Emergence of a limit cycle for swimming microorganisms in a vortical flow of a viscoelastic fluid

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

Volumn 85, Issue 5, 2012, Pages

  Ardekani, A M ^a   Gore, E ^a  

^a University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOFILM FORMATION; EXOPOLYSACCHARIDES; FORMATION RATES; LIMIT CYCLE; NEW MECHANISMS; RHEOLOGICAL PROPERTY; VISCO-ELASTIC FLUID; VORTICAL FLOWS;

RHEOLOGY;

MICROORGANISMS;

EID: 84861950053     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.056309     Document Type: Article

References (42)

1. J. Costerton, P. Stewart, and E. Greenberg, Science SCIEAS 0036-8075 10.1126/science.284.5418.1318 284, 1318 (1999). (Pubitemid 29289651)
2. I. Klapper and J. Dockery, SIAM Rev. SIREAD 0036-1445 10.1137/080739720 52, 221 (2010).
3. F. Azam, Science SCIEAS 0036-8075 10.1126/science.280.5364.694 280, 694 (1998). (Pubitemid 28243334)
4. N. Blackburn, T. Fenchel, and J. Mitchell, Science SCIEAS 0036-8075 10.1126/science.282.5397.2254 282, 2254 (1998). (Pubitemid 29004072)
5. W. M. Durham, E. Climent, and R. Stocker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.238102 106, 238102 (2011).
6. P. Verdugo and P. Santschi, Deep Sea Res. Part II DSROEK 0967-0645 10.1016/j.dsr2.2010.03.002 57, 1486 (2010).
7. A. Alldredge, U. Passow, and B. Logan, Deep-Sea Res. Pt I DRORE7 0967-0637 10.1016/0967-0637(93)90129-Q 40, 1131 (1993).
8. D. Smith, M. Simon, A. Alldredge, and F. Azam, Nature (London) NATUAS 0028-0836 10.1038/359139a0 359, 139 (1992). (Pubitemid 23374905)
9. T. Berman, R. Mizrahi, and C. G. Dosoretz, Desalination DSLNAH 0011-9164 10.1016/j.desal.2011.03.046 276, 184 (2011).
10. G. I. Taylor, Proc. R. Soc. London A 1364-5021 10.1098/rspa.1951.0218 209, 447 (1951).
11. E. Lauga, Phys. Fluids 19, 83 (2007).
12. A. M. Leshansky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.051911 80, 051911 (2009).
13. H. C. Fu, V. B. Shenoy, and T. R. Powers, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/91/24002 91, 24002 (2010).
14. J. Teran, L. Fauci, and M. J. Shelley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.038101 104, 038101 (2010).
15. L. Zhu, M. Do-Quang, E. Lauga, and L. Brandt, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.011901 83, 011901 (2011).
16. Y. Bozorgi and P. T. Underhill, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.061901 84, 061901 (2011).
17. R. Rusconi, S. Lecuyer, L. Guglielmini, and H. A. Stone, J. R. Soc. Interface 1742-5689 10.1098/rsif.2010.0096 7, 1293 (2010).
18. A. C. Mitchell, A. J. Phillips, R. Hiebert, R. Gerlach, L. H. Spangler, and A. B. Cunningham, Int. J. Greenhouse Gas Con. 1750-5836 10.1016/j.ijggc. 2008.05.002 3, 90 (2009).
19. K. Vafai, Porous Media: Applications in Biological Systems and Biotechnology (CRC Press, Boca Raton, FL, 2011).
20. M. Cates, D. Marenduzzo, I. Pagonabarraga, and J. Tailleur, PNAS PNASA6 0027-8424 10.1073/pnas.1001994107 107, 11715 (2010).
21. I. Riedel, K. Kruse, and J. Howard, Science SCIEAS 0036-8075 10.1126/science.1110329 309, 300 (2005). (Pubitemid 40967866)
22. T. Pedley and O. Kessler, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.24.010192.001525 24, 313 (1992).
23. G. B. Jeffery, Proc. Roy. Soc. Lond. A Mat. 1364-5021 10.1098/rspa.1922.0078 102, 161 (1922).
24. C. Torney and Z. Neufeld, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.078101 99, 078101 (2007). (Pubitemid 47263152)
25. F. Garner and A. Nissan, Nature (London) NATUAS 0028-0836 10.1038/158634a0 158, 634 (1946).
26. E. Shaqfeh, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl. 28.010196.001021 28, 129 (1996).
27. G. McKinley, in Transport Processes in Bubbles, Drops and Particles, 2nd ed., edited by, D. Kee, and, R. Chhabra, (Taylor and Francis, New York, 2002), pp. 338-375.
28. A. M. Ardekani, R. H. Rangel, and D. Joseph, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2917976 20, 063101 (2008).
29. A. M. Ardekani, D. Joseph, D. Dunn-Rankin, and R. H. Rangel, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112009990632 633, 475 (2009).
30. L. Leal, J. Non-Newton. Fluid Mech. JNFMDI 0377-0257 10.1016/0377- 0257(79)85004-1 5, 33 (1979).
31. A. M. Ardekani, R. H. Rangel, and D. Joseph, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112007007549 587, 163 (2007).
32. P. C. H. Chan and L. G. Leal, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112077000834 82, 549 (1977).
33. P. Brunn, J. Fluid Mech JFLSA7 0022-1120 10.1017/S0022112077000822 82, 529 (1977).
34. M. Wloka, H. Rehage, H. Flemming, and J. Wingender, Colloid Polym. Sci. CPMSB6 0303-402X 10.1007/s00396-003-1033-8 282, 1067 (2004).
35. J. Wilking, T. Angelini, A. Seminara, M. Brenner, and D. Weitz, MRS Bull. MRSBEA 0883-7694 10.1557/mrs.2011.71 36, 385 (2011).
36. W. P. Cox and E. H. Merz, J. Polym. Sci. JPSCAU 0022-3832 10.1002/pol.1958.1202811812 28, 619 (1958).
37. H. M. Laun, J. Rheol. JORHD2 0148-6055 10.1122/1.549855 30, 459 (1986).
38. V. Sharma and G. H. McKinley, Rheol. Acta, doi: 10.1007/s00397-011-0612-8 (2012).
39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.85.056309 for movies.
40. L. Yeo, D. Hou, S. Maheshswari, and H. Chang, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2212275 88, 233512 (2006). (Pubitemid 43877785)
41. D. Leighton and A. Acrivos, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112087002155 181, 415 (1987).
42. P. Tierno, R. Golestanian, I. Pagonabarraga, and F. Sagues, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp808354n 112, 16525 (2008).