Locomotion by tangential deformation in a polymeric fluid

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

Volumn 83, Issue 1, 2011, Pages

  Zhu, Lailai ^a   Do Quang, Minh ^a   Lauga, Eric ^b   Brandt, Luca ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELL LOCOMOTION; COMPUTATIONAL RESULTS; FLOW PROFILE; LOW REYNOLDS NUMBER; NEWTONIAN FLUIDS; NEWTONIAN SOLVENTS; NEWTONIANS; POLYMER RELAXATIONS; POLYMER STRETCHING; POLYMERIC FLUID; SWIMMING SPEED; SWIMMING VELOCITIES; THREE-DIMENSIONAL NUMERICAL SIMULATIONS; VISCOSITY CONTRAST; WEISSENBERG NUMBER;

ASPECT RATIO; DEFORMATION; FLUIDS; REYNOLDS NUMBER; THREE DIMENSIONAL; VISCOSITY;

POLYMERS;

EID: 78751500433     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.011901     Document Type: Article

References (76)

1. S. Vogel, Life in Moving Fluids (Princeton University Press, Princeton, NJ, 1996).
2. D. Bray, Cell Movements (Garland Publishing, New York, NY, 2000).
3. H. C. Berg, E. coli in Motion (Springer-Verlag, New York, NY, 2004).
4. E. M. Purcell, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.10903 45, 3 (1977).
5. J. Lighthill, SIAM Rev. SIREAD 0036-1445 10.1137/1018040 18, 161 (1976).
6. C. Brennen and H. Winet, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.09.010177.002011 9, 339 (1977).
7. S. Childress, Mechanics of Swimming and Flying (Cambridge University Press, Cambridge UK, 1981).
8. E. Lauga and T. R. Powers, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/72/9/096601 72, 096601 (2009).
9. R. A. Simha and S. Ramaswamy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.058101 89, 058101 (2002).
10. C. Dombrowski, L. Cisneros, S. Chatkaew, R. E. Goldstein, and J. O. Kessler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.098103 93, 098103 (2004).
11. L. H. Cisneros, R. Cortez, C. Dombrowski, R. E. Goldstein, and J. O. Kessler, Exp. Fluids 0723-4864 10.1007/s00348-007-0387-y 43, 737 (2007).
12. A. Sokolov, I. S. Aranson, J. O. Kessler, and R. E. Goldstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.158102 98, 158102 (2007).
13. D. Saintillan and M. J. Shelley, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3041776 20, 123304 (2008).
14. K. Ishiyama, M. Sendoh, A. Yamazaki, M. Inoue, and K. I. Arai, IEEE Trans. Magn. IEMGAQ 0018-9464 10.1109/20.951331 37, 2868 (2001).
15. K. Ishiyama, M. Sendoh, A. Yamazaki, and K. I. Arai, Sensor Actuat. A-Phys. SAAPEB 0924-4247 10.1016/S0924-4247(01)00517-9 91, 141 (2001).
16. R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, and J. Bibette, Nature NATUAS 0028-0836 10.1038/nature04090 437, 862 (2005).
17. B. Behkam and M. Sitti, J. Dyn. Syst. Meas. Control: Trans. ASME JDSMAA 0022-0434 10.1115/1.2171439 128, 36 (2006).
18. B. Behkam and M. Sitti, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2431454 90, 023902 (2007).
19. E. R. Trueman, The Locomotion of Soft-Bodied Animals (Edward Arnold, London, 1975).
20. M. W. Denny, Nature NATUAS 0028-0836 10.1038/285160a0 285, 160 (1980).
21. M. W. Denny, Science SCIEAS 0036-8075 10.1126/science.208.4449.1288 208, 1288 (1980).
22. R. B. Bird, Ann. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.08. 010176.000305 8, 13 (1976).
23. R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 1: Fluid Mechanics 2nd ed. (Wiley Interscience, New York, NY, 1987).
24. R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 2: Kinetic Theory, 2nd ed. (Wiley Interscience, New York, NY, 1987).
25. R. I. Tanner, Engineering Rheology, 2nd ed. (Clarendon Press, Oxford, UK, 1988).
26. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, UK, 1988).
27. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford Universtity Press, Oxford, UK, 1999).
28. D. F. Katz, R. N. Mills, and T. R. Pritchett, J. Reprod. Fertil. JRPFA4 0022-4251 10.1530/jrf.0.0530259 53, 259 (1978).
29. D. F. Katz and A. A. Berger, Biorheology 17, 169 (1980).
30. D. F. Katz, T. D. Bloom, and R. H. Bondurant, Biol. Reprod. BIREBV 0006-3363 10.1095/biolreprod25.5.931 25, 931 (1981).
31. S. S. Suarez and X. B. Dai, Biol. Reprod. BIREBV 0006-3363 10.1095/biolreprod46.4.686 46, 686 (1992).
32. S. S. Suarez and A. A. Pacey, Human Reprod. Update BIREBV 1355-4786 10.1093/humupd/dmi047 12, 23 (2006).
33. L. J. Fauci and R. Dillon, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.37.061903.175725 38, 371 (2006).
34. C. Montecucco and R. Rappuoli, Nat. Rev. Mol. Cell Biol. NRMCBP 1471-0072 10.1038/35073084 2, 457 (2001).
35. C. W. Wolgemuth, N. W. Charon, S. F. Goldstein, and R. E. Goldstein, J. Mol Microbiol. Biotechno. NRMCBP 1464-1801 10.1159/000094056 11, 221 (2006).
36. G. O'Toole, H. B. Kaplan, and R. Kolter, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.micro.54.1.49 54, 49 (2000).
37. R. M. Donlan and J. W. Costerton, Clinic. Microbiol. Rev. CMIREX 0893-8512 10.1128/CMR.15.2.167-193.2002 15, 167 (2002).
38. J. W. Costerton, K. J. Cheng, G. G. Geesey, T. I. Ladd, J. C. Nickel, M. Dasgupta, and T. J. Marrie, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.mi.41.100187.002251 41, 435 (1987).
39. J. W. Costerton, Z. Lewandowski, D. E. Caldwell, D. R. Korber, and H. M. Lappinscott, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.mi.49. 100195.003431 49, 711 (1995).
40. E. Lauga, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2751388 19, 083104 (2007).
41. H. C. Fu, T. R. Powers, and C. W. Wolgemuth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.258101 99, 258101 (2008).
42. H. Fu, C. W. Wolgemuth, and T. R. Powers, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.041913 78, 041913 (2008).
43. H. C. Fu, C. W. Wolgemuth, and T. R. Powers, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3086320 21, 033102 (2009).
44. E. Lauga, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/64001 86, 64001 (2009).
45. J. Teran, L. Fauci, and M. J. Shelley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.038101 104, 038101 (2010).
46. T. K. Chaudhury, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112079001415 95, 189 (1979).
47. G. R. Fulford, D. F. Katz, and R. L. Powell, Biorheology BRHLAU 0006-355X 10.1016/S0006-355X(99)80012-2 35, 295 (1998).
48. T. Normand and E. Lauga, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.061907 78, 061907 (2008).
49. O. S. Pak, T. Normand, and E. Lauga, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.036312 81, 036312 (2010).
50. J. R. Blake and M. A. Sleigh, Biol. Rev. Camb. Phil. Soc. BRHLAU 1464-7931 10.1111/j.1469-185X.1974.tb01299.x 49, 85 (1974).
51. J. R. Blake, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211207100048X 46, 199 (1971).
52. A. Larson, M. M. Kirk, and D. L. Kirk, Mol. Biol. Evol. 9 (1), 85 (1982).
53. J. B. Waterbury, J. M. Willey, and D. G. Franks, Science SCIEAS 0036-8075 10.1126/science.230.4721.74 230, 74 (1985).
54. T. Ishikawa, M. P. Simmonds, and T. J. Pedley, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006002631 568, 119 (2006).
55. T. Ishikawa and T. J. Pedley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.088103 100, 088103 (2008).
56. M. T. Downton and H. Stark, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/20/204101 21, 204101 (2009).
57. E. O. A. Carew, P. Townsend, and M. F. Webster, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(93)80034-9 50, 253 (1993).
58. F. P. T. Baaijens, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/S0377-0257(98)00122-0 79, 361 (1998).
59. H. Giesekus, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(82)85016-7 11, 69 (1982).
60. A. N. Beris and B. J. Edwards, J. Rheol. JORHD2 0148-6055 10.1122/1.550094 34, 503 (1990).
61. F. Dupret and J. M. Marchal, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(86)80019-2 20, 143 (1986).
62. A. Souvaliotis and A. N. Beris, J. Rheol. JORHD2 0148-6055 10.1122/1.550344 36, 241 (1992).
63. R. G. Larson, Constitutive Equations for Polymer Melts and Solutions (Butterworths, Boston, 1988).
64. H. A. Stone and A. D. T. Samuel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4102 77, 4102 (1996).
65. G. Amberg, R. Tonhardt, and C. Winkler, Math. Comput. Simul. MCSIDR 0378-4754 10.1016/S0378-4754(99)00054-3 49, 257 (1999).
66. A. Carlson, M. Do-Quang, and G. Amberg, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3275853 21, 121701 (2009).
67. M. Do-Quang and G. Amberg, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3073968 21, 022102 (2009).
68. J.-L. Guermond and L. Quartapelle, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1996.5587 132, 12 (1997).
69. R. C. King, M. R. Apelian, R. C. Armstrong, and R. A. Brown, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(88)85054-7 29, 147 (1988).
70. J. M. Marchal and M. J. Crochet, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(87)85048-6 26, 77 (1987).
71. G. H. Mckinley, R. C. Armstrong, and R. A. Brown, Philos. Trans. Phys. Sci. Eng. PTRMAD 1364-503X 10.1098/rsta.1993.0091 344, 265 (1993).
72. A. M. Leshansky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.051911 80, 051911 (2009).
73. O. G. Harlen, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/S0377-0257(02)00139-8 108, 411 (2002).
74. O. Hassager, Nature NATUAS 0028-0836 10.1038/279402a0 279, 402 (1979).
75. C. Bisgaard, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(83)85003-4 12, 283 (1983).
76. M. T. Arigo and G. H. Mckinley, Rheol. Acta RHEAAK 0035-4511 10.1007/s003970050118 37, 307 (1998).