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Tethered fleximags as artificial cilia

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Babataheri, Avin, Roper, Marcus, Fermigier, Marc and Du Roure, Olivia. (2011) Tethered fleximags as artificial cilia. Journal of Fluid Mechanics, Vol.678 . pp. 5-13. ISSN 0022-1120

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Official URL: http://dx.doi.org/10.1017/S002211201100005X

Abstract

Flexible superparamagnetic filaments ('fleximags') are very slender elastic filaments, which can be driven by distributed magnetic torques to mimic closely the behaviour of biological flagella. Previously, fleximags have been used as a basis for artificial micro-swimmers capable of transporting small cargos Dreyfus et al. (Nature, vol. 437, 2005, p. 862). Here, we demonstrate how these filaments can be anchored to a wall to make carpets of artificial micro-magnetic cilia with tunable densities. We analyse the dynamics of an artificial cilium under both planar and three-dimensional beating patterns. We show that the dynamics are controlled by a single characteristic length scale varying with the inverse square root of the driving frequency, providing a mechanism to break the fore and aft symmetry and to generate net fluxes and forces. However, we show that an effective geometrical reciprocity in the filament dynamics creates intrinsic limitations upon the ability of the artificial flagellum to pump fluid when driven in two dimensions.

Item Type:	Journal Article
Subjects:	Q Science > QR Microbiology
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Flagella (Microbiology) -- Simulation methods, Cilia and ciliary motion -- Simulation methods
Journal or Publication Title:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
ISSN:	0022-1120
Date:	July 2011
Volume:	Vol.678
Page Range:	pp. 5-13
Identification Number:	10.1017/S002211201100005X
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	University of California, Berkeley. Miller Institute for Basic Research in Sciences, Ile de France
References:	Brennen, C. & Winet, H. 1977 Fluid mechanics of propulsion by cilia and flagella. Annu. Rev. Fluid Mech. 9, 339–398. Buceta, J., Ibanes, M., Rasskin-Gutman, D., Okada, Y., Hirokawa, N. & Izpisua-Belmonte, J. C. 2005 Nodal cilia dynamics and the specification of the left/right axis in early vertebrate embryo development. Biophys. J. 89 (4), 2199–2209. Camalet, S., J¨ulicher, F. & Prost, J. 1999 Self-organized beating and swimming of internally driven filaments. Phys. Rev. Lett. 82 (7), 1590–1593. Cartwright, J. H. E., Piro, O. & Tuval, I. 2004 Fluid-dynamical basis of the embryonic development of left-right asymmetry in vertebrates. Proc. Natl Acad. Sci. USA 101, 7234– 7239. Cebers, A. 2003 Dynamics of a chain of magnetic particles connected with elastic linkers. J. Phys.: Condens. Matter 15, S1335–S1344. Coq, N., Ngo, S., du Roure, O., Fermigier, M. & Bartolo, D. 2010 Three-dimensional beating of magnetic microrods. Phys. Rev. E 82, 041503. Downton, M. & Stark, H. 2009 Beating kinematics of magnetically actuated cilia. Eur. Phys. Lett. 85, 44002. Dreyfus, R., Baudry, J., Roper, M. L., Fermigier, M., Stone, H. A. & Bibette, J. 2005 Microscopic artificial swimmers. Nature 437 (7060), 862–865. Evans, B. A., Shields, A. R., Carroll, R. L., Washburn, S., Falvo, M. R. & Superfine, R. 2007 Magnetically actuated nanorod arrays as biomimetic cilia. Nano Lett. 7 (5), 1428–1434. Gauger, E. M., Downton, M. T. & Stark, H. 2009 Fluid transport at low Reynolds number with magnetically actuated artificial cilia. Eur. Phys. J. E 28 (2), 231–242. Goubault, C., Jop, P., Fermigier, M., Baudry, J., Bertrand, E. & Bibette, J. 2003 Flexible magnetic filaments as micromechanical sensors. Phys. Rev. Lett. 91, 260802. Goubault, C., Leal-Calderon, F., Viovy, J. L. & Bibette, J. 2005 Self-assembled magnetic nanowires made irreversible by polymer bridging. Langmuir 21 (9), 3725–3729. Keaveny, E. & Maxey, M. 2008 Spiral swimming of an artificial micro-swimmer. J. Fluid Mech. 593, 293–319. Kim, Y. & Netz, R. 2006 Pumping fluids with periodically beating grafted elastic filaments. Phys. Rev. Lett. 96, 158101. Melle, S., Caldero´n, O. G., Rubio, M. A. & Fuller, G. G. 2003 Microstructure evolution in magnetorheological suspensions governed by mason number. Phys. Rev. E 68, 041503. Nonaka, S., Tanaka, Y., Okada, Y., Takeda, S., Harada, A., Kanai, Y., Kido, M. & Hirokawa, N. 1998 Randomization of left–right asymmetry due to loss of nodal cilia generating leftward flow of extraembryonic fluid in mice lacking kif3b motor protein. Cell 95 (6), 829–837. Roper, M., Dreyfus, R., Baudry, J., Fermigier, M., Bibette, J. & Stone, H. A. 2006 On the dynamics of magnetically driven elastic filaments. J. Fluid Mech. 554, 167–190. Shields, A. R., Fiser, B. L., Evans, B. A., Falvo, M. R., Washburn, S. & Superfine, R. 2010 Biomimetic cilia arrays generate simultaneous pumping and mixing regimes. Proc. Natl Acad. Sci. 107 (36), 15670–15675. Sing, C. E., Schmid, L., Schneider, M. F., Franke, T. & Alexander-Katz, A. 2010 Controlled surface-induced flows from the motion of self-assembled colloidal walkers. Proc. Natl Acad. Sci. USA 107, 535–540. Vilfan, M., Potoˇcnik, A., Kavˇ ci ˇ c, B., Osterman, N., Poberaj, I., Vilfan, A. & Babi ˇ c, D. 2010 Self-assembled artificial cilia. Proc. Natl Acad. Sci. 107, 535–540.
URI:	http://wrap.warwick.ac.uk/id/eprint/38833