Numerical Investigation of Nanostructure Orientation on Electroosmotic Flow
Abstract
:1. Introduction
2. Numerical Simulations
2.1. Simulation Domain
2.2. Boundary Conditions
2.3. Governing Equations for Poisson–Nernst–Planck (PNP) Model
3. Results and Discussion
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Variable | Condition a | Boundary |
---|---|---|
Applied potential φ | φ = 0.28 V | Inlet |
φ = 0 V | Outlet | |
−n·σ∇φ = 0 | Smooth and nanostructured surfaces | |
Electrostatic wall potential ψ | n·∇ψ = 0 | Inlet and outlet |
n·∇ψ = S/ɛrɛo = (−9.86 × 10−3)/ɛrɛo | Smooth and nanostructured surfaces | |
Concentrations of ions ci | ci = co(i) exp(-zieψ/kbT) | Inlet and outlet |
−n·[-Di∇ci – um(i)ci∇(φ + ψ) + vci] = 0 | Smooth and nanostructured surfaces | |
Flow velocity v and Pressure p | v = 0 | Smooth and nanostructured surfaces |
p = 0 | Inlet and outlet |
Parameters | Symbol (Unit) | Value |
---|---|---|
Permittivity of free space | ɛo (C·V−1·m−1) | 8.85 × 10−12 |
Relative permittivity | ɛr | 80 |
Viscosity of water | µ (kg·m−1·s−1) | 8.90 × 10−4 |
Density of water | ρ (kg·m−3) | 1000 |
Faraday constant | F (C·mol−1) | 96485 |
Gas constant | R (J·mol−1·K−1) | 8.314 |
Boltzmann constant | kb (m2·kg·s−2·K−1) | 1.381 × 10−23 |
Temperature | T (K) | 298 |
Electron charge | e (C) | 1.602 × 10−19 |
Avogadro constant | Na (mol−1) | 6.022 × 1023 |
Diffusion coefficient of Na+ | DNa+ (m2·s−1) | 1.334 × 10−9 [50] |
Diffusion coefficient of HCO3- | DHCO3- (m2·s−1) | 1.105 × 10−9 [50] |
Ionic mobility of Na+ | um(Na+) (m2·V−1·s−1) | 5.194 × 10−8 |
Ionic mobility of HCO3- | um(HCO3-) (m2·V−1·s−1) | −7.919 × 10−8 |
Ionic charge number of Na+ | zNa+ | +1 |
Ionic charge number of HCO3- | zHCO3- | −1 |
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Lim, A.E.; Lam, Y.C. Numerical Investigation of Nanostructure Orientation on Electroosmotic Flow. Micromachines 2020, 11, 971. https://doi.org/10.3390/mi11110971
Lim AE, Lam YC. Numerical Investigation of Nanostructure Orientation on Electroosmotic Flow. Micromachines. 2020; 11(11):971. https://doi.org/10.3390/mi11110971
Chicago/Turabian StyleLim, An Eng, and Yee Cheong Lam. 2020. "Numerical Investigation of Nanostructure Orientation on Electroosmotic Flow" Micromachines 11, no. 11: 971. https://doi.org/10.3390/mi11110971