porous material, which is deformed at the nanoscale. With this model, we are able to rationalize the deviation between Darcy's law and the data. Our result represents a novel case in which macroscopic deformations can impact the microstructure and transport properties of soft materials.
KW - Microfluidics
KW - Porous media
U2 - 10.1017/jfm.2019.298
DO - 10.1017/jfm.2019.298
M3 - Journal article
VL - 871
SP - 742
EP - 754
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -