Stirring by squirmers

Journal of Fluid Mechanics

Volumn 669, Issue , 2011, Pages 167-177

  Lin, Zhi ^a   Thiffeault, Jean Luc ^a,b   Childress, Stephen ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

micro organism dynamics; mixing

Indexed keywords

DISTRIBUTION FUNCTIONS; MICROORGANISMS; REYNOLDS NUMBER;

EFFECTIVE DIFFUSIVITIES; ENHANCED MIXING; EXPONENTIAL TAIL; PARTICLE DISPLACEMENT; SIMPLE MODELING; STAGNATION POINTS; SUPERDIFFUSIVE REGIMES; SWIMMING MICRO-ORGANISMS;

MIXING;

COMPUTER SIMULATION; FLOW MODELING; FLUID DYNAMICS; MICROBIAL ACTIVITY; MICROORGANISM; MIXING; NUMERICAL MODEL; PARTICLE MOTION; PROBABILITY; REYNOLDS NUMBER; SWIMMING;

EID: 79952817774     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211201000563X     Document Type: Article

References (21)

1. Blake, J. R. 1971 A spherical envelope approach to ciliary propulsion. J. Fluid Mech. 46, 199-208.
2. Darwin, C. G. 1953 Note on hydrodynamics. Proc. Camb. Phil. Soc. 49 (2), 342-354.
3. Dewar, W. K., Bingham, R. J., Iverson, R. L., Nowacek, D. P., St. Laurent, L. C. & Wiebe, P. H. 2006 Does the marine biosphere mix the ocean? J. Mar. Res. 64, 541-561. (Pubitemid 44698214)
4. Dombrowski, C., Cisneros, L., Chatkaew, S., Goldstein, R. E. & Kessler, J. O. 2004 Self-concentration and large-scale coherence in bacterial dynamics. Phys. Rev. Lett. 93 (9), 098103.
5. Drescher, K., Leptos, K., Tuval, I., Ishikawa, T., Pedley, T. J. & Goldstein, R. E. 2009 Dancing volvox: hydrodynamic bound states of swimming algae. Phys. Rev. Lett. 102, 168101.
6. Drescher, K. D., Goldstein, R. E., Michel, N., Polin, M. & Tuval, I. 2010 Direct measurement of the flow field around swimming microorganisms. Phys. Rev. Lett. 105, 168101.
7. Dunkel, J., Putz, V. B., Zaid, I. M. & Yeomans, J. M. 2010 Swimmer-tracer scattering at low Reynolds number. Soft Matt. 6, 4268-4276.
8. Einstein, A. 1956 Investigations on the Theory of the Brownian Movement. Dover.
9. Guasto, J. S., Johnson, K. A. & Gollub, J. P. 2010 Oscillatory flows induced by microorganisms swimming in two-dimensions. Phys. Rev. Lett. 105, 168102.
10. Hernandez-Ortiz, J. P., Dtolz, C. G. & Graham, M. D. 2006 Transport and collective dynamics in suspensions of confined swimming particles. Phys. Rev. Lett. 95, 204501.
11. Ishikawa, T. & Pedley, T. J. 2007 Diffusion of swimming model micro-organisms in a semi-dilute suspension. J. Fluid Mech. 588, 437-462.
12. Ishikawa, T., Simmonds, M. P. & Pedley, T. J. 2006 Hydrodynamic interaction of two swimming model micro-organisms. J. Fluid Mech. 568, 119-160. (Pubitemid 44741348)
13. Katija, K. & Dabiri, J. O. 2009 A viscosity-enhanced mechanism for biogenic ocean mixing. Nature 460, 624-627.
14. Leptos, K. C., Guasto, J. S., Gollub, J. P., Pesci, A. I. & Goldstein, R. E. 2009 Dynamics of enhanced tracer diffusion in suspensions of swimming eukaryotic microorganisms. Phys. Rev. Lett. 103, 198103.
15. Lighthill, M. J. 1952 On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers. Commun. Pure Appl. Math. 5, 109-118.
16. Maxwell, J. C. 1869 On the displacement in a case of fluid motion. Proc. Lond. Math. Soc. s1-3 (1), 82-87.
17. ̈ Oseen, C. W. 1910 Uber die Stokessche formel und über eine verwandte aufgabe in der hydrodynamik. Ark. Mat. Astron. Fys. 6 (29), 1-20.
18. Saintillian, D. & Shelley, M. J. 2007 Orientational order and instabilities in suspensions of self-locomoting rods. Phys. Rev. Lett. 99, 058102.
19. Thiffeault, J.-L. & Childress, S. 2010 Stirring by swimming bodies. Phys. Lett. A 374, 3487-3490.
20. Underhill, P. T., Hernandez-Ortiz, J. P. & Graham, M. D. 2008 Diffusion and spatial correlations in suspensions of swimming particles. Phys. Rev. Lett. 100, 248101.
21. Wu, X.-L. & Libchaber, A. 2000 Particle diffusion in a quasi-two-dimensional bacterial bath. Phys. Rev. Lett. 84, 3017-3020. (Pubitemid 40598951)