Migration of ion-exchange particles driven by a uniform electric field

电动现象 电场 Zeta电位 机械 物理 边值问题 粒子(生态学) 材料科学 德拜长度 电解质 电位 经典力学 离子 纳米技术 量子力学 电压 海洋学 电极 地质学 纳米颗粒
作者
Ehud Yariv
出处
期刊:Journal of Fluid Mechanics [Cambridge University Press]
卷期号:655: 105-121 被引量:18
标识
DOI:10.1017/s0022112010000716
摘要

A cation-selective conducting particle is suspended in an electrolyte solution and is exposed to a uniformly applied electric field. The electrokinetic transport processes are described in a closed mathematical model, consisting of differential equations, representing the physical transport in the electrolyte, and boundary conditions, representing the physicochemical conditions on the particle boundary and at large distances away from it. Solving this mathematical problem would in principle provide the electrokinetic flow about the particle and its concomitant velocity relative to the otherwise quiescent fluid. Using matched asymptotic expansions, this problem is analysed in the thin-Debye-layer limit. A macroscale description is extracted, whereby effective boundary conditions represent appropriate asymptotic matching with the Debye-scale fields. This description significantly differs from that corresponding to a chemically inert particle. Thus, ion selectivity on the particle surface results in a macroscale salt concentration polarization, whereby the electric potential is rendered non-harmonic. Moreover, the uniform Dirichlet condition governing this potential on the particle surface is transformed into a non-uniform Dirichlet condition on the macroscale particle boundary. The Dukhin–Derjaguin slip formula still holds, but with a non-uniform zeta potential that depends, through the cation-exchange kinetics, upon the salt concentration and electric field distributions. For weak fields, an approximate solution is obtained as a perturbation to a reference state. The linearized solution corresponds to a uniform zeta potential; it predicts a particle velocity which is proportional to the applied field. The associated electrokinetic flow is driven by two different agents, electric field and salinity gradients, which are of comparable magnitude. Accordingly, this flow differs significantly from that occurring in electrophoresis of chemically inert particles.
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
1秒前
Rr完成签到,获得积分10
1秒前
脑洞疼应助555557采纳,获得10
3秒前
点到为止发布了新的文献求助10
3秒前
6秒前
啵噜噜噜啊完成签到,获得积分10
9秒前
OYY完成签到 ,获得积分10
9秒前
烂漫的断秋完成签到 ,获得积分10
10秒前
11秒前
11秒前
Lucas应助Livrik采纳,获得10
12秒前
cyn0762完成签到,获得积分10
12秒前
点到为止完成签到,获得积分10
13秒前
14秒前
Akim应助lll采纳,获得10
15秒前
高贵灵槐完成签到 ,获得积分10
16秒前
19秒前
wxh完成签到 ,获得积分20
19秒前
量子星尘发布了新的文献求助10
19秒前
liuzi发布了新的文献求助20
20秒前
雨过天晴完成签到,获得积分10
21秒前
花花完成签到 ,获得积分10
22秒前
23秒前
25秒前
汪汪发布了新的文献求助10
28秒前
28秒前
29秒前
32秒前
追寻筮关注了科研通微信公众号
32秒前
miaojuly发布了新的文献求助10
33秒前
充电宝应助汪汪采纳,获得10
34秒前
35秒前
涵哈哈哈哈哈完成签到 ,获得积分10
37秒前
39秒前
liuzi完成签到,获得积分10
39秒前
科目三应助油菜的星星采纳,获得10
41秒前
41秒前
41秒前
42秒前
42秒前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
ACSM’s Guidelines for Exercise Testing and Prescription, 12th edition 500
‘Unruly’ Children: Historical Fieldnotes and Learning Morality in a Taiwan Village (New Departures in Anthropology) 400
Indomethacinのヒトにおける経皮吸収 400
Phylogenetic study of the order Polydesmida (Myriapoda: Diplopoda) 370
基于可调谐半导体激光吸收光谱技术泄漏气体检测系统的研究 350
Robot-supported joining of reinforcement textiles with one-sided sewing heads 320
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 3988868
求助须知:如何正确求助?哪些是违规求助? 3531255
关于积分的说明 11253071
捐赠科研通 3269858
什么是DOI,文献DOI怎么找? 1804822
邀请新用户注册赠送积分活动 881994
科研通“疑难数据库(出版商)”最低求助积分说明 809035