Synchronization of two bubble trains in a viscous fluid: Experiment and numerical simulation

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

Volumn 87, Issue 2, 2013, Pages

  Pereira, Felipe Augusto Cardoso ^a   Colli, Eduardo ^a   Sartorelli, José Carlos ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

AIR FLUX; BUBBLE GROWTH; COMPLEX BEHAVIOR; COUPLING STRENGTHS; COUPLING TERMS; GROWTH VELOCITY; PARAMETER SPACES; PHASE SYNCHRONIZATION; VISCOUS FLUIDS;

COMPUTER SIMULATION; NOZZLES; VISCOUS FLOW;

SYNCHRONIZATION;

ARTICLE; CHEMICAL MODEL; CHEMISTRY; COMPUTER SIMULATION; FLOW KINETICS; GAS; METHODOLOGY; NONLINEAR SYSTEM; SOLUTION AND SOLUBILITY; VISCOSITY;

COMPUTER SIMULATION; GASES; MODELS, CHEMICAL; NONLINEAR DYNAMICS; RHEOLOGY; SOLUTIONS; VISCOSITY;

EID: 84874524290     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.022917     Document Type: Article

References (21)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
2. L. Glass, Nature (London) NATUAS 0028-0836 10.1038/35065745 410, 277 (2001). (Pubitemid 32218701)
3. B. Blasius, A. Huppert, and L. Stone, Nature (London) NATUAS 0028-0836 10.1038/20676 399, 354 (1999). (Pubitemid 29318132)
4. M. Rosenblum, G. Kuuz, and B. Pompe, in Nonlinear Analysis of Physiological Data, edited by, H. Kantz, J. Kurths, and, G. Mayer-Kress, (Springer, Berlin, 1998), pp. 283-306.
5. C. Schäfer, M. G. Rosenblum, H. H. Abel, and J. Kurths, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.857 60, 857 (1999).
6. D. Terman, N. Kopell, and A. Bose, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(97)00312-6 117, 241 (1998).
7. A. Bose, N. Kopell, and D. Terman, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00232-8 140, 69 (2000).
8. C. C. Chow, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00082-7 118, 343 (1998).
9. K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.65 71, 65 (1993).
10. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and A. Shore, Nature (London) NATUAS 0028-0836 10.1038/nature04275 438, 343 (2005). (Pubitemid 41643948)
11. A. Tufaile and J. C. Sartorelli, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00585-5 275, 209 (2000).
12. A. Tufaile and J. C. Sartorelli, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(01)00460-1 287, 74 (2001). (Pubitemid 32801280)
13. V. S. M. Piassi, E. Colli, A. Tufaile, and J. C. Sartorelli, Chaos Solitons Fractals CSFOEH 0960-0779 10.1016/j.chaos.2008.04.052 41, 1041 (2009).
14. A. A. Kulkarni and J. B. Joshi, Ind. Eng. Chem. Res. IECRED 0888-5885 10.1021/ie049131p 44, 5873 (2005). (Pubitemid 41186679)
15. S. Xie and R. B. H. Tan, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/j.ces.2003.06.002 58, 4639 (2003). (Pubitemid 37274548)
16. M. Ruzicka, J. Drahos, J. Zahradník, and N. H. Thomas, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/S0009-2509(99)00337-1 55, 421 (2000).
17. P. Snabre and F. Magnifotcham, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050392 4, 369 (1998).
18. F. A. C. Pereira, E. Colli, and J. C. Sartorelli, Chaos CHAOEH 1054-1500 10.1063/1.3695345 22, 013135 (2012).
19. J. C. Sartorelli, W. M. Gonçalves, and R. D. Pinto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49.3963 49, 3963 (1994).
20. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.87.022917 for a movie of bubbling at 2:3 synchronization. The movie was taped at 500 frames/s and shown at 25 frames/s.
21. P. Snabre and F. Magnifotcham, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050393 4, 379 (1998).