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Biomicrofluidics / Volume 6 / Issue 1 / REGULAR ARTICLES

Biomicrofluidics 6, 014106 (2012); http://dx.doi.org/10.1063/1.3676068 (14 pages)

Fluid flow due to collective non-reciprocal motion of symmetrically-beating artificial cilia

S. N. Khaderi1, J. M. J. den Toonder2, and P. R. Onck1

1Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands
2Eindhoven University of Technology, Eindhoven, The Netherlands

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(Received 19 July 2011; accepted 16 December 2011; published online 20 January 2012)

Using a magneto-mechanical solid-fluid numerical model for permanently magnetic artificial cilia, we show that the metachronal motion of symmetrically beating cilia establishes a net pressure gradient in the direction of the metachronal wave, which creates a unidirectional flow. The flow generated is characterised as a function of the cilia spacing, the length of the metachronal wave, and a dimensionless parameter that characterises the relative importance of the viscous forces over the elastic forces in the cilia.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. PROBLEM DEFINITION
    1. Governing equations
      1. Solid dynamic model
      2. Magnetostatics
      3. Fluid dynamics and solid fluid coupling
      4. Solution procedure
  3. RESULTS
    1. Collective non-reciprocal motion
    2. The fundamental mechanism
      1. Eulerian point-of-view
      2. Lagrangian point-of-view
    3. Parametric study
  4. CONCLUSIONS

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KEYWORDS and PACS

Keywords

biological fluid dynamics, permanent magnets, viscosity

PACS

  • 87.85.gf

    Fluid mechanics and rheology

  • 47.63.Jd

    Microcirculation and flow through tissues

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3676068

PUBLICATION DATA

ISSN

1932-1058 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    S. N. Khaderi, M. G. H. M. Baltussen, P. D. Anderson, D. Ioan, J. M. J. den Toonder, and P. R. Onck, Phys. Rev. E 79(4), 046304 (2009).

    Y. W. Kim and R. R. Netz, Phys. Rev. Lett. 96(15), 158101 (2006).

    A. Vilfan and F. Jülicher, Phys. Rev. Lett. 96(5), 058102 (2006).


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