Electroosmotically driven creeping flows in a wavy microchannel

Microfluidics and Nanofluidics

Volumn 6, Issue 1, 2009, Pages 37-52

  Xia, Zheng ^a   Mei, Renwei ^a   Sheplak, Mark ^a   Fan, Z Hugh ^a,b  

^a UNIVERSITY OF FLORIDA   (United States)

^b J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

Author keywords

Complex function; Electroosmotic flow; Microfluidics; Recirculation; Wavy channels

Indexed keywords

ELECTRIC FIELDS; FLOW OF FLUIDS; FUNCTIONS; NANOFLUIDICS; OSMOSIS; PRESSURE GRADIENT; PROBABILITY DENSITY FUNCTION; SUPERSONIC FLOW;

A PLANES; BOUNDARY INTEGRAL METHODS; CHANNEL GEOMETRIES; CHANNEL WIDTHS; COMPLEX FUNCTION; CREEPING FLOWS; DIMENSIONLESS PARAMETERS; ELECTROKINETIC FORCES; ELECTROOSMOTIC FLOW; EXACT SOLUTIONS; FLOW RECIRCULATION; ONSET CONDITIONS; PRESSURE FORCES; RECIRCULATION; RECIRCULATION REGIONS; STREAMLINE PATTERNS; WAVE AMPLITUDES; WAVY CHANNELS;

ELECTROOSMOSIS;

EID: 58249085405     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-008-0290-8     Document Type: Article

References (39)

1. Ajdari A (1995) Elctroosmosis on inhomogeneously charged surfaces. Phys Rev Lett 75:755-758
2. Bhattacharyya S, Zheng Z, Conlisk AT (2005) Electro-osmotic flow in two-dimensional charged micro- and nanochannels. J Fluid Mech 540:247-267
3. Bianchi F, Ferrigno R, Girault HH (2000) Finite element simulation of an electroosmotic-driven flow division at a T-junction of microscale dimensions. Anal Chem 72:1987-1993
4. Brunet E, Ajdari A (2006) Thin double layer approximation to describe streaming current fields in complex geometries: Analytical framework and applications to microfluidics. Phys Rev E 73:056306
5. Burns JC, Parkes T (1967) Peristaltic motion. J Fluid Mech 29:731-743
6. Chow JCF, Soda K (1972) Laminar-flow in tubes with constriction. Phys Fluids 15:1700-1706
7. Cummings EB, Griffiths SK, Nilson RH, Paul PH (2000) Conditions for similitude between the fluid velocity and electric field in electroosmotic flow. Anal Chem 72:2526-2532
8. Duffy DC, McDonald JC, Schueller OJA, Whitesides GM (1998) Rapid prototyping of microfluidic systems in poly(dimethylsiloxane). Anal Chem 70:4974-4984
9. Ghosal S (2002) Lubrication theory for electro-osmotic flow in a microfluidic channel of slowly varying cross-section and wall charge. J Fluid Mech 459:103-128
10. Griffiths SK, Nilson RH (2000) Electroosmotic fluid motion and late-time solute transport for large zeta potentials. Anal Chem 72:4767-4777
11. Hemmat M, Borhan A (1995) Creeping flow-through sinusoidally constricted capillaries. Phys Fluids 7:2111-2121
12. Hu YD, Werner C, Li DQ (2004) Influence of the three-dimensional heterogeneous roughness on electrokinetic transport in microchannels. J Colloid Interface Sci 280:527-536
13. Jacobson SC, Hergenroder R, Koutny LB, Warmack RJ, Ramsey JM (1994) Effects of injection schemes and column geometry on the performance of microchip electrophoresis devices. Anal Chem 66:1107-1113
14. Johnson TJ, Ross D, Locascio LE (2002) Rapid microfluidic mixing. Anal Chem 74:45-51
15. Lauga E, Stroock AD, Stone HA (2004) Three-dimensional flows in slowly varying planar geometries. Phys Fluids 16:3051-3062
16. Leneweit G, Auerbach D (1999) Detachment phenomena in low Reynolds number flows through sinusoidally constricted tubes. J Fluid Mech 387:129-150
17. Luo H, Pozrikidis C (2006) Shear-driven and channel flow of a liquid film over a corrugated or indented wall. J Fluid Mech 556:167-188
18. Malevich AE, Mityushev VV, Adler PM (2006) Stokes flow through a channel with wavy walls. Acta Mech 182:151-182
19. Park SY, Russo CJ, Branton D, Stone HA (2006) Eddies in a bottleneck: An arbitrary Debye length theory for capillary electroosmosis. J Colloid Interface Sci 297:832-839
20. Patankar NA, Hu HH (1998) Numerical simulation of electroosmotic flow. Anal Chem 70:1870-1881
21. Polianin AD (2002) Handbook of linear partial differential equations for engineers and scientists. Chapman & Hall/CRC, Boca Raton
22. Pozrikidis C (1987) Creeping Flow in Two-Dimensional Channels. J Fluid Mech 180:495-514
23. Pozrikidis C (1988) The flow of a liquid-film along a periodic wall. J Fluid Mech 188:275-300
24. Probstein RF (2003) Physicochemical hydrodynamics: An introduction, 2nd edn. Wiley-Interscience, Hoboken
25. Qiao R, Aluru NR (2002) A compact model for electroosmotic flows in microfluidic devices. J Micromech Microeng 12:625-635
26. SalimiMoosavi H, Tang T, Harrison DJ (1997) Electroosmotic pumping of organic solvents and reagents in microfabricated reactor chips. J Am Chem Soc 119:8716-8717
27. Santiago JG (2001) Electroosmotic flows in microchannels with finite inertial and pressure forces. Anal Chem 73:2353-2365
28. Scholle M (2004) Creeping couette flow over an undulated plate. Arch Appl Mech 73:823-840
29. Sobey IJ (1980) Flow through furrowed channels. 1. Calculated flow patterns. J Fluid Mech 96:1-26
30. Stephanoff KD, Sobey IJ, Bellhouse BJ (1980) Flow through furrowed channels. 2. Observed flow patterns. J Fluid Mech 96:27-32
31. Stone HA, Kim S (2001) Microfluidics: Basic issues, applications, and challenges. AIChE J 47:1250-1254
32. Tsangaris S, Leiter E (1984) On laminar steady flow in sinusoidal channels. J Eng Math 18:89-103
33. Wang CY (1978) Drag due to a striated boundary in slow couette-flow. Phys Fluids 21:697-698
34. Wang CY (2003) Flow over a surface with parallel grooves. Phys Fluids 15:1114-1121
35. Wei HH, Waters SL, Liu SQ, Grotberg JB (2003) Flow in a wavy-walled channel lined with a poroelastic layer. J Fluid Mech 492:23-45
36. White FM (1991) Viscous fluid flow, 2nd edn. McGraw-Hill, New York
37. Xuan XC, Li DQ (2005) Electroosmotic flow in microchannels with arbitrary geometry and arbitrary distribution of wall charge. J Colloid Interface Sci 289:291-303
38. Xuan XC, Xu B, Li DQ (2005) Accelerated particle electrophoretic motion and separation in converging-diverging microchannels. Anal Chem 77:4323-4328
39. Zhou H, Martinuzzi RJ, Khayat RE, Straatman AG, Abu-Ramadan E (2003) Influence of wall shape on vortex formation in modulated channel flow. Phys Fluids 15:3114-3133