Two-frequency forcing of droplet rebounds on a liquid bath

[en] Droplets can bounce indefinitely on a liquid bath vertically vibrated in a sinusoidal fashion. We here present experimental results that extend this observation to forcing signals composed of a combination of two commensurable frequencies. The Faraday and Goodridge thresholds are characterized. Then a number of vertical bouncing modes are reported, including walkers. The vertical motion can become chaotic, in which case the horizontal motion is an alternation of walk and stop.

Disciplines :

Physics

Author, co-author :

Sampara, Naresh; Université de Liège - ULiège > Aérospatiale et mécanique > Microfluidics lab

Gilet, Tristan ; Université de Liège > Département d'aérospatiale et mécanique > Microfluidique

Language :

English

Title :

Two-frequency forcing of droplet rebounds on a liquid bath

Publication date :

2016

Journal title :

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

ISSN :

1539-3755

eISSN :

1550-2376

Publisher :

American Physical Society, College Park, United States - Maryland

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

FWB - Fédération Wallonie-Bruxelles [BE]

Available on ORBi :

since 02 April 2017

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Bibliography

O. Reynolds, Chem. News 44, 211 (1881).
O. W. Jayaratne and B. J. Mason, Proc. R. Soc. London Ser. A 280, 545 (1964). 1364-5021 10.1098/rspa.1964.0161
Y. Couder, E. Fort, C.-H. Gautier, and A. Boudaoud, Phys. Rev. Lett. 94, 177801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.177801
T. Gilet, D. Terwagne, N. Vandewalle, and S. Dorbolo, Phys. Rev. Lett. 100, 167802 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.167802
J. W. M. Bush, Annu. Rev. Fluid Mech. 47, 269 (2015). ARVFA3 0066-4189 10.1146/annurev-fluid-010814-014506
J. W. M. Bush, Phys. Today 68, 47 (2015). PHTOAD 0031-9228 10.1063/PT.3.2882
T. B. Benjamin and F. Ursell, Proc. R. Soc. London 225, 505 (1954). 1364-5021 10.1098/rspa.1954.0218
Y. Couder, S. Protiere, E. Fort, and A. Boudaoud, Nature (London) 437, 208 (2005). NATUAS 0028-0836 10.1038/437208a
A. Eddi, E. Sultan, J. Moukhtar, E. Fort, M. Rossi, and Y. Couder, J. Fluid Mech. 674, 433 (2011). JFLSA7 0022-1120 10.1017/S0022112011000176
Y. Couder and E. Fort, Phys. Rev. Lett. 97, 154101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.154101
A. Eddi, D. Terwagne, E. Fort, and Y. Couder, Europhys. Lett. 82, 44001 (2008). EULEEJ 0295-5075 10.1209/0295-5075/82/44001
E. Fort, A. Eddi, A. Boudaoud, J. Moukhtar, and Y. Couder, Proc. Natl. Acad. Sci. U.S.A. 107, 17515 (2010). PNASA6 0027-8424 10.1073/pnas.1007386107
D. M. Harris, J. Moukhtar, E. Fort, Y. Couder, and J. W. M. Bush, Phys. Rev. E 88, 011001 (R) (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.011001
S. Perrard, M. Labousse, M. Miskin, E. Fort, and Y. Couder, Nat. Commun. 5, 3219 (2014). 2041-1723 10.1038/ncomms4219
T. Gilet and J. W. M. Bush, Phys. Rev. Lett. 102, 014501 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.014501
T. Gilet, N. Vandewalle, and S. Dorbolo, Phys. Rev. E 79, 055201 (R) (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.055201
S. Protiere, A. Boudaoud, and Y. Couder, J. Fluid Mech. 554, 85 (2006). JFLSA7 0022-1120 10.1017/S0022112006009190
S. Dorbolo, D. Terwagne, N. Vandewalle, and T. Gilet, New J. Phys. 10, 113021 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/11/113021
T. Gilet and J. W. M. Bush, J. Fluid Mech. 625, 167 (2009). JFLSA7 0022-1120 10.1017/S0022112008005442
J. Molacek and J. W. M. Bush, J. Fluid Mech. 727, 582 (2013). JFLSA7 0022-1120 10.1017/jfm.2013.279
D. Terwagne, F. Ludewig, N. Vandewalle, and S. Dorbolo, Phys. Fluids 25, 122101 (2013). PHFLE6 1070-6631 10.1063/1.4832975
D. M. Harris, T. Liu, and J. W. M. Bush, Exp. Fluids 56, 83 (2015). EXFLDU 0723-4864 10.1007/s00348-015-1950-6
S. Protiere, Ph.D. thesis, Universite Paris VII, 2007.
J. Molacek and J. W. M. Bush, J. Fluid Mech. 727, 612 (2013). JFLSA7 0022-1120 10.1017/jfm.2013.280
M. Hubert, D. Robert, H. Caps, S. Dorbolo, and N. Vandewalle, Phys. Rev. E 91, 023017 (2015). PLEEE8 1539-3755 10.1103/PhysRevE.91.023017
J. Bechhoefer, V. Ego, S. Manneville, and B. Johnson, J. Fluid Mech. 288, 325 (1995). JFLSA7 0022-1120 10.1017/S0022112095001169
W. S. Edwards and S. Fauve, Phys. Fluids A 5, S10 (1993). PFADEB 0899-8213 10.1063/1.4738877
T. Besson, W. S. Edwards, and L. S. Tuckerman, Phys. Rev. E 54, 507 (1996). 1063-651X 10.1103/PhysRevE.54.507
C. L. Goodridge, W. T. Shi, and D. P. Lathrop, Phys. Rev. Lett. 76, 1824 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.76.1824
C. L. Goodridge, W. T. Shi, H. G. E. Hentschel, and D. P. Lathrop, Phys. Rev. E 56, 472 (1997). 1063-651X 10.1103/PhysRevE.56.472
C. L. Goodridge, H. G. E. Hentschel, and D. P. Lathrop, Phys. Rev. Lett. 82, 3062 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.3062
S. C. Tsai, S. K. Lin, R. W. Mao, and C. S. Tsai, Phys. Rev. Lett. 108, 154501 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.154501
J. M. Luck and A. Mehta, Phys. Rev. E 48, 3988 (1993). 1063-651X 10.1103/PhysRevE.48.3988
M. di Bernardo, C. J. Budd, A. R. Champneys, and P. Kowalczyk, Piecewise-Smooth Dynamical Systems: Theory and Applications, edited by S. S. Antman, J. E. Marsden, and L. Sirovich, Applied Mathematical Sciences No. 163 (Springer, London, 2008).
A. U. Oza, R. R. Rosales, and J. W. M. Bush, J. Fluid Mech. 737, 552 (2013). JFLSA7 0022-1120 10.1017/jfm.2013.581
A. U. Oza, D. M. Harris, R. R. Rosales, and J. W. M. Bush, J. Fluid Mech. 744, 404 (2014). JFLSA7 0022-1120 10.1017/jfm.2014.50
T. Gilet, Phys. Rev. E 90, 052917 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.90.052917
T. Gilet, Phys. Rev. E 93, 042202 (2016). 2470-0045 10.1103/PhysRevE.93.042202
S. Perrard, M. Labousse, E. Fort, and Y. Couder, Phys. Rev. Lett. 113, 104101 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.104101
D. M. Harris and J. W. M. Bush, J. Fluid Mech. 739, 444 (2014). JFLSA7 0022-1120 10.1017/jfm.2013.627