Theoretical investigation of electro-osmotic flows and chaotic stirring in rectangular cavities

Applied Mathematical Modelling

Volumn 29, Issue 8, 2005, Pages 726-753

  Qian, Shizhi ^a   Bau, Haim H ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; CHAOS THEORY; COMPUTATIONAL COMPLEXITY; ELECTRIC FIELD EFFECTS; FLOW OF FLUIDS; MODULATION; PRESSURE EFFECTS;

CHAOTIC STIRRING; ELECTRO-OSMOTIC FLOWS; MICROFLUIDIC DEVICES; ZETA POTENTIAL DISTRIBUTIONS;

ELECTROOSMOSIS;

FLOW MODELING; OSMOSIS;

EID: 20444454596     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2004.10.006     Document Type: Article

References (41)

1. K.F. Jensen Microchemical systems: Status, challenges, and opportunities AICHE J. 45 1999 2051-2054
2. R. Langer Biomaterials: Status, challenges, and perspectives AICHE J. 46 2000 1286-1289
3. H.A. Stone S. Kim Microfluidics: Basic issues, applications, and challenges AICHE J. 47 2001 1250-1254
4. R.F. Probstein Physiochemical Hydrodynamics 1994 John Wiley and Sons New York
5. P. Dutta A. Beskok Analytical solution of combined eloectoossmotic/ pressure driven flows in two-dimensional straight channels: Finite Debye layer effects Anal. Chem. 73 2001 1979-1986
6. J.L. Anderson W.K. Idol Electroosmosis through pores with nonuniformly charged walls Chem. Eng. Commun. 38 1985 93-106
7. A. Ajdari Electroosmosis on inhomogeneously charged surfaces Phys. Rev. Lett. 75 1995 755-758
8. A. Ajdari Generation of transverse fluid currents and forces by an electric field: Electro-osmosis on charged-modulated and undulated surfaces Phys. Rev. E 53 1996 4996-5005
9. A. Ajdari Pumping liquids using asymmetric electrode arrays Phys. Rev. E 61 2000 R45-48
10. S.Z. Qian H.H. Bau A chaotic electroosmotic stirrer Anal. Chem. 74 2002 3616-3625
11. D. Erickson D.Q. Li Influence of surface heterogeneity on electrokinetically driven microfluidic mixing Langmuir 18 2002 1883-1892
12. A.D. Stroock M. Weck D.T. Chiu W.T.S. Huck P.J.A. Kenis R.F. Ismagilov G.M. Whitesides Patterning electroosmotic flow with patterned surface charge Phys. Rev. Lett. 84 2000 3314-3317
13. C.S. Lee W.C. Blanchard C.T. Wu Direct control of the electroosmosis in capillary zone electrophoresis by using an external electric field Anal. Chem. 58 1990 1550-1552
14. R.B.M. Schasfoort S. Schlautmann J. Hendrikse A. Van den Berg Field-effect flow control for microfabricated fluidic networks Science 286 1999 942-945
15. J.S. Buch P.-C. Wang D.L. DeVoe C.S. Lee Field-effect flow control in a polydimethylsiloxane-based microfluidic system Electrophoresis 22 2001 3902-3907
16. J. Moorthy C. Khoury J.S. Moore D.J. Beebe Active control of electroosmotic flow in microchannels using light Sensors Actuat. B: Chem. 75 2001 223-229
17. V.V. Meleshko Steady Stokes flow in a rectangular cavity Proc. R. Soc. London A 452 1996 1999-2022
18. A. Souvaliotis S.C. Jana J.M. Ottino Potentialities and limitations of mixing simulations AIChE J. 41 1995 1605-1621
19. H. Aref Stirring by chaotic advection J. Fluid Mech. 143 1984 1-21
20. A.W. Adamson Physical Chemistry of Surfaces fifth ed. 1990 Wiley New York
21. J.L. Anderson Colloid transport by interfacial forces Annu. Rev. Fluid Mech. 21 1989 61-99
22. J. Kevorkian J.D. Cole Perturbation Methods in Applied Mathematics 1981 Springer New York
23. D.D. Joseph L.D. Sturges Convergence of biorthogonal series for biharmonic and flow edge problems SIAM J. Appl. Math. 34 1978 7-26
24. L.D. Sturges Stokes-flow in a two-dimensional cavity with moving end walls Phys. Fluids 29 1986 1731-1734
25. P.N. Shankar The eddy structure in stokes-flow in a cavity J. Fluid Mech. 250 1993 371-383
26. P.H. Gaskell M.D. Savage J.L. Summers H.M. Thompson Stokes flow in closed, rectangular domains Appl. Math. Modell. 22 1998 727-743
27. L.V. Kantorovich V.I. Krylov Approximate Methods of Higher Analysis 1958 Interscience Publishers, Inc. New York
28. V.V. Meleshko A.M. Gomilko Infinite systems for a biharmonic problem in a rectangular Proc. R. Soc. London A 453 1997 2139-2160
29. M. Abramowitz, I.A. Stehum, Handbook of Mathematical Functions, New York, 1972.
30. F. Oberhettinger Fourier Expansions 1973 Academic Press NY
31. H.K. Moffatt Viscous and resistive eddies near a sharp corner J. Fluid Mech. 18 1964 1-18
32. H. Aref S. Balachandar Chaotic advection in Stokes flow Phys. Fluids 29 1986 3515-3521
33. J. Chaiken C.K. Chu M. Tabor Q.,M. Tan Lagrangian turbulence and spatial complexity in Stokes flow Phys. Fluids 30 1987 687-694
34. S.Z. Qian J.Z. Zhu H.H. Bau A stirrer for magnetohydrodynamically controlled minute fluidic networks Phys. Fluids 14 2002 3584-3592
35. M. Yi S. Qian H.H. Bau A magnetohydrodynamic chaotic stirrer J. Fluid Mech. 468 2002 153-177
36. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport, Cambridge, 1989.
37. J.G. Franjione C.-W. Leong J.M. Ottino Symmetries within chaos-a route to effective mixing Phys. Fluids A 1 1989 1772-1783
38. C.W. Leong J.M. Ottino Experiments on mixing due to chaotic advection in a cavity J. Fluid Mech. 209 1989 463-499
39. S.C. Jana G. Metcalfe J.M. Ottino Experimental and computational studies of mixing in complex Stokes flows-the vortex mixing flow and multicellular cavity flows J. Fluid Mech. 269 1994 199-246
40. S.C. Jana J.M. Ottino Chaos-enhanced transport in cellular flows Philos. Trans. Roy. Soc. London 338 1992 519-532
41. Y. Hu C. Werner D. Li Electrokinetic transport through rough microchannels Anal. Chem. 75 2003 5747-5758