Sink flow deforms the interface between a viscous liquid and air into a tip singularity

Physical Review Letters

Volumn 96, Issue 3, 2006, Pages

  Courrech Du Pont, S ^a   Eggers, J ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AIR ENTRAINMENT; DEFORMATION; INTERFACES (MATERIALS); MICROSCOPES;

CONSTANT FLOW RATE; SINK FLOW; VISCOUS LIQUID;

FLOW OF FLUIDS;

EID: 32644476669     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.034501     Document Type: Article

References (27)

1. J. Eggers, Phys. Rev. Lett. 71, 3458 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.3458
2. A. Rothert, R. Richter, and I. Rehberg, Phys. Rev. Lett. 87, 084501 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.084501
3. J. Eggers, J. Lister, and H. Stone, J. Fluid Mech. 401, 293 (1999). JFLSA7 0022-1120 10.1017/S002211209900662X
4. L. Landau and E. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1984).
5. J. Eggers, Phys. Rev. Lett. 86, 4290 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.4290
6. E. Lorenceau, F. Restagno, and D. Quéré, Phys. Rev. Lett. 90, 184501 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.184501
7. G. Taylor, Proc. R. Soc. A PRLAAZ 0080-4630 146, 501 (1934).
8. I. Cohen and S.R. Nagel, Phys. Rev. Lett. 88, 074501 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.074501
9. S. Chaieb, physics/0404088.
10. J. Eggers, in A Perspective Look at Nonlinear Media in Physics, Chemistry, and Biology, edited by, J. Parisi, S.C. Mueller, and, W. Zimmermann, (Springer, Berlin, 1998), p. 305.
11. L. Kadanoff, Phys. Today 50, No. 9, 11 (1997). PHTOAD 0031-9228
12. J.-T. Jeong and H. Moffatt, J. Fluid Mech. 241, 1 (1992). JFLSA7 0022-1120
13. H. Stone, Annu. Rev. Fluid Mech. 26, 65 (1994). ARVFA3 0066-4189 10.1146/annurev.fl.26.010194.000433
14. A. Gañán-Calvo, Phys. Rev. Lett. 80, 285 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.285
15. I. Cohen, Phys. Rev. E 70, 026302 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.026302
16. A. Gañán-Calvo and J. Gordillo, Phys. Rev. Lett. 87, 274501 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.274501
17. H. Stone, A. Stroock, and A. Ajdari, Annu. Rev. Fluid Mech. 36, 381 (2004). ARVFA3 0066-4189 10.1146/annurev.fluid.36.050802.122124
18. W. Zhang, Phys. Rev. Lett. 93, 184502 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.184502
19. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1965).
20. E. Hinch (private communication).
21. G. Taylor, in Proceedings of the 11th International Congress of Applied Mathematics, edited by, G. Batchelor, (Springer, Heidelberg, 1966).
22. J. Buckmaster, J. Fluid Mech. 55, 385 (1972). JFLSA7 0022-1120
23. A. Acrivos and T. Lo, J. Fluid Mech. 86, 641 (1978). JFLSA7 0022-1120
24. B. Bentley and L. Leal, J. Fluid Mech. 167, 219 (1986). JFLSA7 0022-1120
25. S. Courrech du Pont and J. Eggers (unpublished).
26. R. de Bruijn, Chem. Eng. Sci. 48, 277 (1993). CESCAC 0009-2509 10.1016/0009-2509(93)80015-I
27. D. Jacqmin, J. Fluid Mech. 455, 347 (2002). JFLSA7 0022-1120 10.1017/S0022112001007492