The swimming of animalcules

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Felderhof, B U ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; REYNOLDS NUMBER; VISCOSITY;

ANIMALCULES; SWIMMING; VISCOUS FLUID;

MICROORGANISMS;

FLUID DYNAMICS; LINEAR EQUATIONS; MICROORGANISMS; NONLINEAR EQUATIONS; REYNOLDS NUMBER; VISCOSITY;

EID: 33745613494     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2204633     Document Type: Article

References (22)

1. G. I. Taylor, "Analysis of the swimming of microscopic organisms," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 209, 447 (1952).
2. M. J. Lighthill, "On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers," Commun. Pure Appl. Math.CPMAMV0010-3640 5, 109 (1952).
3. E. M. Purcell, "Life at low Reynolds number," Am. J. Phys.AJPIAS0002-950510.1119/1.10903 45, 3 (1977).
4. L. E. Becker, S. A. Koehler, and H. A. Stone, "On self-propulsion of micromachines at low Reynolds number: Purcell's three-link swimmer," J. Fluid Mech.JFLSA70022-112010.1017/S0022112003005184 490, 15 (2003).
5. A. Najafi and R. Golestanian, "Simple swimmer at low Reynolds number: Three linked spheres," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.69.062901 69, 062901 (2004).
6. A. Najafi and R. Golestanian, "Propulsion at low Reynolds number," J. Phys.: Condens. MatterJCOMEL0953-8984 17, S2103 (2005).
7. J. R. Blake, "A spherical envelope approach to ciliary propulsion," J. Fluid Mech.JFLSA70022-1120 46, 199 (1971).
8. A. Shapere and F. Wilczek, "Geometry of self-propulsion at low Reynolds number," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112089000261 198, 587 (1989).
9. B. U. Felderhof and R. B. Jones, "Inertial effects in small-amplitude swimming of a finite body," Physica APHYADX0378-437110.1016/0378-4371(94)90169-4 202, 94 (1994).
10. B. U. Felderhof and R. B. Jones, "Small-amplitude swimming of a sphere," Physica APHYADX0378-437110.1016/0378-4371(94)90170-8 202, 119 (1994).
11. M. J. Lighthill, Mathematical Bio Fluid Dynamics (SIAM, Philadelphia, 1975), Vol. 17.
12. S. Childress, Mechanics of Swimming and Flying (Cambridge University Press, Cambridge, 1981).
13. T. J. Pedley and S. J. Hill, "Large-amplitude undulatory fish-swimming: Fluid mechanics coupled to internal mechanics," J. Exp. Biol.JEBIAM0022-0949 202, 3431 (1999).
14. J. A. Sparenberg, "Survey of the mathematical theory of fish locomotion," J. Eng. Math.JLEMAU0022-0833 44, 395 (2002).
15. R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, and J. Bibette, "Microscopic artificial swimmers," Nature (London)NATUAS0028-083610.1038/nature04090 437, 862 (2005).
16. H. Yamakawa, Modern Theory of Polymer Solutions (Harper and Row, New York, 1971).
17. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
18. B. Cichocki, B. U. Felderhof, K. Hinsen, E. Wajnryb, and J. Blawzdziewicz, "Friction and mobility of many spheres in Stokes flow," J. Chem. Phys.JCPSA60021-960610.1063/1.466366 100, 3780 (1994).
19. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Noordhoff, Leyden, 1973).
20. D. W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations (Clarendon, Oxford, 1987).
21. J. E. Avron, O. Kenneth, and D. H. Oaknin, "Pushmepullyou: An efficient microswimmer," New J. Phys.NJOPFM1367-263010.1088/ 1367-2630/7/1/234 7, 234 (2005).
22. R. Dreyfus, J. Baudry, and H. A. Stone, "Purcell's 'rotator': Mechanical rotation at low Reynolds number," Eur. Phys. J. BEPJBFY1434-602810.1140/epjb/e2005-00302-5 47, 161 (2005).