Flapping motion and force generation in a viscoelastic fluid

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

Volumn 78, Issue 6, 2008, Pages

  Normand, Thibaud ^a   Lauga, Eric ^b  

^a ECOLE POLYTECHNIQUE   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AVIATION; FLUIDS; LIQUIDS; POLYMERS;

COMPLEX FLUIDS; FLAPPING MOTIONS; FORCE GENERATIONS; INFINITE PLANES; MUCOCILIARY CLEARANCES; NEWTONIANS; OSCILLATION AMPLITUDES; POLYMERIC FLUIDS; PROPULSION METHODS; PURCELL'S SCALLOP THEOREMS; REVERSAL SYMMETRIES; SET-UPS; SMALL SCALES; STRESS DIFFERENCES; VISCOELASTIC FLUIDS;

TRANSPORT PROPERTIES;

EID: 57749084416     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.061907     Document Type: Article

References (54)

1. J. Gray, Animal locomotion (Norton, London, 1968).
2. R. M. Alexander, Principles of Animal locomotion (Princeton University Press, Princeton, NJ, 2003).
3. J. Lighthill, Mathematical Biofluiddynamics (SIAM, Philadelphia, 1975).
4. J. Lighthill, SIAM Rev. 18, 161 (1976). 10.1137/1018040
5. C. Brennen and H. Winet, Annu. Rev. Fluid Mech. 9, 339 (1977). 10.1146/annurev.fl.09.010177.002011
6. S. Childress, Mechanics of Swimming and Flying (Cambridge Universtity Press, Cambridge, England, 1981).
7. D. Bray, Cell Movements (Garland, New York, 2000).
8. L. J. Fauci and R. Dillon, Annu. Rev. Fluid Mech. 38, 371 (2006). 10.1146/annurev.fluid.37.061903.175725
9. S. S. Suarez and A. A. Pacey, Hum. Reprod. Update 12, 23 (2006). 10.1093/humupd/dmi047
10. A. I. Yudin, F. W. Hanson, and D. F. Katz, Biol. Reprod. 40, 661 (1989). 10.1095/biolreprod40.3.661
11. D. P. Wolf, L. Blasco, M. A. Khan, and M. Litt, Fertil. Steril. 28, 41 (1977).
12. D. P. Wolf, L. Blasco, M. A. Khan, and M. Litt, Fertil. Steril. 28, 47 (1977).
13. D. P. Wolf, J. Sokoloski, M. A. Khan, and M. Litt, Fertil. Steril. 28, 53 (1977).
14. D. P. Wolf, L. Blasco, M. A. Khan, and M. Litt, Fertil. Steril. 30, 163 (1978).
15. D. P. Wolf, J. E. Sokoloski, and M. Litt, Biochim. Biophys. Acta 630, 545 (1980).
16. P. Y. Tam, D. F. Katz, and S. A. Berger, Biorheology 17, 465 (1980).
17. J. B. Shukla, B. R. P. Rao, and R. S. Parihar, J. Biomech. 11, 15 (1978). 10.1016/0021-9290(78)90039-8
18. D. F. Katz, R. N. Mills, and T. R. Pritchett, J. Reprod. Fertil. 53, 259 (1978).
19. D. F. Katz and S. A. Berger, Biorheology 17, 169 (1980).
20. D. F. Katz, T. D. Bloom, and R. H. Bondurant, Biol. Reprod. 25, 931 (1981). 10.1095/biolreprod25.5.931
21. R. Rikmenspoel, J. Exp. Biol. 108, 205 (1984).
22. S. Ishijima, S. Oshio, and H. Mohri, Gamete Res. 13, 185 (1986). 10.1002/mrd.1120130302
23. S. S. Suarez and X. B. Dai, Biol. Reprod. 46, 686 (1992). 10.1095/biolreprod46.4.686
24. E. Lauga, Phys. Fluids 19, 083104 (2007). 10.1063/1.2751388
25. H. Fu, T. R. Powers, and C. W. Wolgemuth, Phys. Rev. Lett. 99, 258101 (2007). 10.1103/PhysRevLett.99.258101
26. H. Fu, C. W. Wolgemuth, and T. R. Powers (unpublished).
27. R. B. Bird, R. C. Armstrong, and O. Hassager, Fluid Mechanics, Vol. 1 of Dynamics of Polymeric Liquids, 2nd ed. (Wiley-Interscience, New York, 1987).
28. R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Kinetic Theory, Vol. 2 of Dynamics of Polymeric Liquids, 2nd ed. (Wiley-Interscience, New York, 1987).
29. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1988).
30. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford Universtity Press, Oxford, 1999).
31. E. M. Purcell, Am. J. Phys. 45, 3 (1977). 10.1119/1.10903
32. S. Childress and R. Dudley, J. Fluid Mech. 498, 257 (2004). 10.1017/S002211200300689X
33. N. Vandenberghe, J. Zhang, and S. Childress, J. Fluid Mech. 506, 147 (2004). 10.1017/S0022112004008468
34. S. Alben and M. Shelley, Proc. Natl. Acad. Sci. U.S.A. 102, 11163 (2005). 10.1073/pnas.0505064102
35. E. Lauga, Phys. Fluids 19, 061703 (2007). 10.1063/1.2738609
36. M. A. Sleigh, J. R. Blake, and N. Liron, Am. Rev. Respir. Dis. 137, 726 (1988).
37. G. I. Taylor, Similarity Solutions of Hydrodynamic Problems (Pergamon Press, Oxford, 1960), pp. 21-28.
38. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, England, 1967).
39. C. P. Hills and H. K. Moffatt, J. Fluid Mech. 418, 119 (2000). 10.1017/S0022112000001075
40. H. K. Moffatt, J. Fluid Mech. 18, 1 (1964). 10.1017/S0022112064000015
41. H. K. Moffatt and B. R. Duffy, J. Fluid Mech. 96, 299 (1980). 10.1017/S0022112080002133
42. C. Chang and W. Schowalter, Nature (London) 252, 686 (1974). 10.1038/252686a0
43. P. W. James, J. Non-Newtonian Fluid Mech. 2, 99 (1977). 10.1016/0377-0257(77)80036-0
44. S. Rosenblat, J. Fluid Mech. 85, 387 (1978). 10.1017/S0022112078000695
45. G. Bohme, J. Non-Newtonian Fluid Mech. 44, 149 (1992). 10.1016/0377-0257(92)80049-4
46. K. C. Bagchi, Appl. Sci. Res. 16, 131 (1966). 10.1007/BF00384060
47. K. R. Frater, J. Fluid Mech. 30, 689 (1967). 10.1017/S0022112067001703
48. K. R. Frater, Z. Angew. Math. Mech. 19, 510 (1968).
49. C. Goldstein and W. R. Schowalter, Trans. Soc. Rheol. 19, 1 (1975). 10.1122/1.549363
50. C. F. Chang, Z. Angew. Math. Mech. 28, 283 (1977).
51. C. F. Chang and W. R. Schowalter, J. Non-Newtonian Fluid Mech. 6, 47 (1979). 10.1016/0377-0257(79)87003-2
52. M. L. Roper, Ph.D. thesis, School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 2007.
53. K. E. Machin, J. Exp. Biol. 35, 796 (1958).
54. C. H. Wiggins and R. E. Goldstein, Phys. Rev. Lett. 80, 3879 (1998). 10.1103/PhysRevLett.80.3879