A complete mathematical model is developed for application to simulate the unsteady two-step on-chip sample injection and separation processes in microfluidic devices. The origin and applicability of the slip-wall velocity boundary condition is discussed. Due to electrophoresis effect, migration influence of every species is considered in the model and then solved for separation analysis. The model is non-dimensionalized in a unique manner to reveal effects of some key fundamental parameters: the Reynolds-Schmidt number, electrophoretic mobility of sample species, applied potentials, etc. In particular, the influence of ReSci is examined over the commonly encountered range and the effect of electrophoretic mobilities on separation is investigated for three different types of samples. Results include center-line concentration profiles as well as concentration contour plots over a range of nondimensional time (less than 400). Resolution is defined and employed to evaluate the separation results. The magnitude of calculated separation resolution (around 2.0) is comparable to experimental results. Through parametric studies, the characteristics of both injection and separation are revealed numerically and well understood for future effective control and innovative chip design.
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ASME 2007 International Mechanical Engineering Congress and Exposition
November 11–15, 2007
Seattle, Washington, USA
Conference Sponsors:
- ASME
ISBN:
0-7918-4305-X
PROCEEDINGS PAPER
Theoretical Investigation of On-Chip Multi-Species Transport in Micro-Channels for Analysis Applications
Zhanjie Shao,
Zhanjie Shao
University of Waterloo, Waterloo, ON, Canada
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Gerry E. Schneider,
Gerry E. Schneider
University of Waterloo, Waterloo, ON, Canada
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Carolyn L. Ren
Carolyn L. Ren
University of Waterloo, Waterloo, ON, Canada
Search for other works by this author on:
Zhanjie Shao
University of Waterloo, Waterloo, ON, Canada
Gerry E. Schneider
University of Waterloo, Waterloo, ON, Canada
Carolyn L. Ren
University of Waterloo, Waterloo, ON, Canada
Paper No:
IMECE2007-41276, pp. 1017-1026; 10 pages
Published Online:
May 22, 2009
Citation
Shao, Z, Schneider, GE, & Ren, CL. "Theoretical Investigation of On-Chip Multi-Species Transport in Micro-Channels for Analysis Applications." Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition. Volume 11: Micro and Nano Systems, Parts A and B. Seattle, Washington, USA. November 11–15, 2007. pp. 1017-1026. ASME. https://doi.org/10.1115/IMECE2007-41276
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