锥形纳米孔内的电压整流及流体流动

文章以生物纳米通道及纳米孔中的离子传输及化学反应为背景,以离子流整流、电渗流整流、离子积累耗散模型为理论基础,使用有限元数值计算方法研究压力及电场交互作用下的锥形纳米孔孔内离子浓度分布及速度场分布现象.分析了不同电压下压力和电场的交互作用对锥形纳米孔中速度场、流场及浓度分布的影响.结果表明纳米孔孔内氢离子运动方向主要受电场方向影响.由于静电吸附效应,沿着孔壁流动的电渗流中的氢离子浓度会高于体溶液中的氢离子浓度.当电压较小时,流场方向主要受压力流的影响,当电压较大时,流场流动方向由电渗流带动的流体流动和压力驱动的流体流动共同决定.      

受限钠盐水溶液孔外结晶现象

多孔材料内含盐水溶液中离子的析出结晶是造成多孔结构破坏的重要因素, 因此在建筑保护和地貌学研究中受到了极大关注. 现有研究主要集中于微孔介质中盐的孔内结晶行为. 本文对比研究了限制于纳孔硅胶颗粒孔隙内的NaCl, NaNO₃, Na₂SO₄三种盐溶液在蒸发过程中盐的孔外结晶行为. 利用扫描电子显微镜对所形成晶体的形貌进行了表征. 实验结果表明: 1) 随孔径从2 nm增加至15 nm, NaCl和NaNO₃在硅胶颗粒表面的结晶由晶粒转变为晶须形态, 而Na₂SO₄则由晶须转变为晶粒形态; 2) NaCl和NaNO₃晶须的生长主要沿垂直于颗粒表面的方向, 而Na₂SO₄晶须则在硅胶颗粒表面斜向生长, 后一种生长方式对硅胶颗粒产生横向的应力, 从而对孔结构具有更强的破坏作用; 3) NaNO₃的细长晶须所具有的分支和珠链结构表明其在结晶过程中发生了Plateau-Rayleigh失稳.     

超临界CO_2在岩石孔隙内流动状态的分子模拟

本文采用分子模拟的方法研究了地质封存条件下超临界CO_2在镁橄榄石孔隙内的流动,分析了孔隙尺寸、温度、压强对超临界CO_2的密度分布和流动速度的影响.研究结果表明,只有当孔隙尺寸大于5.0 nm时,超临界CO_2分子在岩石孔隙内的流动才符合Poiseuille流动;同时,超临界CO_2分子在岩石近壁面存在1.5 nm的密度震荡,当孔隙尺寸小于15 nm时,密度振荡现象会影响CO_2分子在岩石孔隙内的平均密度;升高温度、降低压强的方法可以减小密度震荡的第一峰值,减弱岩石壁面与CO_2的相互作用,使得CO_2的流动速度增加.     

相变材料微胶囊流体相变化过程流体内部流态的变化

相变材料是一种石蜡混合物,其主要成分为C_(19)H_(40),以该潜热相变材料作为芯物质,树脂为囊壁材料,制备成的微纳米胶囊流体。将其填充在水平矩形密闭容器内,在下表面加热,上表面冷却,其余各表面绝热的条件下,相变材料在发生相变化过程,对流体内部流动状态及温度分布进行了理论分析,并考察了不含有相变材料流体与含有相变材料的流体流动过程的差别.结果表明:相变化过程,降低了流体流动的速度,加大了流体在冷热板附近的温度梯度;矩形容器高度的增加,流体内部形成的涡数减少,对流越容易发生;热板温度的增加,在冷热板附近产生的温度梯度增加;流体质量浓度的增加,流体流速降低。     

粗糙度对大高宽比槽道内流动影响的数值模拟

基于确定表面粗糙结构形状的PML模型模拟表面粗糙度对大高宽比小槽道内流动特性的影响,并与3-D模拟结果对比,结果较为一致.基于该模型对不同的流速和不同的粗糙度进行模拟,结果表明:表面粗糙度导致槽道内出现速度线性分布的流动底层.Re数相同时,单位长度压降与相对粗糙度成二次方关系.粗糙单元高度相同时,压降随Re线性增加.     

纳米尺度下流体剪切流动的分子动力学模拟

利用分子动力学方法模拟流体在两无限大平板间剪切流动过程。研究通道内加入不同体积分数纳米颗粒、体积分数相同纳米颗粒数目不同以及剪切速度对流体密度、速度以及界面滑移的影响。结果表明:近壁区流体数密度呈衰减振荡分布,由近壁区到主流区振幅逐渐减小,颗粒和流体的整体数密度在中心主流区呈抛物线分布。流体剪切应变率随颗粒体积分数的增加逐渐减小,同时剪切应变率和滑移速度之间呈近似线性分布。体积分数相同颗粒数目不同,颗粒在运动过程中呈线,性排列时,剪切应变率最大。随剪切速度的增加,流体滑移速度和滑移长度随之增大,但滑移长度增加量相对较小。     

纳米孔隙内混合气体流动特性的分子动力学模拟

纳米孔隙内气体流动的理论预测对气体微流控器件的设计和制造具有重要的理论指导作用,文章采用分子动力学方法研究了氮气、氧气和二氧化碳混合气体在平行壁纳米孔隙内的剪切流动特性和边界滑移特性.研究结果表明:随着加入二氧化碳比例的不断增加,混合气体滑移速度不断增大,并且当二氧化碳的比例低于20%时,混合气体流动速度沿孔隙宽度方向呈线性分布;而当比例达到40%后,其速度轮廓将呈现非线性趋势.当二氧化碳所占比例为20%时,随着孔隙宽度的增加,混合气体的整体边界滑移随之减小.探究了混合气体密度和气-固耦合强度对混合气体流动及边界滑移的影响机理.发现随着混合气体密度的减小,气流边界滑移增大;随着气-固界面耦合强度的增强,边界气体分子易被吸附而出现黏滑运动,气体分子在边界处的积聚现象增强,剪切应变率增大,边界滑移减小.      

球状胶束中表面活性剂脱附的离子调控机制

建立耦合伞状采样的粗粒度分子动力学方法,研究球状胶束中表面活性剂分子的脱附过程,揭示表面活性剂聚集数、盐种类及浓度对表面活性剂脱附过程的影响机制。发现球状胶束半径及偏心率均随聚集数增加而增大,盐浓度的影响主要取决于抗衡离子的半径和吸附特性,半径更大、吸附更强的水杨酸根离子对胶束结构的影响更为显著;基于伞状采样方法获得了表面活性剂脱附自由能、脱附时间等关键参数,发现球状胶束中表面活性剂脱附自由能和脱附时间均随聚集数和盐浓度呈非单调变化,揭示其主要机制为离子吸附引起的静电屏蔽作用;发现自由能在表面活性剂脱附过程中起主导作用,结合胶束热力学理论发展了临界胶束浓度预测方法,获得了临界胶束浓度下胶束尺寸的分布范围。     

He+等离子体辐照下钨丝表面He通量分布的数值模拟

在He等离子体辐照条件下,钨纳米丝的形成对材料的抗辐照性能及钨丝间隙内He的分布产生显著影响。根据钨丝层中He离子的碰撞过程,建立了He⁺辐照下钨纳米丝表面He通量分布的模型。研究表明钨丝表面He通量随着深度的增大而减小,在深度3.3μm处,钨丝表面He通量是表层的百分之一。钨丝表面He通量随着注入离子通量的增加呈线性增长,但是与注入离子的能量几乎无关。钨丝层厚度越大,钨丝表面He通量越小;随着钨丝半径的增大,钨丝表层的He通量会明显增大。     

非对称纳米通道内流体流动与传热的分子动力学

采用分子动力学方法研究了流体在非对称浸润性粗糙纳米通道内的流动与传热过程,分析了两侧壁面浸润性不对称对流体速度滑移和温度阶跃的影响,以及非对称浸润性组合对流体内部热量传递的影响.研究结果表明,纳米通道主流区域的流体速度在外力作用下呈抛物线分布,但是纳米通道上下壁面浸润性不对称导致速度分布不呈中心对称,同时通道壁面的纳米结构也会限制流体的流动.流体在流动过程中产生黏性耗散,使流体温度升高.增强冷壁面的疏水性对近热壁面区域的流体速度几乎没有影响,滑移速度和滑移长度基本不变,始终为锁定边界,但是会导致近冷壁面区域的流体速度逐渐增大,对应的滑移速度和滑移长度随之增大.此时,近冷壁面区域的流体温度逐渐超过近热壁面区域的流体温度,流体出现反转温度分布,流体内部热流逆向传递.随着两侧壁面浸润性不对称程度增加,流体反转温度分布更加明显.     

Density functional theory study on ion adsorption and electroosmotic flow in a membrane with charged cylindrical pores†

ABSTRACT

Ion adsorption and electroosmotic flow induced by an external electric field have a variety of practical applications, especially for membrane technology. In this work, a partially perturbative density functional theory (DFT) based on the modified fundamental measure theory was applied to investigate the ion density distributions and partitions in a charged cylindrical pore. Different types of electrolyte solutions, including both charge symmetric and asymmetric, were examined using the proposed theory with various pore diameters, bulk densities, ion valencies and surface charge densities. The ion concentration profiles calculated with the theory exhibit good agreements with the results of the Monte Carlo simulations, while the results of the Poisson–Boltzmann equation deviate greatly especially for the high valence electrolytes in narrow cylindrical pores. Some interesting phenomena discovered in both experiments and simulations, such as the reverse distribution of the ions and charge inversion, can be well reproduced with the DFT. Based on the ion concentration distributions obtained from the DFT, the transient velocity profiles of the electroosmotic flow in the charged cylindrical nanopores were calculated with the Navier–Stokes (NS) equation. The characteristics of the electroosmotic flow were discussed under the different bulk electrolyte concentrations and thickness of the electric double layer inside the nanopore. The enhancement of the velocity near the pore wall, which cannot be described by the traditional theory, was well characterised by the DFT combined with the NS equation.     

Water Transport through Multinanopores Membranes

We investigate the influence of correlation between water molecules transport through the neighbouring nanopores, whose centres are at a distance of only 6.2A, using the molecular dynamics simulations. Water molecule distribution in nanopore and average water flow are obtained. It is found that the average water molecule number and water flow are slightly different between a system made of the neighbouring nanopores and a system of a single pore. This indicates that transport of water chains in neighbouring pores do no show significant influence each other. These findings should be helpful in designing efficient artificial membrane made of nanopores and providing an insight into effects of the biological channel structure on the water permeation.     

二维斜面粗糙边界附近颗粒流量密度分布

以往的实验研究中，已经知道粗糙边界条件下，二维颗粒流的颗粒流量是以通道中心横向对称分布的，颗粒流横向分布既受通道宽度的影响，同时也受通道斜面倾斜角的影响，而且颗粒在通道两侧的分布明显少于通道中间. 主要研究粗糙边界附近颗粒分布随通道宽度以及通道斜面倾斜角的变化规律. 在稀疏流状态以及保持边界墙体的粗糙度不变的条件下，对应不同通道宽度，粗糙边界附近10d范围内的颗粒流量密度(ξ=ρv)随斜面倾斜角的增大而减小，颗粒流量密度随通道宽度的变化存在一临界宽度Wc；在通道宽度小于Wc时，粗糙墙体附近10d范围内颗粒流量密度ξ随sinθ呈指数衰减，通道宽度大于Wc时，颗粒流量密度ξ_sinθ曲线随θ增大几乎呈线性减小. 关键词： 二维颗粒流 颗粒物质 颗粒流量密度     

Probing nanotube-nanopore interactions

We demonstrate a new nanoscale system consisting of a nanotube threaded through a nanopore in aqueous solution. Its electrical and mechanical properties are sensitive to experimentally controllable conformational changes on sub-Angstrom length scales. Ionic current transport through a nanopore is significantly suppressed by the threading nanotube and the mechanical interactions between the nanotube and pore are accounted for by a folding geometry. The experiments provide first measurements of the longitudinal resolution and metrology of a solid-state nanopore "microscope." This new nanostructure provides a means to study molecule-nanotube interactions in conducting ionic solutions as well as geometrical and surface properties of nanopores and nanotubes.     

Poisson-Fokker-Planck model for biomolecules translocation through nanopore driven by electroosmotic flow

A non-continuous electroosmotic flow model (PFP model) is built based on Poisson equation, Fokker-Planck equation and Navier-Stokse equation, and used to predict the DNA molecule translocation through nanopore. PFP model discards the continuum assumption of ion translocation and considers ions as discrete particles. In addition, this model includes the contributions of Coulomb electrostatic potential between ions, Brownian motion of ions and viscous friction to ion transportation. No ionic diffusion coefficient and other phenomenological parameters are needed in the PFP model. It is worth noting that the PFP model can describe non-equilibrium electroosmotic transportation of ions in a channel of a size comparable with the mean free path of ion. A modified clustering method is proposed for the numerical solution of PFP model, and ion current translocation through nanopore with a radius of 1 nm is simulated using the modified clustering method. The external electric field, wall charge density of nanopore, surface charge density of DNA, as well as ion average number density, influence the electroosmotic velocity profile of electrolyte solution, the velocity of DNA translocation through nanopore and ion current blockade. Results show that the ion average number density of electrolyte and surface charge density of nanopore have a significant effect on the translocation velocity of DNA and the ion current blockade. The translocation velocity of DNA is proportional to the surface charge density of nanopore, and is inversely proportional to ion average number density of electrolyte solution. Thus, the translocation velocity of DNAs can be controlled to improve the accuracy of sequencing by adjusting the external electric field, ion average number density of electrolyte and surface charge density of nanopore. Ion current decreases when the ion average number density is larger than the critical value and increases when the ion average number density is lower than the critical value. Our numerical simulation shows that the translocation velocity of DNA given by the PFP model agrees with the experimental, results better than that given by PNP model or PB model.     

Asymmetric diffusion through synthetic nanopores

We show that diffusion currents for a membrane containing a single conical nanopore with a fixed surface charge and small enough opening diameter depend on the concentration gradient direction. We interpret the results based on the effect of salt concentration on the thickness of the electrical double layer within the nanopore associated with the nanopore's surface charge and the distribution of electric fields inside the pore. The experimental observations are described by a diffusional model based on the Smoluchowski-Nernst-Planck equation.     

Water and Ion Permeation through Electrically Charged Nanopore

The behaviour of water and small solutes in confined geometries is important to a variety of chemical and nanofluidic applications. Here we investigate the permeation and distribution of water and ions in electrically charged carbon cylindrical nanopore during the osmotic process using molecular dynamics simulations. In the simulations, charges are distributed uniformly on the pores with diameter of 0.9 nm. For nanopores with no charge or a low charge, ions are difficult to enter. With the increasing of charge densities on the pores, ions will appear inside the nanopores because of the large electronic forces between the ions and the charged pores. Different ion entries induce varying effects on osmotic water flow. Our simulations reveal that the osmotic water can flow through the negatively charged pore occupied by K^＋ ions, while water flux through the positively charged pores will be disrupted by Cl^- ions inside the pores. This may be explained by the different radial distributions of K^＋ ions and Cl^- ions inside the charged nanopores.     

Stick-slip transition at the nanometer scale

We report the first observation of a stick-slip transition of surfactant solution flow through nanopores. From the experimental data, we were able to determine both the slip length and the critical wall shear stress from which slip occurs. Whereas the latter is found to increase linearly with the concentration, the former remains constant and approximately equal to 20 nm over the studied range of concentrations. We model slip to occur in the surfactant bilayer adsorbed at the nanopore wall. The stick-slip transition is then related to a reorganization of the surfactant bilayer from an entangled structure into independent layers flowing past one another, as evidenced by independent surface plasmon resonance experiments. We conclude from our analysis that surfactant solutions are always slipping in larger tubes. However, the larger the tube diameter, the smaller the relative slip contribution to the total flow.     

边界条件对二维斜面颗粒流颗粒分布的影响

实验研究了粗糙边界条件、不同通道宽度以及不同斜面倾斜角下二维颗粒流的颗粒分布 ，发现颗粒流在稀疏流状态下尽管在现象上表现出类似流体的性质，但由于颗粒流系统的能 量耗散,所以颗粒流的速度和密度分布和牛顿流体完全不同，颗粒流在通道中的分布既受通 道宽度的影响同时也受重力场的影响，颗粒在通道中以通道中轴线呈对称分布，通道两侧的 颗粒密度明显高于通道中间，由于通道中颗粒受剪切力的作用，导致颗粒在通道中的密度分 布的变化，通道边界粗糙度明显影响着颗粒流横向分布. 关键词： 二维颗粒流 颗粒物质 稀疏流