Liquid flows in microchannels

MEMS: Introduction and Fundamentals

Volumn , Issue , 2005, Pages 10-1-10-46

  Sharp, Kendra V ^a   Adrian, Ronald J ^b   Santiago, Juan G ^c   Molho, Joshua I ^d  

^a The Pennsylvania State University   (United States)

^b Arizona State University   (United States)

^c Stanford University   (United States)

^d Caliper Life Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85006566493     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (184)

1. Adamson, A.W., and Gast, A.P. (1997) “Physical Chemistry of Surfaces,” 6th ed., John Wiley & Sons, Inc., New York.
2. Alarie, J.P., Jacobson, S.C., Culbertson, C.T., et al. (2000) “Effects of the Electric Field Distribution on Microchip Valving Performance,” Electrophoresis 21, pp. 100-6.
3. Anderson, J.L., and Idol, W.K. (1985) “Electroosmosis through Pores with Nonuniformly Charged Walls,” Chem. Eng. Commn. 38, pp. 93-106.
4. Arkilic, E.B., Schmidt, M.A., and Breuer, K.S. (1997) “Gaseous Slip Flow in Long Microchannels,” J. MEMS 6, pp. 167-78.
5. Arulanandam, S., and Li, D. (2000) “Liquid Transport in Rectangular Microchannels by Electroosmotic Pumping,” Colloid. Surface. A 161, pp. 89-102.
6. Auroux, P. A., Iossifidis, D., Reyes, D. R., and Manz, A. (2002) “Micro Total Analysis Systems: 2. Analytical Standard Operations and Applications,” Anal. Chem. 74, pp. 2637-52.
7. Baker, D.R. (1995) “Capillary Electrophoresis,” in Techniques in Analytical Chemistry Series, John Wiley & Sons, Inc., New York.
8. Beckers, J.L., and Bocek, P. (2000) “Sample Stacking in Capillary Zone Electrophoresis: Principles, Advantages, and Limitations,” Electrophoresis 21, pp. 2747-67.
9. Berger, M., Castelino, J., Huang, R., Shah, M., and Austin, R.H. (2001) “Design of a Microfabricated Magnetic Cell Separator,” Electrophoresis 22, pp. 3883-92.
10. Bharadwaj, R., and Santiago, J.G. (2005) “Dynamics of Field Amplified Sample Stacking,” in press, J. Fluid Mech.
11. Bharadwaj, R., Santiago, J.G., and Mohammadi, B. (2002) “Design and Optimization of On-Chip Electrophoresis,” Electrophoresis 23, pp. 2729-44.
12. Bianchi, F., Ferrigno, R., and Girault, H.H. (2000) “Finite Element Simulation of an Electroosmotic-Driven Flow Division at a T-Junction of Microscale Dimensions,” Anal. Chem. 72, pp. 1987-93.
13. Blankenstein, G., and Larsen, U.D. (1998) “Modular Concept of a Laboratory on a Chip for Chemical and Biochemical Analysis,” Biosens. Bioelectron. 13, pp. 427-38.
14. Bosse, M.A., and Arce, P. (2000) “Role of Joule Heating in Dispersive Mixing Effects in Electrophoretic Cells: Convective-Diffusive Transport Aspects,” Electrophoresis 21, pp. 1026-33.
15. Brandner, J., Fichtner, M., Schygulla, U., and Schubert, K. (2000) “Improving the Efficiency of Micro Heat Exchangers and Reactors,” in Proc. 4th Int’l. Conf. Microreaction Technology, AIChE, 5-9 March, Atlanta, Georgia, pp. 244-49.
16. Branebjerg, J., Fabius, B., and Gravesen, P. (1995) “Application of Miniature Analyzers: From Microfluidic Components to TAS,” in Micro Total Analysis Systems, A. van den Berg and P. Bergveld, eds., Kluwer Academic Publishers, Dordrecht, pp. 141-51.
17. th Annual Workshop of Micro Electro Mechanical Systems, San Diego, California, 11-15 February, pp. 441-46.
18. Bridgman, P.W. (1923) “The Thermal Conductivity of Liquids Under Pressure,” American Academy of Arts and Sciences 59, pp. 141-59.
19. Brody, J.P., Yager, P., Goldstein, R.E., and Austin, R.H. (1996) “Biotechnology at Low Reynolds Numbers,” Biophys. J. 71, pp. 3430-41.
20. Bruin, G.J.M. (2000) “Recent Developments in Electrokinetically Driven Analysis on Microfabricated Devices,” Electrophoresis 21, pp. 3931-51.
21. Brutin, D., and Tadrist, L. (2003) “Experimental Friction Factor of a Liquid Flow in Microtubes,” Phys. Fluids 15, pp. 653-61.
22. Burgi, D.S., and Chien, R.L. (1991) “Optimization of Sample Stacking for High Performance Capillary Electrophoresis,” Anal. Chem. 63, pp. 2042-47.
23. Burgreen, D., and Nakache, F.R. (1964) “Electrokinetic Flow in Ultrafine Capillary Slits,” J. Phys. Chem. 68, pp. 1084-91.
24. Castellanos, A. (1998) Electrohydrodynamics, New York, Springer-Verlag Wien.
25. Catsimpoolas, N. (1976) Isoelectric Focusing, New York, Academic Press.
26. Celata, G.P., Cumo, M., Guglielmi, M., and Zummo, G. (2002) “Experimental Investigation of Hydraulic and Single-Phase Heat Transfer in a 0.130-mm Capillary Tube,” Microscale Thermophys. Eng. 6, p. 85-97.
27. Chen, C.-H., Lin, H., Santiago, J.G., and Lele, S.K. (2005) “Convective and absolute Electrokinetic Flow Instability,” with conductivity gradients J. Fluid Mech, 524, pp. 263-303.
28. Chen, Z., Milner, T.E., Dave, D., and Nelson, J.S. (1997) “Optical Doppler Tomographic Imaging of Fluid Flow Velocity in Highly Scattering Media,” Opt. Lett. 22, pp. 64-66.
29. Chien, R. (2003) “Sample Stacking Revisited: A Personal Perspective,” Electrophoresis 24, pp. 486-97.
30. Cho, S.K., and Kim, C.-J. (2003), “Particle Separation and Concentration Control for Digital Microfluidic Systems,” Proc Sixteenth Ann. Conf. on MEMS, MEMS-03, 19-23 January, Kyoto, Japan, pp. 686-89.
31. Choi, C.-H., Westin, K.J.A., and Breuer, K.S. (2003) “Apparent Slip Flows in Hydrophilic and Hydrophobic Microchannels,” Phys. Fluids 15, pp. 2897-2902.
32. Choi, S.B., Barron, R.F., and Warrington, R.O. (1991) “Fluid Flow and Heat Transfer in Microtubes,” in DSC-Vol. 32, Micromechanical Sensors, Actuators and Systems, ASME Winter Annual Meeting, Atlanta, Georgia, pp. 123-34.
33. Chou, C.-F., Austin, R.H., Bakajin, O., Tegenfeldt, J.O., Castelino, J.A., Chan, S.S., Cox, E.C., Craighead, H., Darnton, N., Duke, T., Han, J., and Turner, S. (2000) “Sorting Biomolecules with Microdevices,” Electrophoresis 21, pp. 81-90.
34. Cui, H.-H., Silber-Li, Z.-H., and Zhu, S.-N. (2004) “Flow Characteristics of Liquids in Microtubes Driven by a High Pressure,” Phys. Fluids 16, pp. 1803-10.
35. Cummings, E.B., and Singh, A.K. (2003) “Dielectrophoresis in Microchips Containing Arrays of Insulating Posts: Theoretical and Experimental Results,” Anal. Chem. 75, pp. 4724-31.
36. Cummings, E.B., Griffiths, S.K., and Nilson, R.H. (1999) “Irrotationality of Uniform Electroosmosis,” in SPIE Conference on Microfluidic Devices and Systems II, 20-22 September, Santa Clara, California, 3877, pp. 180-89.
37. Cummings, E.B., Griffiths, S.K., Nilson, R.H., et al. (2000) “Conditions for Similitude Between the Fluid Velocity and Electric Field in Electroosmotic Flow,” Anal. Chem. 72, pp. 2526-32.
38. Darbyshire, A.G., and Mullin, T. (1995) “Transition to Turbulence in Constant-Mass-Flux Pipe Flow,” J. Fluid Mech. 289, pp. 83-114.
39. Devasenathipathy, S., and Santiago, J.G. (2000) unpublished results, Stanford University, Stanford, California, October.
40. Devasenathipathy, S., Santiago, J.G., and Takehara, K. (2002) “Particle Tracking Techniques for Electrokinetic Microchannel Flows,” Anal. Chem. 74, pp. 3704-13.
41. Devasenathipathy, S., Santiago, J.G., Wereley, S.T., Meinhart, C. D., and Takehara, K. (2003) “Particle Imaging Techniques for Microfabricated Fluidic Systems,” Exp. Fluids 34, pp. 504-14.
42. Dutta, P., Beskok, A., and Warburton, T.C. (2002) “Electroosmotic Flow Control in Complex Microgeometries,” J. Microelectromech. Sys. 11, pp. 36-44.
43. Ermakov, S.V., Jacobson, S.C., and Ramsey, J.M. (2000) “Computer Simulations of Electrokinetic Injection Techniques in Microfluidic Devices,” Anal. Chem. 72, pp. 3512-17.
44. Everaerts, F.M., Beckers, J.L., and Verheggen, T.P.E.M. (1976) Isotachophoresis: Theory, Instrumentation, and Applications, Elsevier, New York.
45. Fiechtner, G.J., and Cummings, E.B. (2003) “Faceted Design of Channels for Low-Dispersion Electrokinetic Flows in Microfluidics Systems,” Anal. Chem. 75, pp. 4747-55.
46. Flockhart, S.M., and Dhariwal, R.S. (1998) “Experimental and Numerical Investigation into the Flow Characteristics of Channels Etched in <100> Silicon,” J. Fluids Eng. 120, pp. 291-95.
47. Fu, L.-M., Yang, R.-J., Lin, C.-H., Pan, Y.-J., and Lee, G.-B. (2004) “Electrokinetically Driven Micro Flow Cytometers with Integrated Fiber Optics for On-Line Cell/Particle Detection,” Anal. Chim. Acta 507, pp. 163-69.
48. Gad-el-Hak, M. (1999) “The Fluid Mechanics of Microdevices: The Freeman Scholar Lecture,” J. Fluids. Eng. 121, pp. 5-33.
49. Galambos, P., and Forster, F.K. (1998) “Micro-Fluidic Diffusion Coefficient Measurement,” in Micro Total Analysis Systems, D.J. Harrison and A. van den Berg, eds., Kluwer Academic Publishers, Dordrecht, pp. 189-192.
50. Gan, W., Yang, L., He, Y., Zeng, R., Cervera, M.L., and d. l. Guardia, M. (2000) Talanta 51, p. 667.
51. 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, pp. 103-28.
52. Ghosal, S. (2004) “Fluid Mechanics of Electroosmotic Flow and its Effects on Band Broadening in Capillary Electrophoresis,” Electrophoresis 25, pp. 214-28.
53. Glückstad, J. (2004) “Sorting Particles with Light,” Nat. Mater. 3, pp. 9-10.
54. Gray, B., Jaeggi, D., Mourlas, N., van Drieenhuizen, B., Williams, K., Maluf, N., and Kovacs, G.S. (1999) “Novel interconnection technologies for integrated microfluidic Systems,” Sensor. Actuator. APhys. 77, pp. 57-65.
55. Green, N.G., Ramos, A, Gonzales, A., Castellanos, A. and Morgan, H. (2000a) “Electric-Field-Induced Fluid Flow on Microelectrodes: The Effects of Illumination,” J. Phys. D: Appl. Phys. 33, pp. L13-17.
56. Green, N.G., Ramos, A., Gonzales, A., Morgan, H., and Castellanos, A. (2000b) “Fluid Flow Induced by Non-Uniform AC Electric Fields in Electrolytes on Microelectrodes: Part 1, Experimental Measurements,” Phys. Rev. E 61, pp. 4011-18.
57. Griffiths, S.K., and Nilson, R.H. (2001) “Low Dispersion Turns and Junctions for Microchannel Systems,” Anal. Chem. 73, pp. 272-78.
58. Grushka, E., McCormick, R.M., and Kirkland, J.J. (1989) “Effect of Temperature Gradients on the Efficiency of Capillary Zone Electrophoresis Separations,” Anal. Chem. 61, pp. 241-46.
59. Hagen, G. (1839) On the Motion of Water in Narrow Cylindrical Tubes, (German) Pogg. Ann. 46, p. 423.
60. Hanks, R.W., and Ruo, H.-C. (1966) “Laminar-Turbulent Transition in Ducts of Rectangular Cross Section,” I&EC Fundamentals 5, p. 558-61.
61. Harley, J.C., Huang, Y., Bau, H.H., and Zemel, J.N. (1995) “Gas Flow in Micro-channels,” J. Fluid Mech. 284, pp. 257-74.
62. Hayes, M., Kheterpal, I., and Ewing, A. (1993) “Effects of Buffer pH on Electoosmotic Flow Control by an Applied Radial Voltage for Capillary Zone Electrophoresis,” Anal. Chem. 65, pp. 27-31.
63. Henry, D.C. (1948) “The Electrophoresis of Suspended Particles: 4, The Surface Conductivity Effect,” Trans. Faraday Soc. 44, pp. 1021-26.
64. Herr, A.E., Molho, J.I., Drouvalakis, K.A., Mikkelsen, J.C., Utz, P.J., Santiago, J.G., and Kenny, T.W. (2003) “On-Chip Coupling of Isoelectric Focusing and Free Solution Electrophoresis for Multi-Dimensional Separations,” Anal. Chem. 75, pp. 1180-87.
65. Herr, A.E., Molho, J.I., Santiago, J.G., et al. (2000) “Electroosmotic Capillary Flow with Nonuniform Zeta Potential,” Anal. Chem. 72, pp. 1053-57.
66. Hiemenz, P.C., and Rajagopalan, R. (1997) “Principles of Colloid and Surface Chemistry,” 3rd ed., Marcel Dekker, Inc., New York.
67. Hirokawa, T., Okamoto, H., and Gas, B. (2003) “High-Sensitive Capillary Zone Electrophoresis Analysis Bb Electrokinetic Injection with Transient Isotachophoretic Preconcentration: Electrokinetic Supercharging,” Electrophoresis 24, pp. 498-504.
68. Hitt, D.L., and Lowe, M.L. (1999) “Confocal Imaging of Flows in Artificial Venular Bifurcations,” Trans. ASME J. Biomech. Eng. 121, pp. 170-77.
69. Ho, C.-M., and Tai, Y.-C. (1998) “Micro-Electro-Mechanical Systems (MEMS) and Fluid Flows,” Annu. Rev. Fluid Mech. 30, pp. 579-612.
70. Hofmann, O., Che, D.P., Cruickshank, K.A., and Muller, U.R. (1999) “Adaptation of Capillary Isoelectric Focusing to Microchannels on a Glass Chip,” Anal. Chem. 71, pp. 678-86.
71. Hsieh, S.-S., Lin, C.-Y., Huang, C.-F., and Tsai, H.-H. (2004) “Liquid Flow in a Micro-Channel,” J. Micromech. Microeng. 14, pp. 436-45.
72. Huang, T., Tsai, P., Wu, Ch., and Lee, C. (1993) “Mechanistic Studies of Electroosmotic Control at the Capillary-Solution Interface,” Anal. Chem. 65, pp. 2887-93.
73. Hunter, R.J. (1981) “Zeta Potential in Colloid Science,” Academic Press, London.
74. Israelachvili, J.N. (1986) “Measurement of the Viscosity of Liquids in Very Thin Films,” J. Coll. Interface Sci. 110, pp. 263-71.
75. Ivory, C.F. (2000). “A Brief Review of Alternative Electrofocusing Techniques,” Separ. Sci. Technol. 35, pp. 1777-93.
76. Jacobson, S.C., Hergenroder, R., Moore, A.W. Jr., and Ramsey, J.M. (1994) “Precolumn Reactions with Electrophoretic Analysis Integrated on a Microchip,” Anal. Chem. 66, pp. 4127-32.
77. Janson, S.W., Helvajian, H., and Breuer, K. (1999) “MEMS, Microengineering and Aerospace Systems,” in 30th AIAA Fluid Dyn. Conf., 28 June-1 July, Norfolk, Virginia, AIAA 99-3802.
78. Jiang, X.N., Zhou, Z.Y., Yao, J., Li, Y., and Ye, X.Y. (1995) “Micro-Fluid Flow in Microchannel,” in Transducers ’95:Eurosensor IX, 8th Intl. Conf. on Solid-State Sensors and Actuators, and Eurosensors IX, 25-29, 1995, in Stockholm, Sweden, pp. 317-20.
79. Judy, J., Maynes, D., and Webb, B.W. (2002) “Characterization of Frictional Pressure Drop for Liquid Flows through Microchannels,” Int. J. Heat Mass Transf. 45, pp. 3477-89.
80. Jung, B., Bharadwaj, R., and Santiago, J.G. (2003) “Thousand-Fold Signal Increase Using Field Amplified Sample Tacking for On-Chip Electrophoresis,” Electrophoresis 24, pp. 3476-83.
81. Kaniansky, D., Masar, M., Bielcikova, J., Ivanyi, F., Eisenbeiss, F., Stanislawski, B., Grass, B., Neyer, A., and Johnck, M. (2000) “Capillary Electrophoresis Separations on a Planar Chip with the Column-Coupling Configuration Separation Channels,” Anal. Chem. 72, pp. 3596-3604.
82. Khaledi, M.G. (1998) “High-Performance Capillary Electrophoresis,” in Chemical Analysis: A Series of Monographs on Analytical Chemistry and its Applications, J.D. Winefordner, ed., p. 146, John Wiley & Sons, Inc., New York.
83. Kirby, B.J. (2004) “Zeta Potential of Microfluidic Substrates: 1. Theory, Experimental Techniques, and Effects on Separations,” Electrophoresis 25, pp. 187-202.
84. Kitahara, A., and Watanabe, A. (1984) Electrical Phenomena at Interfaces: Fundamentals, Measurements, and Applications, Surfactant Science Series 15, Marcel Dekker, New York.
85. Knox, J.H. (1988) “Thermal Effects and Band Spreading in Capillary Electro-Separation,” Chromatographia 26, pp. 329-37.
86. Kohlrausch, F. (1897) “Über Konzentrations Verschicbungen durch Electrolyse im Innern von Lösungen and Losungsgemischen,” Ann. Phys. (Leipzig) 62, pp. 209-39.
87. Koo, J., and Kleinstreuer, C. (2003) “Liquid Flow in Microchannels: Experimental Observations and Computational Analyses of Microfluidics Effects,” J. Micromech. Microeng. 13, pp. 568-79.
88. Koutsiaris, A.G., Mathiouslakis, D.S., and Tsangaris, S. (1999) “Microscope PIV for Velocity-Field Measurement of Particle Suspensions Flowing inside Glass Capillaries,” Meas. Sci. Technol. 10, pp. 1037-46.
89. Krulevitch, P., Bennett, W., Hamilton, J., Maghribi, M., and Rose, K. (2002) “Polymer-Based Packaging Platform for Hybrid Microfluidic Systems,” Biomed. Microdevices 4, pp. 301-8.
90. Landers, J.P. (1994) Handbook of Capillary Electrophoresis, CRC Press, Boca Raton, FL.
91. Lanzillotto, A.-M., Leu, T.-S., Amabile, M., and Wildes, R. (1996) “An Investigation of Microstructure and Microdynamics of Fluid Flow in MEMS,” in AD-Vol. 52, Proc. of ASME Aerospace Division, Atlanta, Georgia, pp. 789-96.
92. Laser, D., and Santiago, J.G. (2004) “A Review of Micropumps,” J.Micromech.Microeng. 14, pp. R35-R64.
93. Lee, G.-B., Hung, C.-I., Ke, B.-J., Huang, G.-R., Hwei, B.-H., and Lai, H.-F. (2001) “Hydrodynamic Focusing for a Micromachined Flow Cytometer,” J. Fluids Eng. 123, pp. 672-79.
94. Lee, G.-B., Lin, C.-H., and Chang, G.-L. (2003) “Micro Flow Cytometers with Buried SU-8/SOG Optical Waveguides,” Sensor. Actuator. A 103, pp. 165-70.
95. Levich, V. (1962) Physicochemical Hydrodynamics, Prentice-Hall, Englewood Cliffs, N.J.
96. Li, Y., Buch, J.S., Rosenberger, F., DeVoe, D.L., and Lee, C.S. (2004) “Integration of Isoelectric Focusing with Parallel Sodium Dodecyl Sulfate Gel Electrophoresis for Multidimensional Protein Separations in a Plastic Microfluidic Network,” Anal. Chem. 76, pp. 742-48.
97. Li, Z.-X., Du, D.-X., and Guo, Z.-Y. (2003) “Experimental Study on Flow Characteristics of Liquid in Circular Microtubes,” Microscale Thermophys. Eng. 7, pp. 253-65.
98. Lichtenberg, J., Verpoorte, E., and de Rooij, N.F. (2001) “Sample Preconcentration by Field Amplification Stacking for Microchip-Based Capillary Electrophoresis,” Electrophoresis 22, pp. 258-71.
99. Lin, H., Storey, B., Oddy, M., Chen, C.-H., and Santiago, J.G. (2004) “Instability of Electrokinetic Microchannel Flows with Conductivity Gradients,” Phys. Fluids 16, pp. 1922-35.
100. Liu, D., and Garimella, S.V. (2004) “Investigation of Liquid Flow in Microchannels,” J. Thermophys. Heat Transf. 18, pp. 65-72.
101. Liu, R.H., Stremler, M.A., Sharp, K.V., Olsen, M.G., Santiago, J.G., Adrian, R.J., Aref, H., and Beebe, D.J. (2000) “Passive Mixing in a Three-Dimensional Serpentine Microchannel,” J. MEMS 9, pp. 190-97.
102. MacInnes, J., Du, X., and Allen, R. (2003) “Prediction of Electrokinetic and Pressure Flow in a Microchannel T-Junction,” Phys. Fluids 15, pp. 1992-2005.
103. Macounova, K., Cabrera, C.R., and Yager, P. (2001) “Concentration and Separation of Proteins in Microfluidic Channels on the Basis of Transverse IEF,” Anal. Chem. 73, pp. 1627-33.
104. Mala, G.M., and Li, D. (1999) “Flow Characteristics of Water in Microtubes,” Int. J. Heat Fluid Flow 20, pp. 142-48.
105. Manz, A., Effenhauser, C.S., Burggraf, N., et al. (1994) “Electroosmotic Pumping and Electrophoretic Separations for Miniaturized Chemical Analysis Systems,” J. Micromech. Microeng. 4, pp. 257-65.
106. Maynes, D., and Webb, A.R. (2002) “Velocity Profile Characterization in Sub-Millimeter Diameter Tubes Using Molecular Tagging Velocimetry,” Exp. Fluids 32, pp. 3-15.
107. Meinhart, C.D., Wereley, S.T., and Santiago, J.G. (1999) “PIV Measurements of a Microchannel Flow,” Exp. Fluids 27, pp. 414-19.
108. Melcher, J.R. (1981) Continuum Electromechanics. MIT Press, Boston.
109. Merkle, C.L., Kubota, T., and Ko, D.R.S. (1974) “An Analytical Study of the Effects of Surface Roughness on Boundary-layer Transition,” AF Office of Scien. Res. Space and Missile Sys. Org., AD/A004786.
110. Mikkers, F.E.P., Everaerts, F.M., and Verheggen, T. (1979) “High-Performance Zone Electrophoresis,” J. Chromatogr. 169, pp. 11-20.
111. Mirowski, W., Moreland, J., Russek, S.E., and Donahue, M.J. (2004) “Integrated Microfluidic Isolation Platform for Magnetic Particle Manipulation in Biological Systems,” Appl. Phys. Lett. 84, pp. 1786-88.
112. Mohammadi, B., Molho, J.I., and Santiago, J.G. (2003) “Incomplete Sensitivities for the Design of Minimal Dispersion Fluidic Channels,” Comput. Meth. Appl. Mech. Eng. 192, pp. 4131-45.
113. Morgan, H., and Green, N.G. (2003) AC Electrokinetics: Colloids and Nanoparticles, Research Studies Press Ltd., Baldock, England.
114. Morini, G.L. (2004) “Laminar-to-Turbulent Flow Transition in Microchannels,” Microscale Thermophys. Eng. 8, pp. 15-30.
115. Myung-Suk, C., and Kwak, H.W. (2003) “Electrokinetic Flow and Electroviscous Effect in a Charged Slit-Like Microfluidic Chan with Nonlinear Poisson-Boltzmann Field,” Korea-Australia Rheol. J. 15, pp. 83-90.
116. Nguyen, N.-T., and Wereley, S. (2002) Fundamentals and Applications of Microfluidics, Artech House, Norwood, MA.
117. Novotny, E.J., and Eckert, R.E. (1974) “Rheological Properties of Viscoelastic Fluids from Continuous Flow through a Channel Approximating Infinite Parallel Plates,” Trans. Soc. Rheol. 18, pp. 1-26.
118. Obot, N.T. (2002) “Toward a Better Understanding of Friction and Heat/Mass Transfer in Microchannels: A Literature Review,” Microscale Thermophys. Eng. 6, pp. 155-73.
119. Oddy, M., and Santiago, J.G. (2004) “Alternating Electric Field Measurements of Particle Zeta-Potentials in a Microchannel,” J. Colloid Interface Sci. 269, pp. 192-204.
120. Oddy, M.H., Santiago, J.G., and Mikkelsen, J.C. (2001) “Electrokinetic Instability Micromixing,” Anal. Chem. 73, pp. 5822-32.
121. Osbourn, D.M., Weiss, D.J., and Lunte, C.E. (2000) “On-Line Preconcentration Methods for Capillary Electrophoresis,” Electrophoresis 21, pp. 2768-79.
122. Overbeek, J.T.G. (1952) “Electrochemistry of the Double Layer,” in Colloid Science, H.R. Kruyt, ed., Elsevier, Amsterdam, pp. 115-277.
123. Ovryn, B. (1999) “Three-Dimensional Forward Scattering Particle Image Velocimetry in a Microscopic Field-of-View,” in Proc. 3rd Intl. Workshop PIV, 16-18 September, Santa Barbara, California, pp. 385-93.
124. Papautsky, I., Brazzle, J., Ameel, T., and Frazier, A.B. (1999a) “Laminar Fluid Behavior in Microchannels Using Micropolar Fluid Theory,” Sensor. Actuator. 73, pp. 101-8.
125. Papautsky, I., Gale, B.K., Mohanty, S., Ameel, T.A., and Frazier, A.B. (1999b) “Effects of Rectangular Microchannel Aspect Ratio on Laminar Friction Constant,” in SPIE Conference on Microfluidic Devices and Systems II, Santa Clara, California, 3877, pp. 147-58.
126. Patankar, N.A., and Hu, H.H. (1998) “Numerical Simulation of Electroosmotic Flow,” Anal. Chm. 20-21 September 1999, 70, pp. 1870-81.
127. Paul, P.H., Arnold, D.W., and Rakestraw, D.J. (1998a) “Electrokinetic Generation of High Pressures Using Porous Microstructures,” in Micro Total Analysis Systems, D.J. Harrison and A. van den Berg, eds., Kluwer Academic Publishers.
128. Paul, P.H., Garguilo, M.G., and Rakestraw, D.J. (1998b) “Imaging of Pressure- and Electrokinetically Driven Flows Through Open Capillaries,” Anal. Chem. Banff, Canada 70, pp. 2459-67.
129. Peng, X.F., Peterson, G.P., and Wang, B.X. (1994) “Frictional Flow Characteristics of Water Flowing through Rectangular Microchannels,” Exp. Heat Transf. 7, pp. 249-64.
130. Pfahler, J., Harley, J., Bau, H., and Zemel, J. (1990a) “Liquid Transport in Micron and Submicron Channels,” Sensor. Actuator. A21-A23, pp. 431-34.
131. Pfahler, J., Harley, J., Bau, H., and Zemel, J.N. (1991) “Gas and Liquid Flow in Small Channels,” in DSCVol. 32, Micromechanical Sensors, Actuators and Systems, ASME Winter Annual Meeting, Atlanta, Georgia, pp. 49-59.
132. Pfahler, J., Harley, J., Bau, H.H., and Zemel, J. (1990b) “Liquid and Gas Transport in Small Channels,” in DSC-Vol. 19, Microstructures, Sensors and Actuators, ASME Winter Annual Meeting, Dallas, Texas, pp. 149-57.
133. Pfund, D., Rector, D., Shekarriz, A., Popsecu, A., and Welty, J. (2000) “Pressure Drop Measurements in a Microchannel,” AIChE J 46, pp. 1496-1507.
134. Phares, D.J., and Smedley, G.T. (2004) “A Study of Laminar Flow of Polar Liquids through Circular Microtubes,” Phys. Fluids 16, pp. 1267-72.
135. Poiseuille, M. (1840, 1841) “Recherches Expérimentales Sur le Mouvement des Liquides dans les Tubes de Très Petits Diametrès,” CR Hebdomaires des Séances Acad. Sci. 11.
136. Probstein, R.F. (1994) Physicochemical Hydrodynamics: An Introduction, 2nd ed., John Wiley & Sons, Inc., New York.
137. Qu, W., Mala, G.M., and Li, D. (2000) “Pressure-Driven Water Flows in Trapezoidal Silicon Microchannels,” Int. J. Heat Mass Transf. 43, pp. 353-64.
138. Quirino, J., and Terabe, S. (1999) “Sample Stacking of Fast-Moving Anions in Capillary Zone Electrophoresis with pH-Suppressed lectroosmotic Flow,” J. Chromatogr. A 850, pp. 339-44.
139. Ramos, A., Morgan, H., Green, N.G., and Castellanos, A. (1998) “AC Electrokinetics: A Review of Forces in Microelectrode Structures,” J. Phys. D: Appl. Phys. 21, pp. 2338-53.
140. Ramos, A., Morgan, H., Green, N.G., and Castellanos, A. (1999) “AC Electric-Field-Induced Fluid Flow in Microelectrodes,” J. Colloid Interface Sci. 21, pp. 420-22.
141. Ren, L., Qu, E., and Li, D. (2001) “Interfacial Electrokinetic Effects on Liquid Flow in Microchannels,” Int. J. Heat Mass Transf. 44, pp. 3125-34.
142. Reyes, D.R., Iossifidis, D., Auroux, P.A., and Manz, A. (2002) “Micro Total Analysis Systems: 1. Introduction, Theory, and Technology,” Anal. Chem. 74, pp. 2623-36.
143. Reynolds, O. (1883) “An Experimental Investigation of the Circumstances which Determine whether the Motion of Water Will Be Direct or Sinuous, and the Law of Resistance in Parallel Channels,” Phil. Trans. Roy. Soc. London 2, p. 51.
144. Rice, C.L., and Whitehead, R. (1965) “Electrokinetic Flow in a Narrow Cylindrical Capillary,” J. Phys. Chem. 69, pp. 4017-24.
145. Righetti, P.G. (1983) Isoelectric Focusing: Theory, Methodology, and Applications, Amsterdam, New York.
146. Ross, D., and Locascio, L.E. (2004) “Microfluidic Temperature Gradient Focusing,” Anal. Chem. 74, pp. 2556-65.
147. Russel, W.B., Saville, D.A., and Schowalter, W.R. (1999) “Colloidal Dispersions,” Cambridge Monographs on Mechanics and Applied Mathematics, G.K. Batchelor, ed., Cambridge University Press, Cambridge, United Kingdom.
148. Santiago, J.G. (2001) “Electroosmotic Flows in Microchannels with Finite Inertial and Pressure Forces,” Anal. Chem. 73, pp. 2353-65.
149. Santiago, J.G., Wereley, S.T., Meinhart, C.D., Beebe, D.J., and Adrian, R.J. (1998) “A Particle Image Velocimetry System for Microfluidics,” Exp. Fluids 25, pp. 316-19.
150. Saville, D. (1997) “Electrohydrodynamics: The Taylor-Melcher Leaky Dielectric Model,” Annu. Rev. Fluid Mech. 29, pp. 27-64.
151. Scales, P., Grieser, F., and Healy, T. (1992) “Electrokinetics of the Silica-Solution Interface: A Flat Plate Streaming Potential Study,” ACS J. Langmuir Surf. Colloids 8, pp. 965-74.
152. Schaller, Th., Bolin, L., Mayer, J., and Schubert, K. (1999) “Microstructure Grooves with a Width Less than 50 m Cut with Ground Hard Metal Micro End Mills,” Precision Eng. 23, pp. 229-35.
153. Schulte, T.H., Bardell, R.L., and Weigl, B.H. (2000) “On-Chip Microfluidic Sample Preparation,” J. Lab. Automat. 5, p. 83.
154. Shah, R.K., and London, A.L. (1978) “Laminar Flow Forced Convection in Ducts,” in series Adv. in Heat Transfer, Supp 1, Academic Press, New York.
155. Sharp, K.V., and Adrian, R.J. (2004) “Transition from Laminar to Turbulent Flow in Liquid Filled Microtubes,” Exp. Fluids 36, pp. 741-47.
156. Smoluchowski, M.V. (1903) Bull. Akad. Sci. Cracovie, Classe Sci. Math. Natur., 1 p. 182.
157. Sobhan, C.B., and Garimella, S.V. (2001) “A Comparative Analysis of Studies on Heat Transfer and Fluid Flow in Microchannels,” Microscale Thermophys. Eng. 5, pp. 293-311.
158. Sounart, T.L., and Baygents, J.C. (2001) “Electrically-Driven Fluid Motion in Channels With Streamwise Gradients of the Electrical Conductivity,” Colloid. Surface. A: Physicochem. Eng. Asp. 195, pp. 59-75.
159. Stone, H.A., Stroock, A.D., and Ajdari, A. (2004) “Engineering Flows in Small Devices: Microfluidics toward a Lab-on-a-Chip,” Annu. Rev. Fluid Mech. 36, pp. 381-411.
160. Tan, W., Fan, Z.H., Qiu, C.X., Ricco, A.J., and Gibbons, I. (2002) “Miniaturized Capillary Isoelectric Focusing in Plastic Microfluidic Devices,” Electrophoresis 23, pp. 3638-45.
161. Taylor, J.A., and Yeung, E.S. (1993) “Imaging of Hydrodynamic and Electrokinetic Flow Profiles in Capillaries,” Anal. Chem. 65, pp. 2928-32.
162. Theeuwes, F. (1987) J. Pharm. Sci. 64 (#12) pp. 1987-91 (1975).
163. Tieu, A.K., Mackenzie, M.R., and Li, E.B. (1995) “Measurements in Microscopic Flow with a Solid-state LDA,” Exp. Fluids 19, pp. 293-94.
164. Tretheway, D.C., and Meinhart, C.D. (2002) “Apparent Fluid Slip at Hydrophobic Microchannel Walls,” Phys. Fluids 14, pp. L9-L12.
165. Tretheway, D.C., and Meinhart, C.D. (2004) “A Generating Mechanism for Apparent Fluid Slip in Hydrophobic Microchannels,” Phys. Fluids 14, pp. L9-L12.
166. Tuckerman, D.B., and Pease, R.F.W. (1981) “High-Performance Heat Sinking for VLSI,” IEEE Electron Device Lett. EDL-2, pp. 126-29.
167. Vreeland, W.N., Williams, S.J., Barron, A.E., and Sassi, A.P. (2003) “Tandem Isotachophoresis-Zone Electrophoresis via Base-Mediated Destacking for Increased Detection Sensitivity in Microfluidic Systems,” Anal. Chem. 75, p. 3059.
168. Wainright, A., Williams, S.J., Ciambrone, G., Xue, Q.F., Wei, J., and Harris, D. (2002) “Sample Pre-Concentration by Isotachophoresis in Microfluidic Devices,” J. Chromatogr. A 979, pp. 69-80.
169. Wang, D., Sigurdson, M., and Meinhart, C. D. (2004) “Experimental Analysis Of Particle and Fluid Motion in AC Electrokinetics,” Exp. Fluids, in press.
170. Weigl, B.H., and Yager, P. (1999) “Microfluidic Diffusion-Based Separation and Detection,” Science 283, pp. 346-47.
171. White, F.M. (1994) Fluid Mechanics, 3rd ed., McGraw-Hill, Inc., New York.
172. White, F.M. (1991) Viscous Fluid Flow, 2nd ed., McGraw-Hill Series in Mechanical Engineering, J.P. Holman and J.R. Lloyd, eds., McGraw-Hill, New York.
173. Wilding, P., Pfahler, J., Bau, H.H., Zemel, J.N., and Kricka, L.J. (1994) “Manipulation and Flow of Biological Fluids in Straight Channels Micromachined in Silicon,” Clin. Chem. 40, pp. 43-47.
174. Woei, T., Fan, H.Z, Qiu, C.X., Ricco, A.J., and Gibbons, I. (2002) “Miniaturized Capillary Isoelectric Focusing in Plastic Microfluidic Devices,” Electrophoresis 23, pp. 3638-45
175. Wu, P., and Little, W.A. (1983) “Measurement of Friction Factors for the Flow of Gases in Very Fine Channels Used for Microminiature Joule-Thomson Refrigerators,” Cryogenics 23, pp. 273-77.
176. Xu, Z.Q., Ando, T., Nishine, T., Arai, A., and Hirokawa, T. (2003) “Electrokinetic Supercharging Preconcentration and Microchip Gel Electrophoretic Separation of Sodium Dodecyl Sulfate-Protein Complexes,” Electrophoresis 24, pp. 3821-27.
177. Yang, H., and Chien, R.-L. (2001) “Sample Stacking in Laboratory-on-a-Chip Devices,” J. Chromatogr. A 924, pp.155-63.
178. Yao, S., and Santiago, J.G. (2003a) “Porous Glass Electroosmotic Pumps: Theory,” J. Colloid Interface Sci. 268, pp.133-42.
179. Yao, S., Hertzog, D.E., Zeng, S., Mikkelsen, J.C., and Santiago, J.G. (2003b) “Porous Glass Electroosmotic Pumps: Design and Experiments,” J. Colloid Interface Sci. 268, pp.143-53.
180. Yazdanfar, S., Kulkarni, M.D., and Izatt, J.A. (1997) “High Resolution Imaging of In Vivo Cardiac Dynamics Using Color Doppler Optical Coherence Tomography,” Opt. Ex. 1, pp. 424-31.
181. Yu, D., Warrington, R., Barron, R., and Ameel, T. (1995) “An Experimental and Theoretical Investigation of Fluid Flow and Heat Transfer in Microtubes,” in Proc. of ASME/JSME Thermal Engineering Joint Conference, 19-24 March, Maui, Hawaii, pp. 523-30.
182. Zeng, S., Chen, C., Mikkelsen, J.C., et al. (2000) “Fabrication and Characterization of Electrokinetic Micro Pumps,” in 7th Intersoc. Conf. on Thermal and Thermomech. Phenomena in Electronic Systems, 23-26 May, Las Vegas, Nevada.
183. Zhao, T.S., and Liao, Q. (2002) “Thermal Effects on Electro-Osmotic Pumping of Liquids in Microchannels,” J. Micromech. Microeng. 12, pp. 962-70.
184. Zhu, Y., and Granick, S. (2001) “Viscosity of Interfacial Water,” Phys. Rev. Lett. 87, pp. 096104-1-096104-4.