Drops climbing uphill on an oscillating substrate

Journal of Fluid Mechanics

Volumn 674, Issue , 2011, Pages 93-119

  Benilov, E S ^a   Billingham, J ^b  

^a UNIVERSITY OF LIMERICK   (Ireland)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

capillary flows; drops; thin films

Indexed keywords

CAPILLARY FLOW; ENGINEERING; FLUID MECHANICS; THIN FILMS;

CROSS PLANES; IN-PHASE; INCLINED PLANES; SHALLOW WATER MODEL;

DROPS;

CAPILLARITY; DROPLET; INERTIA; SHALLOW-WATER EQUATION; SUBSTRATE; SURFACE TENSION;

EID: 79955986955     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010006452     Document Type: Article

References (11)

1. Benilov, E. S. 2010 Drops climbing uphill on a slowly oscillating substrate. Phys. Rev. E 82, 026320.
2. Brunet, P., Eggers, J. & Deegan, R. D. 2007 Vibration-induced climbing of drops. Phys. Rev. Lett. 99, 144501.
3. Brunet, P., Eggers, J. & Deegan, R. D. 2009 Motion of a drop driven by substrate vibrations. Eur. Phys. J. Special Topics 166, 11-14.
4. Ceniceros, H. D. & Hou, T. Y. 1998 Convergence of a non-stiff boundary integral method for interfacial flows with surface tension. Math. Comput. 67, 137-182.
5. Daniel, S., Chaudhury, M. K. & de Gennes, P.-G. 2005 Vibration-actuated drop motion on surfaces for batch microfluidic processes. Langmuir 21, 4240-4248. (Pubitemid 40654639)
6. Davis, S. H. 2002 Interfacial fluid dynamics. In Perspectives in Fluid Dynamics: A Collective Introduction to Current Research (ed. G. K. Batchelor, H. K. Moffatt & M. G. Worster), pp. 1-51. Cambridge University Press.
7. Dold, J. W. 1992 An efficient surface-integral algorithm applied to unsteady gravity waves. J. Comput. Phys. 103, 90-115.
8. Hocking, L. M. 1987 The damping of capillary gravity-waves at a rigid boundary. J. Fluid Mech. 179, 253-266. (Pubitemid 17622724)
9. Hocking, L. M. & Davis, S. H. 2002 Inertial effects in time-dependent motion of thin films and drops. J. Fluid Mech. 467, 1-17.
10. King, A. C. 1991 Moving contact lines in slender fluid wedges. Q. J. Mech. Appl. Maths 44, 173-192. (Pubitemid 21669984)
11. Noblin, X., Kofman, R. & Celestini, F. 2009 Ratchetlike motion of a shaken drop. Phys. Rev. Lett. 102, 194504.