Microfluidic circuit analysis I: Ion current relationships for thin slits and pipes

Journal of Colloid and Interface Science

Volumn 365, Issue 1, 2012, Pages 1-15

  Harvie, Dalton J E ^a   Biscombe, Christian J C ^a   Davidson, Malcolm R ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Circuit; Electro osmosis; Electrokinetic; Electroviscous; Microfluidic

Indexed keywords

BOLTZMANN EQUATION; CONSERVATION; ELECTRODYNAMICS; ELECTROLYTES; IONS; MICROFLUIDICS; NETWORKS (CIRCUITS); NUMERICAL METHODS; TIMING CIRCUITS;

ANALYTICAL AND NUMERICAL METHODS; BINARY ELECTROLYTE; BOLTZMANN DISTRIBUTION; CHANNEL INTERSECTIONS; CONSERVATION OF VOLUME; ELECTRO-KINETIC; ELECTROVISCOUS; MICROFLUIDIC CIRCUIT;

ELECTRIC NETWORK ANALYSIS;

ION; ION CHANNEL;

ACCURACY; ARTICLE; CONCENTRATION (PARAMETERS); CONSTANTS AND COEFFICIENTS; DENSITY; ELECTRIC CONDUCTIVITY; ELECTRIC CURRENT; ELECTRIC POTENTIAL; EQUIPMENT DESIGN; FLOW RATE; GEOMETRY; ION CURRENT; MICROFLUIDIC ANALYSIS; MICROFLUIDICS; PRESSURE GRADIENT; PRIORITY JOURNAL; STEADY STATE; SURFACE CHARGE; TEMPERATURE; TUBE; VELOCITY; VISCOSITY;

EID: 80054867767     PISSN: 00219797     EISSN: 10957103     Source Type: Journal    
DOI: 10.1016/j.jcis.2011.07.076     Document Type: Article

References (64)

1. C.J.C. Biscombe, M.R. Davidson, D.J.E. Harvie, J. Colloid Interface Sci., doi:10.1016/j.jcis.2011.07.078.
2. Rice C.L., Whitehead R. J. Phys. Chem. 1965, 69:4017-4024.
3. Dukhin S.S., Derjaguin B.V. Surface and Colloid Science 1974, vol. 7:49-272. Wiley-Interscience.
4. Burgreen D., Nakache F.R. J. Phys. Chem. 1964, 68:1084-1091.
5. Verpoorte E. Electrophoresis 2002, 23:677-712.
6. Ugaz V.M., Elms R.D., Lo R.C., Shaikh F.A., Burns M.A. Philos. Trans. R. Soc. London, A 2004, 362:1105-1129.
7. Squires T.M., Quake S.R. Rev. Mod. Phys. 2005, 77:977-1026.
8. Daiguji H., Yang P., Majumdar A. Nano Lett. 2004, 4:137-142.
9. Daiguji H., Oka Y., Shirono K. Nano Lett. 2005, 5:2274-2280.
10. Gijs M.A.M. Nat. Nanotechnol. 2007, 2:268-270.
11. Vlassiouk I., Smirnov S., Siwy Z. ACS Nano 2008, 2:1589-1602.
12. Daiguji H., Adachi T., Tatsumi N. Phys. Rev. E 2008, 78:026301.
13. Reyes D.R., Iossifidis D., Auroux P.-A., Manz A. Anal. Chem. 2002, 74:2623-2636.
14. Stone H.A., Stroock A.D., Ajdari A. Annu. Rev. Fluid Mech. 2004, 36:381-411.
15. Schoch R.B., Han J., Renaud P. Rev. Mod. Phys. 2008, 80:839-883.
16. Xuan X., Li D. J. Micromech. Microeng. 2004, 14:290-298.
17. Ajdari A. C. R. Phys. 2004, 5:539-546.
18. Berli C.L.A. Colloids. Surf. A 2007, 301:271-280.
19. Mazur P., Overbeek J.Th.G. Recl. Trav. Chim. Pays-Bas 1951, 70:83-91.
20. Finkelstein A., Mauro A. Biophys. J. 1963, 3:215-237.
21. Schultz S.G., Frizzell R.A., Nellans H.N. J. Theor. Biol. 1977, 65:215-229.
22. Hunter R.J. Zeta Potential in Colloid Science 1981, Academic Press, London.
23. Lyklema J. Colloids. Surf. A 2003, 222:5-14. A collection of papers presented at the International Symposium on Electrokinetic Phenomena, Cracow, Poland, August 18-22, 2003.
24. Pennathur S., Santiago J.G. Anal. Chem. 2005, 77:6772-6781.
25. Masliyah J.H., Bhattacharjee S. Electrokinetic and Colloid Transport Phenomena 2006, Wiley Interscience, New Jersey.
26. Wall S. Curr. Opin. Colloid Interface Sci. 2010, 15:119-124.
27. H.-C. Chang, L.Y. Yeo, Electrokinetically Driven Microfluidics and Nanofluidics, Cambridge, 2010.
28. Komagata S. Bull. Chem. Soc. Jpn. 1929, 4:255-264.
29. Rosenhead L., Miller J.C.P., Bikerman J.J. Proc. R. Soc. Lond. A 1937, 163:298-317.
30. Langmuir I. J. Chem. Phys. 1938, 6:873-896.
31. Corkill A.J., Rosenhead L. Proc. R. Soc. Lond. A 1939, 172:410-431.
32. Hildreth D. J. Phys. Chem. 1970, 74:2006-2015.
33. Dresner L. J. Phys. Chem. 1963, 67:1635-1641.
34. Dresner L., Kraus K.A. J. Phys. Chem. 1963, 67:990-996.
35. Morrison F.A., Osterle J.F. J. Chem. Phys. 1965, 43:2111-2115.
36. Levine S., Marriott J.R., Neale G., Epstein N. J. Colloid Interface Sci. 1975, 52:136-149.
37. Anderson J.L., Koh W.-H. J. Colloid Interface Sci. 1977, 59:149-158.
38. Ninham B.W., Parsegian V.A. J. Theor. Biol. 1971, 31:405-428.
39. Qu W., Li D. J. Colloid Interface Sci. 2000, 224:397-407.
40. Wang M., Kang Q., Ben-Naim E. Anal. Chim. Acta 2010, 664:158-164.
41. Ban H., Lin B., Song Z. Biomicrofluidics 2010, 4:014104.
42. Lin H., Storey B.D., Santiago J.G. J. Fluid Mech. 2008, 608:43-70.
43. Mortensen N.A., Olesen L.H., Bruus H. New J. Phys. 2006, 8:37.
44. Davidson M.R., Harvie D.J.E. Chem. Eng. Sci. 2007, 62:4229-4240.
45. Hughes B.T., Berg J.M., James D.L., Ibraguimov A., Liu S., Temkin H. Microfluid Nanofluid 2008, 5:761-774.
46. Bharti R.P., Harvie D.J.E., Davidson M.R. Chem. Eng. Sci. 2008, 63:3593-3604.
47. Mani A., Zangle T.A., Santiago J.G. Langmuir 2009, 25:3898-3908.
48. Delgado A.V., González-Caballero F., Hunter R.J., Koopal L.K., Lyklema J. Pure Appl. Chem. 2005, 77:1753-1805.
49. Taylor J., Ren C.L. Microfluid Nanofluid 2005, 1:356-363.
50. Tessier F., Slater G.W. Electrophoresis 2006, 27:686-693.
51. Levine S., Marriott J.R., Robinson K. J. Chem. Soc., Faraday Trans. 2 1975, 71:1-11.
52. Healy T.W., White L.R. Adv. Colloid Interface Sci. 1978, 9:303-345.
53. Scales P.J., Grieser F., Healy T.W., White L.R., Chan D.Y.C. Langmuir 1992, 8:965-974.
54. Kwak H.S., Hasselbrink E.F. J. Colloid Interface Sci. 2005, 284:753-758.
55. Sørensen T.S., Koefoed J. J. Chem. Soc., Faraday Trans. 2 1974, 70:665-675.
56. Brunet E., Ajdari A. Phys. Rev. E 2004, 69:016306.
57. Debye P., Hückel E. Phys. Z. 1923, 24:185-206.
58. Verwey E.J.W., Overbeek J.Th.G. Theory of the Stability of Lyophobic Colloids 1948, Elsevier.
59. Gradshteyn I.S., Ryzhik I.M. Table of Integrals, Series and Products 1980, Academic Press.
60. Gouy J. Phys. Theor. Appl. 1910, 9:457-468.
61. Stein D., Kruithof M., Dekker C. Phys. Lett. 2004, 93:035901.
62. CRC Handbook of Chemistry and Physics 1995, CRC Press. 76th ed. D.R. Lide (Ed.).
63. Schoch R.B., Renaud P. Appl. Phys. Lett. 2005, 86:253111.
64. Dubois M., Zemb T., Belloni L., Delville A., Levitz P., Setton R. J. Chem. Phys. 1992, 96:2278-2286.