[en] We explore the complex dynamics of a non-coalescing drop of moderate size inside a circular hydraulic jump of the same liquid formed on a horizontal disk. In this situation the drop is moving along the jump and one observes two different motions: a periodic one (it orbits at constant speed) and an irregular one involving reversals of the orbital motion. Modeling the drop as a rigid sphere exchanging friction with liquid across a thin film of air, we rationalize both the orbital motion and the internal rotation of the drop. This internal rotation is evidenced by tracer visualization and exhibits an unexpected dependence upon drop size.
Disciplines :
Physics
Author, co-author :
Duchesne, Alexis ; Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Savaro, Clément; Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Lebon, Luc; Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Pirat, Christophe; Université Claude Bernard - Lyon 1 - UCLB > Institut Lumière Matière
Limat, Laurent; Université Paris Diderot - Paris 7 > Laboratoire Matière et Systèmes Complexes
Language :
English
Title :
Multiple rotations of a drop rolling inside a horizontal circular hydraulic jump
Biance A., Clanet C. and Quéré D. 2003 Phys. Fluids 15 1632 (Pubitemid 36785210)
Aussillous P. and Quéré D. 2001 Nature (London) 411 924 (Pubitemid 32601483)
Couder Y., Fort E., Gautier C. and Boudaoud A. 2005 Phys. Rev. Lett. 94 177801 (Pubitemid 41492296)
Protiere S., Boudaoud A. and Couder Y. 2006 J. Fluid Mech. 554 85
Couder Y. and Fort E. 2006 Phys. Rev. Lett. 97 154101 (Pubitemid 44570405)
Dorbolo S., Terwagne D., Vandewalle N. and Gilet T. 2008 New J. Phys. 10 113021
Gilet T., Terwagne D., Vandewalle N. and Dorbolo S. 2008 Phys. Rev. Lett. 100 167802 (Pubitemid 351585523)
Gilet T. and Bush J. W. M. 2009 Phys. Rev. Lett. 102 014501
Gilet T. and Bush J. W. M. 2009 J. Fluid Mech. 625 167
Sreenivas K. R., De P. K. and Arakeri J. H. 1999 J. Fluid Mech. 380 297
Pirat C., Lebon L., Fruleux A., Roche J.-S. and Limat L. 2010 Phys. Rev. Lett. 105 084503
Watson E. J. 1964 J. Fluid Mech. 20 481
Bohr T., Dimon P. and Putkaradze V. 1993 J. Fluid Mech. 254 635
Bohr T., Ellegaard C., Hansen A. E. and Haaning A. 1996 Physica B 228 1
Bush J. W. M. and Aristoff J. M. 2003 J. Fluid Mech. 489 229 (Pubitemid 37111105)
Sugiyama K., Ni R., Stevens R. J. A. M., Chan T. S., Zhou S.-Q., Xi H.-D., Sun C., Grossmann S., Xia K.-Q. and Lohse D. 2010 Phys. Rev. Lett. 105 034503
Berhanu M., Monchaux R., Fauve S., Mordant N., Pétrélis F., Chiffaudel A., Daviaud F., Dubrulle B., Marié L., Ravelet F., Bourgoin M., Odier P., Pinton J.-F. and Volk R. 2007 EPL 77 59001
Gallet B., Herault J., Laroche C., Pétrélis F. and Fauve S. 2012 Geophys. Astrophys. Fluid Dyn. 106 468
Baldwin M. P., Gray L. J., Dunkerton T. J., Hamilton K., Haynes P. H., Randel W. J., Holton J. R., Alexander M. J., Hirota I., Horinouchi T., Jones D. B. A., Kinnersley J. S., Marquardt C., Sato K. and Takahashi M. 2001 Rev. Geophys. 39 179 (Pubitemid 32621043)
Bush J. W. M., Aristoff J. M. and Hosoi A. E. 2006 J. Fluid Mech. 558 33 (Pubitemid 43997674)
de Gennes P., Brochard-Wyart F. and Quéré D. 2004 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (New York: Springer) pp. 229-235
Neitzel G. P. and Dell'Aversana P. 2002 Annu. Rev. Fluid Mech. 34 267 (Pubitemid 35372024)
