Electroosmotic flow of power-law fluids in a slit channel is analyzed. The governing equations including the linearized Poisson–Boltzmann equation, the Cauchy momentum equation and the continuity equation are solved to seek analytical expressions for the shear stress, dynamic viscosity and velocity distributions. Specifically, exact solutions of the velocity distributions are explicitly found for several special values of the flow behavior index. Furthermore, with the implementation of an approximate scheme for the hyperbolic cosine function, approximate solutions of the velocity distributions are obtained. In addition, a mathematical expression for the average electroosmotic velocity is derived for large values of the dimensionless electrokinetic parameter, κH, in a fashion similar to the Smoluchowski equation. Hence, a generalized Smoluchowski velocity is introduced by taking into account contributions due to the finite thickness of the electric double layer and the flow behavior index of power-law fluids. Finally, calculations are performed to examine the effects of κH, flow behavior index, double layer thickness, and applied electric field on the shear stress, dynamic viscosity, velocity distribution, and average velocity/flow rate of the electroosmotic flow of power-law fluids.
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ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels
June 22–24, 2009
Pohang, South Korea
Conference Sponsors:
- Nanotechnology Institute
ISBN:
978-0-7918-4349-9
PROCEEDINGS PAPER
Electroosmotic Flow of Power-Law Fluids in a Slit Microchannel
Cunlu Zhao,
Cunlu Zhao
Nanyang Technological University, Singapore
Search for other works by this author on:
Chun Yang
Chun Yang
Nanyang Technological University, Singapore
Search for other works by this author on:
Cunlu Zhao
Nanyang Technological University, Singapore
Chun Yang
Nanyang Technological University, Singapore
Paper No:
ICNMM2009-82182, pp. 211-218; 8 pages
Published Online:
September 21, 2010
Citation
Zhao, C, & Yang, C. "Electroosmotic Flow of Power-Law Fluids in a Slit Microchannel." Proceedings of the ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2009 7th International Conference on Nanochannels, Microchannels and Minichannels. Pohang, South Korea. June 22–24, 2009. pp. 211-218. ASME. https://doi.org/10.1115/ICNMM2009-82182
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