Fluid flow beneath a semipermeable membrane during drying processes.
Fluid flow beneath a semipermeable membrane during drying processes.
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干燥过程中流体在半透膜下方流动。
DOI：
10.1103/physreve.85.016330
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Davis,StephenH
中科院分区：
文献类型：
--
作者：
Blount,MauriceJ;Miksis,MichaelJ;Davis,StephenH
在干燥过程的背景下，半透膜和它下面的长而薄的液体层之间的动态相互作用进行了研究。该膜分离两种糖的水溶液，并且水穿过膜的运输是由穿过它的浓度和压力梯度驱动的。使用长波近似来制定模型，该模型包括由于水穿过膜的运输引起的体积损失的影响，膜的不可压缩性和弯曲刚度，以及由于流体流动产生的粘性应力而产生的动力学效应。该模型首先被应用于研究固定在刚性基底上的无柄囊泡的干燥，然后也被应用于研究层压基底上的水泡的行为。对于每一个问题，平衡膜的形状得到和他们的分叉结构被描述为膜上的糖浓度是不同的。它表明，褶皱的膜变粗，以减少皱纹的频率，如果膜被夹紧对称，使其满足在一个非零角度的基板，那么膜有利于一个不对称的形状，因为水被抽出通过它。
The dynamic interactions between a semipermeable membrane and a long, thin layer of liquid beneath it are investigated in the context of drying processes. The membrane separates two aqueous solutions of sugar, and the transport of water across the membrane is driven by concentration and pressure gradients across it. A model is formulated using a long-wave approximation that includes the effects of volume loss due to water transport across the membrane, the incompressibility and bending stiffness of the membrane, and the dynamical effects that arise owing to the viscous stresses generated by the fluid flow. This model is first applied to study the desiccation of a sessile vesicle that is clamped to a rigid substrate and then also to study the behavior of blisters on laminated substrates. For each problem, equilibrium membrane shapes are obtained and their bifurcation structures are described as the sugar concentration above the membrane is varied. It is demonstrated that a wrinkled membrane coarsens to lessen the frequency of wrinkles and that if the membrane is clamped symmetrically so that it meets the substrate at a nonzero angle, then the membrane favors an asymmetric shape as water is drawn out through it.