Abstract
A mathematical model is developed to study the electrokinetic effect on liquid developing flow in a parallel slit including the general Nernst-Planck equation describing anion and cation distributions, the Poisson equation determining the electrical potential profile, and the modified Navier-Stokes equation governing the velocity flow field. Since these three equations are coupled, a numerical scheme based on the finite volume method is utilized to iteratively solve the proposed model. A new expression for the streaming potential in the case of the developing flow status is derived. The characteristics of the pressure-driven flow in the presence of the electrokinetic effect are examined.
| Original language | English |
|---|---|
| Pages (from-to) | 609-622 |
| Number of pages | 14 |
| Journal | International Journal of Engineering Science |
| Volume | 42 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - Mar 2004 |
| Externally published | Yes |
Keywords
- Boltzmann distribution
- Developing microchannel flow
- Developing streaming potential
- Electrokinetic (electroviscous) effect
- The Nernst-Planck equation
ASJC Scopus subject areas
- General Materials Science
- General Engineering
- Mechanics of Materials
- Mechanical Engineering
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