Force-free swimming of a model helical flagellum in viscoelastic fluids

Proceedings of the National Academy of Sciences of the United States of America

Volumn 108, Issue 49, 2011, Pages 19516-19520

  Liu, Bin ^a   Powers, Thomas R ^a,b   Breuer, Kenneth S ^a  

^a Brown University   (United States)

^b BROWN UNIVERSITY   (United States)

Author keywords

Motility; Propulsion; Rheology

Indexed keywords

SILICONE OIL;

ARTICLE; FLAGELLUM; FORCED SWIMMING TEST; GEOMETRY; MOLECULAR WEIGHT; NONHUMAN; PRIORITY JOURNAL; RELAXATION TIME; SHEAR RATE; VELOCITY; VISCOELASTICITY;

ALGORITHMS; ANIMALS; BODY FLUIDS; CAENORHABDITIS ELEGANS; ELASTICITY; FEMALE; FLAGELLA; HUMANS; MALE; MODELS, BIOLOGICAL; MOVEMENT; SPERM MOTILITY; SWIMMING; VISCOSITY;

EID: 83755183692     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1113082108     Document Type: Article

References (31)

1. Suarez SS, Pacey AA (2006) Sperm transport in the female reproductive tract. Human Reprod Update 12:23-37. (Pubitemid 43013744)
2. Kimsey RB, Spielman A (1990) Motility of the Lyme disease spirochetes in fluids as viscous as the extracellular matrix. J Infect Dis 162:1205-1208. (Pubitemid 20353610)
3. Jung S (2010) Caenorhabditis elegans swimming in a saturated particulate system. Phys Fluids (1994) 22:031903.
4. Lauga E, Powers TR (2009) The hydrodynamics of swimming microorganisms. Rep Prog Phys 72:096601.
5. Berg HC, Turner L (1979) Movement of microorganisms in viscous environments. Nature 278:349-351. (Pubitemid 9124374)
6. Shen XN, Arratia PE (2011) Undulatory swimming in viscoelastic fluids. Phys Rev Lett 106:208101.
7. Lauga E (2007) Propulsion in a viscoelastic fluid. Phys Fluids (1994) 19:083104.
8. Fu HC, Powers TR, Wolgemuth CW (2007) Theory of swimming filaments in viscoelastic media. Phys Rev Lett 99:258101.
9. Fu HC, Wolgemuth CW, Powers TR (2009) Swimming speeds of filaments in nonlinearly viscoelastic fluids. Phys Fluids (1994) 21:033102.
10. Teran J, Fauci L, Shelley M (2010) Viscoelastic fluid response can increase the speed and efficiency of a free swimmer. Phys Rev Lett 104:038101.
11. Leshansky AM (2009) Enhanced low-Reynolds-number propulsion in heterogeneous viscous environments. Phys Rev E Stat Nonlin Soft Matter Phys 80:051911.
12. Fu HC, Shenoy VB, Powers TR (2010) Low reynolds number swimming in gels. EPL 91:24002 arXiv:1004.1339.
13. Boger DV (1977) A highly elastic constant-viscosity fluid. J Nonnewton Fluid Mech 3:87-91.
14. James DF (2009) Boger fluids. Annu Rev Fluid Mech 41:129-142.
15. Hancock GJ (1953) The self-propulsion of microscopic organisms through liquids. Proc R Soc Lond A Math Phys Sci 217:96-121.
16. Acierno D, FP la Mantia GM, Titomanlio G (1976) A non-linear viscoelastic model with structure-dependent relaxation times: I. basic formulation. J Nonnewton Fluid Mech 1:125-146.
17. Baumgaertel M, Winter HH (1989) Determination of discrete relaxation and retardation time spectra from dynamic mechanical data. Rheol Acta 28:511-519.
18. Larson RG (1998) The Structure and Rheology of Complex Fluids. (Oxford Univ Press, New York).
19. Purcell EM (1977) Life at low Reynolds-number. Am J Phys 45:3-11.
20. Purcell EM (1997) The efficiency of propulsion by a rotating flagellum. Proc Natl Acad Sci USA 94:11307-11311.
21. Chattopadhyay S, Moldovan R, Yeung C, Wu XL (2006) Swimming efficiency of bacterium escherichia coli. Proc Natl Acad Sci USA 103:13712-13717. (Pubitemid 44413972)
22. Gray J, Hancock GJ (1955) The propulsion of sea-urchin spermatozoa. J Exp Biol 32:802-814.
23. Lighthill J (1976) Flagellar hydrodynamics-neumann, jv lecture, 1975. SIAM Rev 18:161-230.
24. Lighthill J (1996) Helical distribution of stokeslets. J Eng Math 30:35-78.
25. Lighthill J (1996) Reinterpreting the basic theorem of flagellar hydrodynamics. J Eng Math 30:25-34.
26. Johnson R (1980) An improved slender-body theory for stokes-flow. J Fluid Mech 99:411-431.
27. Drescher K, Goldstein R, Michel N, Polin M, Tuval I (2010) Direct measurement of the flow field around swimming microorganisms. Phys Rev Lett 105:168101.
28. Becker LE, McKinley GH, Stone HA (1996) Sedimentaion of a sphere near a plane wall: Weak non-Newtonian and inertial effects. J Nonnewton Fluid Mech 63:201-233. (Pubitemid 126398882)
29. Bird RB, Armstrong RC, Hassager O (1987) Dynamics of Polymeric Liquids, Fluid Mechanics, (Wiley, New York), Vol. 1.
30. Vermant J, Cioccolo G, Nair K, Moldenaers P (2004) Coalescence suppression in model immiscible polymer blends by nano-sized colloidal particles. Rheol Acta 43:529-538. (Pubitemid 39499799)
31. Fidleris V, Whitmore RL (1961) Experimental determination of the wall effect for spheres falling axially in cylindrical vessels. Brit J Appl Phys 12:490-494.