Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices

TLDR: In this article, the Laplace and Stokes equations were used to model the fluid and current flow in molecular-scale and thick-double-layer systems and the dynamics of diffuse charge.

Abstract: 1. Kinematics, conservation equations, and boundary conditions for incompressible flow 2. Unidirectional flow 3. Hydraulic circuit analysis 4. Passive scalar transport: dispersion, patterning, and mixing 5. Electrostatics and electrodynamics 6. Electroosmosis 7. Potential fluid flow 8. Stikes flow 9. The diffuse structure of the electrical double layer 10. Zeta potential in microchannels 11. Species and charge transport 12. Microchip chemical separations 13. Particle electrophoresis 14. DNA transport and analysis 15. Nanofluidics: fluid and current flow in molecular-scale and thick-double-layer systems 16. AC electrokinetics and the dynamics of diffuse charge 17. Particle and droplet actuation: dielectrophoresis, magnetophoresis, and digital microfluidics Appendices: A. Units and fundamental constants B. Properties of electrolyte solutions C. Coordinate systems and vector calculus D. Governing equation reference E. Nondimensionalization and characteristic parameters F. Multipolar solutions to the Laplace and Stokes equations G. Complex functions H. Interaction potentials: atomistic modeling of solvents and solutes.