波动多孔膜的水动力渗透性
Hydrodynamic permeability of fluctuating porous membranes
AI总结：
本文提出波动达西模型，研究孔隙波动对多孔膜渗透性的影响，揭示基质波动显著改变流体渗透性，为膜分离优化提供新思路。
摘要：
本文研究了孔隙波动如何影响多孔基质或膜的水动力渗透性。我们引入了波动达西模型，通过达西摩擦项将纳维-斯托克斯方程与空间和时间依赖的孔隙波动耦合起来。采用微扰方法，推导并求解了用于水动力波动的杨-斯托克斯方程，将渗透性表示为基质波动谱。令人惊讶的是，该模型揭示了在波动基质中相比静态基质，流体渗透性有显著的改变。对各种基质激励模型——呼吸基质、声子、主动驱动——的应用，突显了基质波动对流体传输的重要影响，为优化用于分离应用的膜设计提供了见解。
英文摘要：
In this paper we examine how porosity fluctuations affect the hydrodynamic permeability of a porous matrix or membrane. We introduce a fluctuating Darcy model, which couples the Navier-Stokes equation to the space- and time-dependent porosity fluctuations via a Darcy friction term. Using a perturbative approach, a Dyson equation for hydrodynamic fluctuations is derived and solved to express the permeability in terms of the matrix fluctuation spectrum. Surprisingly, the model reveals strong modifications of the fluid permeability in fluctuating matrices compared to static ones. Applications to various matrix excitation models - breathing matrix, phonons, active forcing - highlight the significant influence of matrix fluctuations on fluid transport, offering insights for optimizing membrane design for separation applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
