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Contrasting, for example, with Pashley, R. M.; Israelachvili, J. N. J. Coll. Interface Sci. 1984, 101, 511
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For an early analysis of flow around a sphere approaching a surface in a viscous fluid, see Brenner, H. Chem. Eng, Sci. 1961, 16, 242.
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See, for example, Batchelor, G. K. An Introduction to Fluid Mechanics; Cambridge University Press: Cambridge, U.K., 1967; pp 219-222.
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Another such situation involves dramatically enhanced viscosity for nonpolar liquids, when nanoconfinement drives their solidification. Klein and Kumacheva (Klein, J.; Kumacheva, E. J. Chem. Phys. 1998, 108, 6996), in their Appendix A, propose to interpret the drag forces they measure in this case via a viscosity that varies with distance from the tip axis according to the corresponding distance between the tip and sample surfaces, that is, the local degree of nanoconfinement. Analyzing and solving that model is beyond the scope of the present work, however.
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Major, R. C.; Houston, J. E.; McGrath, M. J.; Siepmann, J. I.; Zhu, X.-Y. University of Minnesota, Department of Chemistry, Sandia National Laboratories, Albuquerque, NM. Unpublished work, 2005
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Major, R. C.; Houston, J. E.; McGrath, M. J.; Siepmann, J. I.; Zhu, X.-Y. University of Minnesota, Department of Chemistry, Sandia National Laboratories, Albuquerque, NM. Unpublished work, 2005.
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15
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84858553907
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"Slightly" rough means there is a small parameter in the theory, namely, the mean roughness amplitude compared to the average distance between bumps
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"Slightly" rough means there is a small parameter in the theory, namely, the mean roughness amplitude compared to the average distance between bumps.
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17
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24144495037
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Foss, J., Tropea, C., Yarin, A., Eds.; Springer: New York, Chapter 15, Section 5.1
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See also, Lauga, E.; Brenner, M. P.; Stone, H. A. Handbook of Experimental Fluid Dynamics; Foss, J., Tropea, C., Yarin, A., Eds.; Springer: New York, 2005; Chapter 15, Section 5.1.
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