Mixing in the shear superposition micromixer: Three-dimensional analysis

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 362, Issue 1818, 2004, Pages 1001-1018

  Bottausci, Frederic ^a   Mezić, Igor ^a   Meinhart, Carl D ^a   Cardonne, Caroline ^a  

^a University of California   (United States)

Author keywords

Lab on a chip; Micromixer; Quasi periodic flow

Indexed keywords

EID: 2442500293     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2003.1359     Document Type: Article

References (26)

1. Aref, H. 1984 Stirring by chaotic advection. J. Fluid Mech. 143, 1-21.
2. Branebjerg, J., Fabius, B. & Gravesen, P. 1994 Application of miniature analysers from microfluidic components to μTAS. In Proc. Micro Total Analysis System Conf., Twente, Netherlands, pp. 141-151.
3. Branebjerg, J., Fabius, B. & Gravesen, P. 1996 Fast mixing by lamination. In Proc. 9th Annual Workshop on Microelectromechanical Systems, San Diego, CA, pp. 441-446.
4. Chiem, N., Colyer, C. & Harrison, D. J. 1997 Microfluidic systems for clinical diagnostics. In Int. Conf. on Solid State Sensors and Actuators, Chicago, IL, vol. 1, pp. 183-186.
5. Chou, H.-P., Unger, M. A. & Quake, S. R. 2001 A microfabricated rotary pump. Biomed. Microdevices 3, 323-330.
6. D'Alessandro, D., Dahleh, M. & Mezić, I. 1999 Control of mixing in fluid flow: a maximum entropy approach. IEEE Trans. Automatic Control 44, 1852-1863.
7. Evans, J., Liepmann, D. & Pisano, A. P. 1997 Planar laminar mixer. In Proc. 10th Annual Workshop Microelectromechanical Systems, Nagoya, Japan, pp. 96-101.
8. Karniadakis, G. E. & Beskok, A. 2001 Micro flows. Springer.
9. Lee, Y. K., Deval, J., Tabeling, P. & Ho, C. M. 2001 Chaotic mixing in electrokinetically and pressure-driven micro flows. In Proc. 14th IEEE Workshop on MEMS, Interlaken, Switzerland, pp. 483-486.
10. Liu, R. H., Sharp, K. V., Olsen, M. G., Stremler, M. A., Santiago, J. G., Adrian, R. J., Aref, H. & Beebe, D. J. 2000 A passive micromixer: three-dimensional serpentine microchannel. J. MEMS 9, 190-197.
11. Mathew, G., Mezić, I. & Petzold, L. 2003a A multiscale measure for mixing and its applications. In Proc. Conf. on Decision and Control, Maui, HI, USA.
12. Mathew, G., Mezić, I., Serban, R. & Petzold, L. 2004 Optimization of mixing in an active micromixing device. In Technical Proc. 2004 NSTI Nanotechnology Conf. Trade Show, Boston, MA, vol. 1, pp. 300-303. Cambridge, MA: Nano Science and Technology Institute.
13. Meinhart, C. D., Wereley, S. T. & Santiago, J. G. 1999 Measurements of a microchannel flow. Exp. Fluids 27, 414-419.
14. Meinhart, C. D., Wereley, S. T. & Santiago, J. G. 2000 A PIV algorithm for estimating time-averaged velocity fields. J. Fluids Engng 122, 285-289.
15. Mezić, I., Brady, J. F. & Wiggins, S. 1996 Maximal effective diffusivity for time periodic incompressible fluid flows. SIAM J. Appl. Math. 56, 40-57.
16. Mezić, I., Wiggins, S. & Betz, D. 1999 A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Chaos 9, 173-182.
17. Miyake, R., Lammerink, T. S. J., Elwenspoek, N. & Fluitman, J. H. J. 1993 Micromixer with fast diffusion. In Proc. IEEE Microelectromechanical Workshop, Fort Lauderdale, FL, pp. 248-253.
18. Müller, S. D., Mezić, I., Walther, J. H. & Koumoutsakos, P. 2004 Transverse momentum micromixer optimization with evolution strategies. Comput. Fluids 33, 521-531.
19. Niu, X. & Lee, Y. K. 2003 Efficient spatiotemporal chaotic mixing in microchannels. J. Micromech. Microengng 13, 454-462.
20. Ottino, J. M. 1989 The kinematics of mixing: stretching, chaos and transport. Cambridge University Press.
21. Santiago, J. G., Wereley, S., Meinhart, C. D., Beebe, D. J. & Adrian, R. J. 1998 A PIV system for microfluidics. Exp. Fluids 25, 316-319.
22. Stroock, A. D., Dertinger, S. K. W., Ajdari, A., Mezić, I., Stone, H. A. & Whitesides, G. M. 2002 Chaotic mixer for microchannels. Science 295, 647-651.
23. Vijayendran, R. A., Motsegood, K. M., Beebe, D. J. & Leckband, D. E. 2003 Evaluation of a three-dimensional micromixer in a surface-based biosensor. Langmuir 19, 1824-1828.
24. Volpert, M., Mezić, I., Meinhart, C. D. & Dahleh, M. 1999 An actively controlled micromixer. In Proc. ASME Mechanical Engineering International Congress and Exposition, MEMS, Nashville, TN, pp. 483-487.
25. White, F. M. 1974 Viscous fluid flow. McGraw-Hill.
26. Yi, M. & Bau, H. H. 2000 The kinematics of bend-induced stirring in micro-conduits. In Proc. MEMS 2000, vol. 2, pp. 489-496. New York: ASME.