Instability of electrokinetic microchannel flows with conductivity gradients

Physics of Fluids

Volumn 16, Issue 6, 2004, Pages 1922-1935

  Lin, Hao ^a   Storey, Brian D ^b   Oddy, Michael H ^a   Chen, Chuan Hua ^a   Santiago, Juan G ^a  

^a Stanford University   (United States)

^b FRANKLIN W OLIN COLLEGE OF ENGINEERING   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTIVITY; ELECTROLYTES; ELECTROPHORESIS; LIQUIDS; MICROPROCESSOR CHIPS;

ELECTROKINETIC FLOW; MICROCHANNEL FLOW; SPATIAL GRADIENTS;

CONFINED FLOW;

CHANNEL FLOW; ELECTRICAL CONDUCTIVITY; ELECTROKINESIS; KINETICS; MATHEMATICAL ANALYSIS; REYNOLDS NUMBER;

EID: 2942635368     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1710898     Document Type: Article

References (35)

1. A. Manz, N. Graber, and H. Widmer, "Miniaturized total chemical analysis systems: A novel concept for chemical sensing," Sens. Actuators B 1, 244 (1990).
2. G. H. W. Sanders and A. Manz, "Chip-based microsystems for genomic and proteomic analysis," TrAC, Trends Anal. Chem. 19, 364 (2000).
3. P. A. Auroux, D. Iossifidis, D. R. Reyes, and A. Manz, "Micro total analysis systems. 2. Analytical standard operations and applications," Anal. Chem. 74, 2637 (2002).
4. A. vandenBerg and T. S. J. Lammerink, "Micro total analysis systems: Microfluidic aspects, integration concept, and applications," Top. Curr. Chem. 194, 21 (1998).
5. L. Bousse, C. Cohen, T. Nikifotov, A. Chow, A. Kopf-Sill, R. Dubrow, and J. Parce, "Electrokinetically controlled microfluidic analysis systems," Annu. Rev. Biophys. Biomol. Struct. 29, 155 (2000).
6. R. Probstein, Physicochemical Hydrodynamics (Wiley, New York, 1994).
7. R. J. Hunter, Zeta Potential in Colloid Science (Academic, London, 1981).
8. J. G. Santiago, "Electroosmotic flows in micro-channels with finite inertial and pressure forces," Anal. Chem. 73, 2353 (2001).
9. G. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, London, 1967).
10. J. F. Hoburg and J. R. Melcher, "Internal electrohydrodynamic instability and mixing of fluids with orthogonal field and conductivity gradients," J. Fluid Mech. 73, 333 (1976).
11. J. C. Baygents and F. Baldessari, "Electrohydrodynamic instability in a thin fluid layer with an electrical conductivity gradient," Phys. Fluids 10, 301 (1998).
12. D. A. Saville, "Electrohydrodynamics: The Taylor-Melcher leaky dielectric model," Annu. Rev. Fluid Mech. 29, 27 (1997).
13. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, London, 1989).
14. V. G. Levich, Physicochemical Hydrodynamics (Prentice Hall, Englewood Cliffs, NJ, 1962).
15. J. R. Melcher, Continuum Electromechanics (MIT Press, Cambridge, 1981).
16. J. R. Melcher and G. I. Taylor, "Electrohydrodynamics: A review of the role of interfacial shear stresses," Annu. Rev. Fluid Mech. 1, 111 (1969).
17. Electrohydrodynamics, edited by A. Castellanos (Springer-Verlag, New York, 1998).
18. J. F. Hoburg and J. R. Melcher, "Electrohydrodynamic mixing and instability induced by colinear fields and conductivity gradients," Phys. Fluids 20, 903 (1977).
19. J. R. Melcher and W. J. Schwarz, "Interfacial relaxation overstability in a tangential electric field," Phys. Fluids 11, 2604 (1968).
20. Y. Ben, E. A. Demekhin, P. V. Takhistov, and H.-C. Chang, "Miscible fingering in electrokinetic flow," J. Chin. Inst. Chem. Eng. 33, 15 (2002).
21. D. S. Burgi and R. L. Chien, "Field amplified sample stacking (FASS): Optimization in sample stacking for high-performance capillary electrophoresis," Anal. Chem. 63, 2042 (1991).
22. A. E. Herr, J. I. Molho, K. A. Drouvalakis, J. C. Mikkelsen, P. J. Utz, J. G. Santiago, and T. W. Kenny, "On-chip coupling of isoelectric focusing and free solution electrophoresis for multidimensional separations," Anal. Chem. 75, 1180 (2003).
23. S. C. Jacobson and J. M. Ramsey, "Electrokinetic focusing in microfabricated channel structures," Anal. Chem. 69, 3212 (1997).
24. C. H. Chen and J. G. Santiago, "Electrokinetic instability in high concentration gradient microflows," Proceedings of IMECE-2002, New Orleans, LA, CD vol. 1, #33563 (2002).
25. C. H. Chen, H. Lin, S. K. Lele, and J. G. Santiago, "Electrokinetic microflow instability with conductivity gradients," Proceedings of μTAS2003, Squaw Valley, CA (2003).
26. J. M. Ramsey, S. C. Jacobson, and M. R. Knapp, "Microfabricated chemical measurement systems," Nature Medicine 1, 1093 (1995).
27. M. H. Oddy, J. G. Santiago, and J. C. Mikkelsen, "Electrokinetic instability and micromixing," Anal. Chem. 73, 5822 (2001).
28. R. Pottel, "Dielectric properties," in Water: A Comprehensive Treatise, edited by F. Franks (Plenum, New York, 1973), Vol. 3, p. 421.
29. A. L. Horvath, Handbook of Aqueous Electrolyte Solutions (Wiley, New York, 1985).
30. P. J. Scales, F. Grieser, and T. W. Healy, "Electrokinetics of the silica-soltion interface: A flat plate streaming potential study." Langmuir 8, 965 (1992).
31. S. Yao, D. E. Hertzog, S. Zeng, J. C. Mikkelsen, and J. G. Santiago, "Porous glass electroosmotic pumps: Design and experiments," J. Colloid Interface Sci. 263, 143 (2003).
32. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University Press, London, 1981).
33. L. N. Trefethen, Spectral Methods in MATLAB (SIAM, Philadelphia, 2001).
34. J. A. C. Weideman and S. C. Reddy, "A MATLAB Differentiation Matrix Suite," ACM Trans. Math. Softw. 26, 465 (2000).
35. R. Peyret, Spectral Methods for Incompressible Viscous Flow (Springer-Verlag, New York, 2002).