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Fluid ‘rope trick’ investigated

Nature volume 392, page 140 (1998)Cite this article

A Corrigendum to this article was published on 03 February 2000

Abstract

Buckling instabilities can arise from competition between axial compression and bending in slender objects. These are not restricted to solids, but also occur with fluids with free surfaces1,4, in geophysics5 and in materials processing6. Here we consider a classic demonstration of fluid buckling7.

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Figure 1

FELICE FRANKEL

Figure 2: Log-log plot of the normalized coiling frequency (Ω/Q1.5) against filament radius (r).

References

  1. Barnes, G. & Woodcock, R. Am. J. Phys. 26, 205–209 (1958).

    Google Scholar 

  2. Taylor, G. I. Proc. 12th Intl Congr. Appl. Mech. 382-395 (1969).

  3. Benjamin, T. B. & Mullins, T. J. Fluid Mech. 195, 523–540 (1988).

    Google Scholar 

  4. Matovich, M. A. & Pearson, J. R. A. Ind. Engrg. Chem. Fund. 8, 605–609 (1969).

    Google Scholar 

  5. Johnson, A. M. & Fletcher, R. C. Folding of Viscous Layers (Columbia University Press, New York, 1994).

  6. Rawson, H. Phys. Tech. 2, 91–114 (1974).

    Google Scholar 

  7. Taylor, G.I. Low Reynolds Number Flows (Encyclopaedia Britannica films, 1967).

  8. Mahadevan, L. & Keller, J. B. Proc. R. Soc. Lond. A 452, 1679–1694 (1996).

    Google Scholar 

  9. Cruickshank, J. O. & Munson, B. R. J. Fluid Mech. 113, 221–239 (1981).

    Google Scholar 

  10. Griffiths R. W. & Turner, J. S. Geophys. J. 95, 397–419 (1988).

    Google Scholar 

  11. Tchavdarov, B., Yarin, A. L. & Radev, S. J. Fluid Mech. 253, 593–615 (1993).

    Google Scholar 

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Authors and Affiliations

  1. Division of Mechanics and Materials, Mechanical Engineering, 1-310, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA

    L. Mahadevan

  2. Department of Molecular and Cellular Biology, Harvard University, Cambridge, 02138, MA, USA

    William S. Ryu & Aravinthan D.T. Samuel

  3. Rowland Institute of Science, Cambridge, 02142, MA, USA

    William S. Ryu & Aravinthan D.T. Samuel

Authors
  1. L. Mahadevan
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  2. William S. Ryu
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  3. Aravinthan D.T. Samuel
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Mahadevan, L., Ryu, W. & Samuel, A. Fluid ‘rope trick’ investigated. Nature 392, 140 (1998). https://doi.org/10.1038/32321

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