Abstract
The determination of the nature of fluid flow at small scales is becoming increasingly important because of the emergence of new technologies. These techologies include Micro- Electro Mechanical Systems (MEMS) comprising micro-scale heat engines, micro-aerial vehicles and micro pumps and compressors and many other systems. Moreover, newideas in the area of drug delivery and its control, inDNA and biomolecular sensing, manipulation and transport and the desire to manufacture laboratories on a microchip (lab-on-a-chip) require the analysis and computation of flows on a length scale approaching molecular dimensions. On these small scales, new flow features appear which are not seen in macro-scale flows. In this chapter we review the state-of-th-art in modeling liquid flows at nanoscale with particular attention paid to liquid mixture flows applicable to rapid molecular analysis and drug delivery and other applications in biology
The determination of the nature of fluid flow at small scales is becoming increasingly important because of the emergence of new technologies. These techologies include Micro- Electro Mechanical Systems (MEMS) comprising micro-scale heat engines, micro-aerial vehicles and micro pumps and compressors and many other systems. Moreover, newideas in the area of drug delivery and its control, inDNA and biomolecular sensing, manipulation and transport and the desire to manufacture laboratories on a microchip (lab-on-a-chip) require the analysis and computation of flows on a length scale approaching molecular dimensions. On these small scales, new flow features appear which are not seen in macro-scale flows. In this chapter we review the state-of-th-art in modeling liquid flows at nanoscale with particular attention paid to liquid mixture flows applicable to rapid molecular analysis and drug delivery and other applications in biology
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References
R.A. Robinson and R.H. Stokes. Electrolyte Solutions, Aademic Press: New York, p. 284, 1959.
J.S. Newman. Electrochemical Systems, Prentice-Hall, Englewood Cliffs, NJ, p. 138, 1973.
R.J. Hunter. Zeta Potential in Colloid Science, Academic Press: London, p. 59, 1981.
R.F. Probstein. Physicochemical Hydrodynamics, Butterworths: Boston, p. 161, 1989.
Paul Delahay. Double Layer and Electrode Kinetics, Wiley Interscience, New York, 1965.
John O’M. Bockris and Amulya K.N. Reddy. Modern Electrochemistry, Volume 1 Ionics, (2 Ed.), Plenum Press, New York, London, pp. 273f, 1998.
J. Israelachvili. Intermolecular and Surface Forces, (2 Ed.), Academic Press, London, 1991.
[8] Private communication by Tony Boiarski, 2002.
D. Hansford, T. Desai, and M. Ferrari. Nanoscale size-based biomoleculart separation technology, In J. Cheng, and L.J. Kricka (eds.), Biochip Technology, Harwood Academic Publishers, 341, 2001.
E.J.W. Verwey and J.Th. G. Overbeek. Theory of Stability of Lyophobic Colloids, Esevier: Amsterdam, 1948.
W. Qu and D. Li. A model for overlapped EDL fields. J. Coll. Interface Sci., 224:397, 2000.
D. Burgeen and F.R. Nakache. Electrokinetic flow in ultrafine capillary slits. J. Phys. Chem., 68:1084, 1964.
S. Levine, John R. Marriott, and Kenneth Robinson. Theory of electrokinetic flow in a narrow parallel-plate channel. Farad. Trans., II, 71:1, 1975.
C.L. Rice and R. Whitehead. Electrokinetic flow in a narrow capillary. J. Phys. Chem., 69(11):4017, 1965.
S. Levine, J.R. Marriott, G. Neale, and N. Epstein, N. Theory of electrokinetic flow in fine cylindrical capillaries at high zeta potentials. J. Coll. Int. Sci., 52(1):136, 1975.
A.T. Conlisk, Jennifer McFerran, Zhi Zheng, and Derek Hansford. Mass transfer and flow in electrically charged micro-and nano-channels. Anal. Chem., 74(9):2139, 2002.
Zhi Zheng, Derek J, Hansford, and A.T. Conlisk. Effect of multivalent ions on electroosmotic flow in micro and nanochannels. Electrophoresis, 24:3006, August 2003.
H.L.F. Helmholtz. Ann. Physik., 7(3):337, 1879.
P. Debye, and E. Huckel. The interionic attraction theory of deviations from ideal behavior in solution. Z. Phys., 24:185, 1923.
G. Gouy. About the electric charge on the surface of an electrolyte. J. Physics A, 9:457, 1910.
D.L. Chapman. A contribution to the theory of electrocapillarity. Phil. Mag., 25:475, 1913.
O. Stern. The theory of the electrolytic double layer. Z. Elektrochem., 30:508, 1924.
J. Kevorkian, and J.D. Cole. Perturbation Methods in Applied Mathematics, Springer-Verlag, New York, 1981.
S.C. Jacobson, S.V. Ermakov, and J.M. Ramsey. Minimizing the number of voltage sources and fluid reservoirs for electrokinetic valving in microfluidic devices. Anal. Chem., 71:3273, 1999.
R. Sadr, M. Yoda, Z. Zheng, and A.T. Conlisk. An experimental study of electroosmotic flow in rectangular microchannels. J. Fluid Mech., 506:357, 2004.
J.B. Freund. Electro-osmosis in a Nanometer-scale Channel Studied by Atomistic Simulation. J. Chem. Phys., 116(5):2194, 2002.
R. Qiao and N.R. Aluru. Ion Concentrations and Velocity Profiles in Nanochannel Electroosmotic Flows. J. Chem. Phys., 118(10):4692, 2003.
W. Zhu, S.J. Singer, Z. Zheng, and A.T. Conlisk. Electroosmotic Flow of a Model Electrolyte. Phys. Rev., E 71(4):41501, 2005.
A.J. Corkhill and L. Rosenhead. Distribution of Charge and Potential in an Electrolyte Bounded by Two Infinite Parallel Plates. Proc. Royal Soc., 172(950):410, 1939.
S. Levine and A. Suddaby. Simplified Forms for Free Energy of the Double Layers of Two Plates in a Symmetrical Electrolyte. Proc. Phys. Soc., A 64(3):287, 1951.
H.J.C. Berendsen, J.P.M. Postma, W.F. von Gunsteren, and J. Hermans. Interaction Models for Water in Relation to Protein Hydration. In B. Pullman (ed.), Intermolecular Forces. Reidel, Dordrecht, Holland, p. 331, 1981.
H.J.C. Berendsen, J.R. Grigera, and T.P. Straatsma. The Missing Term in Effective Pair Potentials. J. Phys. Chem., 91(24):6269, 1987.
L. Onsager and N.N.T. Samaras. The Surface Tension of Debye-Hückel Electrolytes. J. Chem. Phys., 2(8):1934.
K.P. Travis and K.E. Gubbins. Poiseuille Flow of Lennard-Jones Fluids in Narrow Slit Pores. J. Chem. Phys., 112(4):1984, 2000.
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Conlis, A.T., Singer, S. (2006). Modeling Electroosmotic Flow in Nanochannels. In: Ferrari, M., Bashir, R., Wereley, S. (eds) BioMEMS and Biomedical Nanotechnology. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-25845-4_15
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DOI: https://doi.org/10.1007/978-0-387-25845-4_15
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