Fluid flow due to collective non-reciprocal motion of symmetrically-beating artificial cilia

Biomicrofluidics

Volumn 6, Issue 1, 2012, Pages

  Khaderi, S N ^a,c   den Toonder, J M J ^b   Onck, P R ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

GENETIC ENGINEERING; MICROFLUIDICS; MOLECULAR BIOLOGY;

ARTIFICIAL CILIA; DIMENSIONLESS PARAMETERS; ELASTIC FORCE; METACHRONAL WAVES; UNIDIRECTIONAL FLOW; VISCOUS FORCES;

FLOW OF FLUIDS;

EUKARYOTA;

EID: 84859321050     PISSN: 19321058     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3676068     Document Type: Article

References (30)

1. Alexeev A. Yeomans J.M. Balazs A.C. Langmuir 2008, 24:12102. 10.1021/la801907x.
2. Alexeev A. Yeomans J.M. Balazs A.C. Langmuir 2008, 24(21):12102. 10.1021/la801907x.
3. Annabattula R.K. Huck W.T. S. Onck P.R. J. Mech. Phys. Solids 2010, 58:447. 10.1016/j.jmps.2010.02.004.
4. Brennen C. J. Fluid Mech. 1974, 65(04):799. 10.1017/S0022112074001662.
5. Cook R. Malkus D.S. Plesha M.E. Malkus D.S. Plesha M.E. Concepts and Applications of Finite Element Analysis 2001, and (Wiley, New York).
6. den Toonder J. Bos F. Broer D. Filippini L. Gillies M. de Goede J. Mol T. Reijme M. Talen W. Wilderbeek H. Khatavkar V. Anderson P. Lab Chip 2008, 8(4):533. 10.1039/b717681c.
7. Ehlers K.M. Samuel A.D. Berg H.C. Montgomery R. Proc. Natl. Acad. Sci. USA 1996, 93(16):8340. 10.1073/pnas.93.16.8340.
8. Evans B.A. Shields A.R. Lloyd Carroll R. Washburn S. Falvo M.R. Superfine R. Nano Letters 2007, 7(5):1428. 10.1021/nl070190c.
9. Fahrni F. Prins M.W. J. van Ijzendoorn L. Lab Chip 2009, 9:3413. 10.1039/b908578e.
10. Gauger E.M. Downton M.T. Stark H. Eur. Phys. J. E 2009, 28:231. 10.1140/epje/i2008-10388-1.
11. Ghosh R. Buxton G.A. Berk Usta O. Balazs A. Alexeev A. Langmuir 2010, 26:2963. 10.1021/la902926w.
12. Gueron S. Levit-Gurevich K. Proc. Natl. Acad. Sci. USA 1999, 96(22):12240. 10.1073/pnas.96.22.12240.
13. Gueron S. Levit-Gurevich K. Liron N. Blum J.J. Proc. Natl. Acad. Sci. USA 1997, 94(12):6001. 10.1073/pnas.94.12.6001.
14. Hussong J. Breugem W.P. Westerweel J. J. Fluid Mech. 2011, 684:137. 10.1017/jfm.2011.282.
15. Khaderi S.N. Baltussen M.G. H. M. Anderson P.D. den Toonder J.M. J. Onck P.R. Phys. Rev. E 2010, 82:027302. 10.1103/PhysRevE.82.027302.
16. Khaderi S.N. Baltussen M.G. H. M. Anderson P.D. Ioan D. den Toonder J.M. J. Onck P.R. Phys. Rev. E 2009, 79(4):046304. 10.1103/PhysRevE.79.046304.
17. Khaderi S.N. den Toonder J.M. J. Onck P.R. J. Fluid Mech. 2011, 688:44. 10.1017/jfm.2011.355.
18. Kim Y.W. Netz R.R. Phys. Rev. Lett. 2006, 96(15):158101. 10.1103/PhysRevLett.96.158101.
19. Malvern L.E. Introduction to the Mechanics of a Continuous Medium 1977, (Prentice-Hall).
20. Oh K. Chung J. Devasia S. Riley J.J. Lab Chip 2009, 9(11):1561. 10.1039/b817409a.
21. Purcell E.M. Am. J. Phys. 1977, 45(1):3. 10.1119/1.10903.
22. Shields A.R. Fiser B.L. Evans B.A. Falvo M.R. Washburn S. Superfine R. Proc. Natl. Acad. Sci. 2010, 107(36):15670. 10.1073/pnas.1005127107.
23. Taylor G. Proc. R. Soc. London A 1951, 209:447. 10.1098/rspa.1951.0218.
24. Tecplot, Tec360 User Manual (2008).
25. van Loon R. Anderson P.D. van de Vosse F.N. J. Comput. Phys. 2006, 217:806. 10.1016/j.jcp.2006.01.032.
26. van Oosten C. Bastiaansen C.M. Broer D. Nature Mater. 2009, 8:677. 10.1038/nmat2487.
27. Vilfan A. Jülicher F. Phys. Rev. Lett. 2006, 96(5):058102. 10.1103/PhysRevLett.96.058102.
28. Vilfan M. Potocnik A. Kavcic B. Osterman N. Poberaj I. Vilfan A. Babic D. Proc. Natl. Acad. Sci. 2010, 107:1844. 10.1073/pnas.0906819106.
29. See supplementary material at E-BIOMGB-6-004201 for the simulations of the magnetic field caused by the solenoids.
30. Note that the pressure gradient will continue to decrease with an increase in wavelength, whereas its increase because of the increased cilia deflection is limited.