Self-propulsion in a viscous fluid: Arbitrary surface deformations

Journal of Fluid Mechanics

Volumn 550, Issue , 2006, Pages 139-148

  Yariv, Ehud ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; REYNOLDS NUMBER; SURFACE PHENOMENA; VELOCITY;

ROTATIONAL VELOCITY; SELF-PROPULSION; SURFACE DEFORMATION RATE; SURFACE DEFORMATIONS; TRANSLATIONAL VELOCITY; VISCOUS FLUID;

VISCOUS FLOW;

DEFORMATION; REYNOLDS NUMBER; SURFACE PHENOMENA; VELOCITY; VISCOUS FLOW;

REYNOLDS NUMBER; VISCOUS FLOW;

EID: 33645827805     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200500830X     Document Type: Article

References (19)

1. Avron, J. E., Gat, O. & Kenneth, O. 2004 Optimal swimming at low reynolds numbers. Phys. Rev. Lett. 93 (18) 186001.
2. Becker, L. E., Koehler, S. A. & Stone, H. A. 2003 On self-propulsion of micro-machines at low Reynolds number: Purcell's three-link swimmer. J. Fluid Mech. 490, 15-35.
3. Blake, J. R. 1971 Self propulsion due to oscillations of a cylinder at low Reynolds number. Bull. Austral. Math. Soc. 3, 255-264.
4. Brennen, C. & Winet, H. 1977 Fluid-mechanics of propulsion by cilia and flagella. Annu. Rev. Fluid Mech. 9, 339-398.
5. Brenner, H. 1964 The Stokes resistance of an arbitrary particle - IV. Arbitrary fields of flow. Chem. Engng Sci. 19, 703-727.
6. Childress, S. 1981 Mechanics of Swimming and Flying. Cambridge University Press.
7. Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
8. Kim, S. & Karrila, S. J. 1991 Microhydrodynamics. Butterworth-Heinemann.
9. Lighthill, J. 1952 On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers. Commun. Pure Appl. Maths 5, 109-118.
10. Lighthill, M. J. 1975 Mathematical Biofluiddynamics. SIAM.
11. Magar, V. & Pedley, T. J. 2005 Average nutrient uptake by a self-propelled unsteady squirmer. J. Fluid Mech. 539, 93-112.
12. Miloh, T. 1983 Optimal self-propulsion of a deformable prolate spheroid. J. Ship Res. 27 (2), 121-130.
13. Miloh, T. 1991 Hydrodynamic self-propulsion of deformable bodies and oscillating bubbles. In Mathematical Approaches in Hydrodynamics (ed. T. Miloh), pp. 21-36. SIAM.
14. Miloh, T. & Galper, A. 1993 Self-propulsion of general deformable shapes in a perfect fluid. Proc. R. Soc. Lond. A 442, 273-299.
15. Pozrikidis, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
16. Purcell, E. M. 1977 Life at low reynolds-number. Am. J. Phys. 45 (1), 3-11.
17. Shapere, A. & Wilczek, F. 1989 Geometry of self-propulsion at low Reynolds number. J. Fluid Mech. 198, 557-585.
18. Stone, H. A. & Samuel, A. D. T. 1996 Propulsion of microorganisms by surface distortions. Phys. Rev. Lett. 77, 4102-4104.
19. Taylor, G. I. 1951 Analysis of the swimming of microscopic animals. Proc. R. Soc. Lond. A 209, 447-461.