Particles held by springs in a linear shear flow exhibit oscillatory motion

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

Volumn 73, Issue 6, 2006, Pages

  Holzer, Lukas ^a   Zimmermann, Walter ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); HYDRODYNAMICS; MOTION ESTIMATION; OSCILLATIONS; REYNOLDS NUMBER; SHEAR FLOW;

NEIGHBORING LOCATIONS; OSCILLATORY BEAD MOTION; SHEAR GRADIENT;

SPRINGS (COMPONENTS);

EID: 33745454693     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.060801     Document Type: Article

References (32)

1. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1981).
2. H. Berg, Random Motions in Biology (Princeton University Press, Princeton, NJ, 1993).
3. H. C. Berg and E. M. Purcell, Biophys. J. BIOJAU 0006-3495 20, 193 (1977).
4. P. Tabeling, Introduction to Microfluidics (Oxford University Press, Oxford, 2006).
5. A. Groisman and V. Steinberg, Nature (London) NATUAS 0028-0836 10.1038/35011019 405, 53 (2000).
6. A. Groisman and V. Steinberg, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/029 6, 29 (2004).
7. D. E. Smith, H. P. Babcock, and S. Chu, Science SCIEAS 0036-8075 10.1126/science.283.5408.1724 283, 1724 (1999).
8. C. M. Schroeder, R. E. Teixeira, E. S. G. Shaqfeh, and S. Chu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.018301 95, 018301 (2005).
9. N. Darnton, L. Turner, K. Breuer, and H. C. Berg, Biophys. J. BIOJAU 0006-3495 86, 1863 (2004).
10. H. Noguchi and G. Gompper, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0504243102 102, 14159 (2005).
11. V. Kantsler and V. Steinberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.258101 95, 258101 (2006).
12. C. Misbah, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 028104 96, 028104 (2006).
13. M. B. Short, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 103, 8315 (2006).
14. J. Rotne and S. Prager, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1670977 50, 4831 (1969).
15. L. M. Hocking, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112064001070 20, 129 (1964).
16. R. E. Caflisch, C. Lim, J. H. C. Luke, and A. S. Sangani, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866928 31, 3175 (1988).
17. M. Reichert and H. Stark, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2004-10152-7 17, 493 (2005).
18. A. Vilfan and F. Jülicher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.058102 96, 058102 (2006).
19. K. Ladavac and D. G. Grier, Europhys. Lett. EULEEJ 0295-5075 70, 548 (2005).
20. T. T. Perkins, D. E. Smith, R. Larson, and S. Chu, Science SCIEAS 0036-8075 268, 83 (1995).
21. R. G. Larson, T. T. Perkins, D. E. Smith, and S. Chu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.1794 55, 1794 (1997).
22. D. Kienle, R. Rzehak, and W. Zimmermann (unpublished).
23. R. Rzehak, D. Kienle, T. Kawakatsu, and W. Zimmermann, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00338-1 46, 821 (1999);
24. R. Rzehak, W. Kromen, T. Kawakatsu, and W. Zimmermann, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890050036 2, 3 (2000);
25. R. Rzehak and W. Zimmermann, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00194-y 59, 779 (2002);
26. R. Rzehak and W. Zimmermann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.021804 68, 021804 (2003).
27. P. S. Doyle, B. Ladoux, and J. L. Viovy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4769 84, 4769 (2000).
28. B. Ladoux and P. S. Doyle, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2000-00467-y 52, 511 (2000).
29. Y. Gratton and G. W. Slater, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2005-10020-0 17, 455 (2005).
30. R. Delgado-Buscalioni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.088303 96, 088303 (2006).
31. Ch. Brücker, J. Spatz, and W. Schröder, Exp. Fluids EXFLDU 0723-4864 39, 464 (2005).
32. J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier Science, Amsterdam, 1996).