Origin of periodic and chaotic dynamics due to drops moving in a microfluidic loop device

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

Volumn 89, Issue 2, 2014, Pages

  Maddala, Jeevan ^a   Vanapalli, Siva A ^a   Rengaswamy, Raghunathan ^a  

^a Texas Tech University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MICROFLUIDICS;

ANALYTICAL EXPRESSIONS; ANALYTICAL RESULTS; CHAOTIC BEHAVIORS; EXPERIMENTAL SYSTEM; INTEGRAL MULTIPLES; MASS CONSERVATION; PERIODIC BEHAVIOR; QUANTIZATION RULE;

DROPS;

EID: 84896921586     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.023015     Document Type: Article

References (24)

1. M. Schindler and A. Ajdari, Phys. Rev. Lett. 100, 044501 (2008). 0031-9007 10.1103/PhysRevLett.100.044501 (Pubitemid 351178681)
2. M. J. Fuerstman, P. Garstecki, and G. M. Whitesides, Science 315, 828 (2007). 0036-8075 10.1126/science.1134514
3. P. Garstecki, M. J. Fuerstman, and G. M. Whitesides, Nature Physics 1, 1745 (2005). 1476-0000 10.1038/nphys176
4. B. J. Smith and D. P. Gaver III, Lab Chip. 10, 303 (2010). 1473-0197 10.1039/b916380h
5. D. A. Sessoms, A. Amon, L. Courbin, and P. Panizza, Phys. Rev. Lett. 105, 154501 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.154501
6. M. D. Behzad, H. Seyed-allaei, and M. R. Ejtehadi, Phys. Rev. Ed. 82, 037303 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.037303
7. O. Cybulski and P. Garstecki, Lab Chip. 10, 484 (2009). 1473-0197 10.1039/b912988j
8. R. Jeanneret, J.-P. Vest, and D. Bartolo, Phys. Rev. Lett. 108, 034501 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.034501
9. T. Glawdel, C. Elbuken, and C. Ren, Lab Chip 11, 3774 (2011). 1473-0197 10.1039/c1lc20628a
10. M. Prakash and N. Gershenfeld, Science 315, 832 (2007). SCIEAS 0036-8075 10.1126/science.1136907
11. J. Foss, A. Longtin, B. Mensour, and J. Milton, Phys. Rev. Lett. 76, 708 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.76.708
12. D. Angeli, J. E. Ferrell, and E. D. Sontag, Proc. Nat. Acad. Sci. USA 101, 1822 (2004). PNASA6 0027-8424 10.1073/pnas.0308265100 (Pubitemid 38228975)
13. M. Leite and Y. Wang, Math. Biosci. Eng 7, 83 (2010). 1551-0018 10.3934/mbe.2010.7.83
14. M. Belloul, W. Engl, A. Colin, P. Panizza, and A. Ajdari, Phys. Rev. Lett. 102, 194502 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.194502
15. J. Maddala, B. Srinivasan, S. S. Bithi, S. A. Vanapalli, and R. Rengaswamy, AIChE Journal 58, 2120 (2012). AICEAC 0001-1541 10.1002/aic.12740
16. J. Maddala, W. Wang, S. Vanapalli, and R. Rengaswamy, Microfluidics and Nanofluidics 14, 337 (2013). 1613-4982 10.1007/s10404-012-1054-z
17. J. Maddala and R. Rengaswamy, Comput. & Chem. Eng. 60, 413 (2014). CCENDW 0098-1354 10.1016/j.compchemeng.2013.09.009
18. S. Jakiela, P. M. Korczyk, S. Makulska, O. Cybulski, and P. Garstecki, Phys. Rev. Lett. 108, 134501 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108. 134501
19. V. Labrot, M. Schindler, P. Guillot, A. Colin, and M. Joanicot, Biomicrofluidics 3, 012804 (2009) 1932-1058 10.1063/1.3109686.
20. D. A. Sessoms, M. Belloul, W. Engl, M. Roche, L. Courbin, and P. Panizza, Phys. Rev. E 80, 016317 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.016317
21. S. Strogatz, Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering (Westview Press, Massachusetts, USA, 2001).
22. S. Wolfram, Nature 311, 419 (1984). NATUAS 0028-0836 10.1038/311419a0
23. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, New York, USA, 1993).
24. T.-Y. Li and J. A. Yorke, The American Mathematical Monthly 82, 985 (1975). AMMYAE 0002-9890 10.2307/2318254