Investigation of the staggered herringbone mixer with a simple analytical model.

作者: Abraham D. Stroock , Gregory J. McGraw

DOI: 10.1098/RSTA.2003.1357

关键词: Mixing (physics)Residence time (fluid dynamics)MicrofluidicsRange (statistics)Flow (mathematics)MechanicsFunction (mathematics)Dispersion (water waves)Materials scienceAdvection

摘要: An analytical model is presented for the three-dimensional flow in recently introduced staggered herringbone mixer microchannels. In this model, cross-section of channel treated as a lid-driven cavity flow. The shown to reproduce advection patterns that were observed experimentally mixer. then used study quality mixing function geometry. Analysis performed with Poincare maps, simulations, and residence time distributions. A range optimal geometries identified.

参考文章(15)
W.-L. Chien, H. Rising, J. M. Ottino, Laminar mixing and chaotic mixing in several cavity flows Journal of Fluid Mechanics. ,vol. 170, pp. 355- 377 ,(1986) , 10.1017/S0022112086000927
Abraham D. Stroock, Stephan K. Dertinger, George M. Whitesides, Armand Ajdari, Patterning flows using grooved surfaces Analytical Chemistry. ,vol. 74, pp. 5306- 5312 ,(2002) , 10.1021/AC0257389
D.V. Khakhar, J.G. Franjione, J.M. Ottino, A case study of chaotic mixing in deterministic flows: The partitioned-pipe mixer Chemical Engineering Science. ,vol. 42, pp. 2909- 2926 ,(1987) , 10.1016/0009-2509(87)87056-2
Paul Watts, Stephen J Haswell, Microfluidic combinatorial chemistry. Current Opinion in Chemical Biology. ,vol. 7, pp. 380- 387 ,(2003) , 10.1016/S1367-5931(03)00050-4
David C. Duffy, J. Cooper McDonald, Olivier J. A. Schueller, George M. Whitesides, Rapid prototyping of microfluidic systems in poly(dimethylsiloxane) Analytical Chemistry. ,vol. 70, pp. 4974- 4984 ,(1998) , 10.1021/AC980656Z
Abraham D Stroock, Stephan KW Dertinger, Armand Ajdari, Igor Mezic, Howard A Stone, George M Whitesides, Chaotic Mixer for Microchannels Science. ,vol. 295, pp. 647- 651 ,(2002) , 10.1126/SCIENCE.1066238
Steady Stokes Flow in a Rectangular Cavity Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 452, pp. 1999- 2022 ,(1996) , 10.1098/RSPA.1996.0106
Igor Mezić, Stephen Wiggins, David Betz, Residence-time distributions for chaotic flows in pipes Chaos: An Interdisciplinary Journal of Nonlinear Science. ,vol. 9, pp. 173- 182 ,(1999) , 10.1063/1.166388
M. A. Burns, C. H. Mastrangelo, T. S. Sammarco, F. P. Man, J. R. Webster, B. N. Johnsons, B. Foerster, D. Jones, Y. Fields, A. R. Kaiser, D. T. Burke, Microfabricated structures for integrated DNA analysis Proceedings of the National Academy of Sciences of the United States of America. ,vol. 93, pp. 5556- 5561 ,(1996) , 10.1073/PNAS.93.11.5556