Abstract

In this study we present the numerical methods that can be used in visualization of the flow and mixing patterns in a cavity driven by a top lid. The basic flow field within the cavity has been obtained by using a simple numerical scheme. The invariant manifold also called unstable manifold was then attained to represent the mixing pattern within the cavity. It was shown that care must be taken in calculating the trajectories of the fluid particles especially near corners of the cavity. The numerical results show excellent agreement with those obtained experimentally by other research group.

주제어

#드리븐 캐버티   #혼돈적 교반   #불안정 다양체   #혼합양상  

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참고문헌 (18)

1. Howell, P.B., Mott, D.R., Fertig, S., Kaplan, C.R., Golden, J.P., Oran, E.S. and Ligler, F.S., 2005, "A microfluidic mixer with grooves placed on the top and bottom of the channel", Lab Chip, Vol.5, p.524-530 
2. Kim, D.S., Lee S.H., Kwon, T.H. and Ahn, C.H., 2005, "A serpentine laminating micromixer combining splitting/recombination and advection", Lab Chip, Vol.5, p.739-747 
3. Grumann, M., Geipel, A., Riegger, G.L., 2005, Zengerle, R. and Ducree, J., "Batch-mode mixing on centrifugal microfluidic platforms", Lab Chip, Vol.5, p.560-565 
4. Qian, S. and Bau, H.H., 2002, "A chaotic electroosmotic stirrer", Anal. Chem, Vol.74, p.3618-3625 
5. 서용권, 1995, "요동운동에 의한 Driven-Cavity 유동의 혼돈적 교반", 대한기계학회논문집, Vol.19, No.2, p. 537-547 
6. Yi, M. and Bau, H.H., 2003, "The kinematics of bend-induced mixing in micro-conduits", In. J. Heat and Fluid Flow, Vol.24, p.645-656 
7. Bau, H.H., Zhong, J. and Yi, M., 2001, "A minute magneto hydro dynamic (MHD) mixer", Sensors and Actuators B, Vol. 79, p.207-215 
8. Guckenheimer, J. and Holmes, P., 1983, "Nonlinear oscillations, Dynamical Systems, and Bifurcations of Vector Fields", Springer-Verlag 
9. Aref, H., 1984, "Stirring by chaotic advection", J. Fluid Mech., Vol. 143, p.1-21 
10. Qian, S., Zhu, J. and Ban, H.H., 2002, "A stirrir for magnetohydrodynamicaly controlled minute fluidic networks", Phys. Fluids, Vol.14, No. 10, p.3584-3592 
11. Ottino, J.M., 1990, "Mixing, chaotic advection, and turbulence", Annu. Rev. Fluid Mech., Vol.22, p. 207-253 
12. Strook, A.D., Dertinger, S.K.W., Ajdari, A., Megic, I., Stone H.A. and Whitesides, G.M., 2002, "Chaotic mixer for microchannnels", Science, Vol.295, p.647-651 
13. Beebe, D.J., Adrian, R.J., Olsen, M.G., Strenler, M.A., Aref, H. and Jo, B-H, 2001, "Passive mixing in microchannels: Fabrication and flow experiments", Mec. Ind., Vol.2, p. 343-348 
14. Qian, S. and Bau, H.H., 2005, "Theoretical investigation of electro-osmotic flows and chaotic stirring in rectangular cavities", Appl. Math. Modelling, Vol.29, p.726-753 
15. Chang, C-C and Yang, R-J, 2004, "Computational analysis of electrokinetically driven flow mixing in microchannels with patterned blocks", J. Micromech. Microeng., Vol.14, p. 550-558 
16. H-Y Wu and C-H Liu, 2005, "A novel electrokinetic micromixer", Sensors and Actuators A, Vol.118, p. 107-115 
17. Leong, C.W. and Ottino, J.M., 1989, "Experiments on mixing due to chaotic advection", J. Fluid Mech., Vol.209, p. 463-499 
18. Ottino, J.M., 1989, The Kinematics of Mixing : Stretching, Chaos, and Transport, Cambridge University Press 

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