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    Pressure-driven flow across a hyperelastic porous membrane  
    Ryungeun Song(Sungkyunkwan University)
    USA | Journal of Fluid Mechanics
    2019.05.24 | 바로가기
    Micro-Nano-fluid dynamics, Microfluidics
    Cited by 5

    ■  View full text
    Journal of Fluid Mechanics , Volume 871 , 25 July 2019
    https://www.nature.com/articles/nature07226#Abs3


     
    ■  Researchers
    Ryungeun Song, Howard A. Stone, Kaare H. Jensen, Jinkee Lee
    Sungkyunkwan University

     

    ■  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 Q and the applied pressure drop Δp , 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.

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