Dispersion due to wall interactions in microfluidic separation systems

Physics of Fluids

Volumn 20, Issue 1, 2008, Pages

  Datta, Subhra ^a   Ghosal, Sandip ^a  

^a Northwestern University   (United States)

Author keywords

Adsorption; Chemical analysis; Desorption; Microchannel flow

Indexed keywords

ADSORPTION; ASYMPTOTIC ANALYSIS; CAPILLARY ELECTROPHORESIS; CAPILLARY FLOW; DESORPTION; ELECTROOSMOSIS; FLOW FIELDS; FLOW SEPARATION; MICROCHANNELS; NUMERICAL METHODS; OPEN CHANNEL FLOW; WALL FLOW;

ASYMPTOTIC EQUATION; MICROCHANNEL FLOW; MICROFLUIDIC SEPARATION SYSTEM; ONE-DIMENSIONAL TRANSPORT EQUATION;

MICROFLUIDICS;

ADSORPTION; ASYMPTOTIC ANALYSIS; CAPILLARY ELECTROPHORESIS; CAPILLARY FLOW; DESORPTION; ELECTROOSMOSIS; FLOW FIELDS; FLOW SEPARATION; MICROCHANNELS; MICROFLUIDICS; NUMERICAL METHODS; OPEN CHANNEL FLOW; WALL FLOW;

EID: 38949202605     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2828098     Document Type: Article

References (50)

1. H. A. Stone, A. D. Stroock, and A. Ajdari, "Engineering flows in small devices: Microfluidics toward a lab-on-a-chip," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.36.050802.122124 36, 381 (2004).
2. J. A. Wilkins and C. Horváth, "Capillary electrochromatography of peptides and proteins," Electrophoresis ELCTDN0173-083510.1002/elps.200305920 25, 2242 (2004).
3. Electrokinetic Phenomena: Principles and Applications in Analytical Chemistry and Microchip Technology, edited by A. S. Rathore and A. Guttman (Marcell Dekker, New York, 2004).
4. M. Pačes, J. Kosek, M. Marek, U. Tallarek, and A. Seidel-Morgenstern, "Mathematical modelling of adsorption and transport processes in capillary electrochromatography: Open-tubular geometry," Electrophoresis ELCTDN0173-083510.1002/elps.200390048 24, 380 (2003).
5. J. K. Towns and F. E. Regnier, "Impact of polycation adsorption on efficiency and electro-osmotically driven transport in capillary electrophoresis," Anal. Chem. ANCHAM0003-270010.1021/ac00045a003 64, 2473 (1992).
6. M. R. Schure and A. M. Lenhoff, "Consequences of wall adsorption in capillary electrophoresis: Theory and simulation," Anal. Chem. ANCHAM0003-270010.1021/ac00069a015 65, 3024 (1993).
7. S. Ghosal, "The effect of wall interactions on capillary zone electrophoresis," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112003005330 491, 285 (2003).
8. R. Probstein, Physicochemical Hydrodynamics (Wiley, New York, 1994).
9. S. Ghosal, "Electrokinetic flow and dispersion in capillary electrophoresis," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.38.050304.092053 38, 309 (2006).
10. C. Yang and D. Li, "Analysis of electrokinetic effects on the liquid flow in rectangular microchannels," Colloids Surf., ACPEAEH0927-775710.1016/S0927-7757(98)00259-3 143, 339 (1998).
11. G. I. Taylor, "Dispersion of soluble matter in solvent flowing slowly through a tube," Proc. R. Soc. London, Ser. APRLAAZ1364-502110.1098/rspa.1953.0139 219, 186 (1953).
12. R. Aris, "On the dispersion of a solute in a fluid flowing through a tube," Proc. R. Soc. London, Ser. APRLAAZ1364-502110.1098/ rspa.1956.0065 235, 67 (1956).
13. S. Devasenathipathy, J. G. Santiago, and K. Takehara, "Particle tracking techniques for electrokinetic microchannel flows," Anal. Chem. ANCHAM0003-270010.1021/ac011243s 74, 3704 (2002).
14. A. Ajdari, "Electro-osmosis on inhomogeneously charged surfaces," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.75.755 75, 755 (1995).
15. A. Ajdari, "Generation of transverse fluid currents and forces by an electric field: Electro-osmosis on charge-modulated and undulated surfaces," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.53.4996 53, 4996 (1996).
16. J. K. Towns and F. E. Regnier, "Capillary electrophoretic separations of proteins using nonionic surfactant coatings," Anal. Chem. ANCHAM0003-2700 91, 1126 (1992).
17. M. S. Munson, M. S. Hasenbank, E. Fu, and P. Yager, "Suppression of nonspecific adsorption using sheath flow," Lab Chip LCAHAM1473-019710.1039/b407765b 4, 438 (2004).
18. S. C. Jacobson, R. Hergenroeder, L. B. Koutny, and J. M. Ramsey, "Open channel electrochromatography on a microchip," Anal. Chem. ANCHAM0003-270010.1021/ac00086a024 66, 2369 (1994).
19. J. H. Knox, "Thermal effects and band spreading in capillary electro-separation," Chromatographia CHRGB70009-589310.1007/ BF02268176 26, 329 (1988).
20. U. Tallarek, E. Rapp, T. Scheenen, E. Bayer, and H. Van As, "Electroosmotic and pressure-driven flow in open and packed capillaries: Velocity distributions and fluid dispersion," Anal. Chem. ANCHAM0003-270010.1021/ac991303i 72, 2292 (2000).
21. M. C. Breadmore, M. Boyce, M. Macka, N. Avdalovic, and P. R. Haddad, "Peak shapes in open tubular ion-exchange capillary electrochromatography of inorganic anions," J. Chromatogr., AJCRAEY0021-967310.1016/S0021-9673(00)00092-3 892, 303 (2000).
22. K. Shariff and S. Ghosal, "Peak tailing in electrophoresis due to alteration of the wall charge by adsorbed analytes: Numerical simulations and asymptotic theory," Anal. Chim. Acta ACACAM0003-267010.1016/j.aca.2003.10.052 507, 87 (2003).
23. S. Ghosal, "Fluid mechanics of electro-osmotic flow and its effect on band broadening in capillary electrophoresis," Electrophoresis ELCTDN0173-083510.1002/elps.200305745 25, 214 (2004).
24. M. J. E. Golay, "Theory of chromatography in open and coated tubular columns with round and rectangular cross sections," in Gas Chromatography 1958: Proceedings of the Second Symposium, Amsterdam, May 19-23, 1958, edited by D. H. Desty (Butterworths Scientific, London, 1958), pp. 36-45.
25. J. C. Giddings, Dynamics of Chromatography, Part I, Principles and Theory (Marcel Dekker, New York, 1965).
26. R. Aris, "On the dispersion of a solute by diffusion, convection and exchange between phases," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 252, 538 (1959).
27. J. C. Giddings, "Generation of variance, "theoretical plates," resolution, and peak capacity in electrophoresis and sedimentation," Sep. Sci. SESCAI0037-2366 4, 181 (1969).
28. J. R. Conder and C. L. Young, Physicochemical Measurement by Gas Chromatography (Wiley, Chichester, 1979).
29. L. R. Snyder and J. J. Kirkland, Introduction to Modern Liquid Chromatography (Wiley, New York, 1979).
30. B. Verzola, C. Gelfi, and P. G. Righetti, "Protein adsorption to the bare silica wall in capillary electrophoresis quantitative study on the chemical composition of the background electrolyte for minimizing the phenomenon," J. Chromatogr., A JCRAEY0021-9673 868, 85 (2000).
31. A. T. Conlisk, J. McFerran, Z. Zheng, and D. Hansford, "Mass transfer and flow in electrically charged micro- and nanochannels," Anal. Chem. ANCHAM0003-270010.1021/ac011198o 74, 2139 (2002).
32. G. Desmet and G. V. Baron, "On the possibility of shear-driven chromatography: A theoretical performance analysis," J. Chromatogr., A JCRAEY0021-967310.1016/S0021-9673(99)00652-4 855, 57 (1999).
33. S. Debesset, C. J. Hayden, C. Dalton, J. C. T. Eijkel, and A. Manz, "An ac electro-osmotic micropump for circular chromatographic applications," Lab Chip LCAHAM1473-019710.1039/b314123c 4, 396 (2004).
34. H. Brenner and D. A. Edwards, Macrotransport Processes (Butterworth-Heinemann, Boston, 1993).
35. R. Sankarasubramanian and W. N. Gill, "Unsteady convective diffusion with interphase mass transfer," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 333, 115 (1973).
36. E. M. Lungu and H. K. Moffatt, "The effect of wall conductance on heat diffusion in duct flow," J. Eng. Math. JLEMAU0022-0833 16, 121 (1982).
37. G. N. Mercer and A. J. Roberts, "A centre manifold description of contaminant dispersion in channels with varying flow properties," SIAM J. Appl. Math. SMJMAP0036-139910.1137/0150091 50, 1547 (1990).
38. G. Dahlquist, Numerical Methods (Courier Dover, New York, 2003), pp. 349.
39. S. Datta, S. Ghosal, and N. A. Patankar, "Electro-osmotic flow in a rectangular channel with variable wall zeta-potential: Comparison of numerical simulation with asymptotic theory," Electrophoresis ELCTDN0173-083510.1002/elps.200500618 27, 611 (2006).
40. D. Dutta and D. T. Leighton, "A low dispersion geometry for microchip separation devices," Anal. Chem. ANCHAM0003-270010.1021/ ac010718c 74, 1007 (2002).
41. 2 was missed in Ref., though the final equations are unaffected since the correction does not have contributions at the level of lubrication theory.
42. S. Ghosal, "Lubrication theory for electro-osmotic flow in a channel of slowly varying cross-section and wall charge," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002007899 459, 103 (2002).
43. M. R. Doshi, P. M. Daiya, and W. N. Gill, "Three dimensional laminar dispersion in open and closed rectangular conduits," Chem. Eng. Sci.CESCAC0009-250910.1016/0009-2509(78)85168-9 33, 795 (1978).
44. P. C. Chatwin and P. J. Sullivan, "The effect of aspect ratio on longitudinal diffusivity in rectangular channels," J. Fluid Mech. JFLSA70022-112010.1017/S0022112082002791 120, 347 (2006).
45. R. Datta and V. R. Kotamarthi, "Electrokinetic dispersion in capillary electrophoresis," AIChE J. AICEAC0001-154110.1002/ aic.690360613 36, 916 (1990).
46. A. Ajdari, "Electrokinetic 'ratchet' pumps for microfluidics," Appl. Phys. A: Mater. Sci. Process. APAMFC0947-839610.1007/s003390201329 75, 271 (2002).
47. J. H. Ferziger and M. Peric, Computational Methods for Fluid Dynamics (Springer, New York, 2002).
48. S. V. Patankar, Numerical Heat Transfer and Fluid Flow (Hemisphere, Washington, 1980), p. 126.
49. N. A. Patankar and H. H. Hu, "Numerical simulation of electro-osmotic flow," Anal. Chem. ANCHAM0003-270010.1021/ac970846u 70, 1870 (1998).
50. B. J. Kirby and E. F. Hasselbrink, "Zeta potential of microfluidic substrates: 1. Theory, experimental techniques, and effects on separations," Electrophoresis ELCTDN0173-083510.1002/elps.200305754 25, 187 (2004).