Analytical solution of the Poisson-Nernst-Planck-Stokes equations in a cylindrical channel

被引：24

作者：

Berg, Peter ^{[1
]}

Findlay, Justin ^{[1
]}

机构：

[1] Univ Ontario, Fac Sci, Inst Technol, Oshawa, ON L1H 7K4, Canada

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2011年 / 467卷 / 2135期

关键词：

Poisson-Nernst-Planck equations; Stokes flow; analytical solution; cylindrical channel; polymer electrolyte membranes; POLYMER ELECTROLYTE MEMBRANES; DIELECTRIC SATURATION; WATER; PROTON; FLOW; TRANSPORT;

D O I：

10.1098/rspa.2011.0080

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present a complete analytical solution for electro-kinetic flow of an acidic solution in an infinite, circular, cylindrical channel. The flow of protons and water is described by Poisson-Nernst-Planck equations, coupled to Stokes flow, while negative charges, situated along the walls, maintain electro-neutrality. Several system characteristics are computed in closed form such as the velocity profile, mass flux, current and water drag. The two latter quantities allow for a comparison of analytical results with experimental data of systems such as polymer electrolyte membranes.

引用

页码：3157 / 3169

页数：13

共 17 条

[1]

[Anonymous], ELECTRODIFFUSION ION

[2] Exact solution of an electro-osmotic flow problem in a cylindrical channel of polymer electrolyte membranes [J].

Berg, Peter ;

Ladipo, Kehinde .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2109) :2663-2679

[3] Proton transfer in a single pore of a polymer electrolyte membrane [J].

Eikerling, M ;

Kornyshev, AA .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2001, 502 (1-2) :1-14

[4] Mechanisms of proton conductance in polymer electrolyte membranes [J].

Eikerling, M ;

Kornyshev, AA ;

Kuznetsov, AM ;

Ulstrup, J ;

Walbran, S .

JOURNAL OF PHYSICAL CHEMISTRY B, 2001, 105 (17) :3646-3662

[5] Poroelectroelastic theory of water sorption and swelling in polymer electrolyte membranes [J].

Eikerling, Michael H. ;

Berg, Peter .

SOFT MATTER, 2011, 7 (13) :5976-5990

[6] Electroosmotic flow through polymer electrolyte membranes in PEM fuel cells [J].

Karimi, G ;

Li, X .

JOURNAL OF POWER SOURCES, 2005, 140 (01) :1-11

[7] Effects of radially dependent parameters on proton transport in polymer electrolyte membrane nanopores [J].

Ladipo, Kehinde O. ;

Berg, Peter ;

Kimmerle, Sven-Joachim ;

Novruzi, Arian .

JOURNAL OF CHEMICAL PHYSICS, 2011, 134 (07)

[8] High frequency dielectric studies of hydrated Nafion® [J].

Paddison, SJ ;

Reagor, DW ;

Zawodzinski, TA .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1998, 459 (01) :91-97

[9]

Paddison SJ, 2000, J NEW MAT ELECTR SYS, V3, P291

[10] A statistical mechanical model of proton and water transport in a proton exchange membrane [J].

Paddison, SJ ;

Paul, R ;

Zawodzinski, TA .

JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 2000, 147 (02) :617-626

← 1 2 →