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Rolling droplets. (English) Zbl 1149.76466

Editorial remark: No review copy delivered

MSC:

76-XX Fluid mechanics

References:

[1] R. F. Allen and P. R. Benson, ”Rolling drops on an inclined plane,” J. Colloid Interface Sci. JCISA550, 250 (1975). · doi:10.1016/0021-9797(75)90227-1
[2] D. J. Benney and W. J. Timson, ”The rolling motion of a viscous fluid on and off a rigid surface,” Stud. Appl. Math. SAPMB663, 93 (1980). · Zbl 0476.76041 · doi:10.1002/sapm198063293
[3] E. B. Dussan and S. H. Davis, ”On the motion of a fluid–fluid interface along a solid surface,” J. Fluid Mech. JFLSA765, 71 (1974). · Zbl 0282.76004 · doi:10.1017/S0022112074001261
[4] F. Domingues dos Santos and T. Ondarcahu, ”Free running droplets,” Phys. Rev. Lett. PRLTAO75, 2972 (1995). · doi:10.1103/PhysRevLett.75.2972
[5] D. R. Gwynllyw and D. H. Peregrine, ”Numerical Simulations of Stokes flow down an inclined plane,” Proc. R. Soc. London, Ser. A PRLAAZ452, 543 (1996). · Zbl 0935.76019 · doi:10.1098/rspa.1996.0028
[6] C. Huh and L. E. Scriven, ”Hydrodynamic model of steady movement of a solid–liquid–fluid contact line,” J. Colloid Interface Sci. JCISA535, 85 (1971). · doi:10.1016/0021-9797(71)90188-3
[7] K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1986). · Zbl 0599.73108
[8] C. G. Ngan and E. B. Dussan, ”The moving contact line with a 180{\(\deg\)} advancing contact angle,” Phys. Fluids PFLDAS27, 2785 (1984). · doi:10.1063/1.864591
[9] T. Onda, S. Shibuichi, N. Satoh, and T. Tsujii, ”Super-water-repellant fractal surfaces,” Langmuir LANGD512, 2125 (1996). · doi:10.1021/la950418o
[10] L. Pismen and A. Nir, ”Motion of a contact line,” Phys. Fluids PFLDAS25, 3 (1982). · Zbl 0511.76036 · doi:10.1063/1.863626
[11] L. Pismen and Y. Pomeau, ”Phase field model for moving contact lines,” preprint.
[12] D. Richard and D. Quere, ”Drops rolling on a tilted non-wettable solid,” preprint.
[13] Lord Rayleigh, Theory of Sound (Dover, New York, 1945), Chap. 19.
[14] P. Seppecher, ”Moving contact lines in the Cahn-Hilliard theory,” Int. J. Eng. Sci. IJESAN34, 977 (1996). · Zbl 0899.76042 · doi:10.1016/0020-7225(95)00141-7
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