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A sticky situation

  • P.-T. Brun
Abstract

The whirling helical structure obtained when pouring honey onto toast may seem like an easy enough problem to solve at breakfast. Specifically, one would hope that a quick back-of-the-envelope scaling argument would help rationalize the observed behaviour and predict the coiling frequency. Not quite: multiple forces come into play, both in the part of the flow stretched by gravity and in the coil itself, which buckles and bends like a rope. In fact, the resulting abundance of regimes requires the careful numerical continuation method reported by Ribe (J. Fluid Mech., vol. 812, 2017, R2) to build a complete phase diagram of the problem and untangle this sticky situation.

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Copyright
Corresponding author
Email address for correspondence: ptbrun@mit.edu
Footnotes
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The figure by the title reproduced by kind permission of H. Hosseini.

Footnotes
References
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Audoly, B., Clauvelin, N., Brun, P.-T., Bergou, M., Grinspun, E. & Wardetzky, M. 2013 A discrete geometric approach for simulating the dynamics of thin viscous threads. J. Comput. Phys. 253, 1849.
Brun, P.-T., Audoly, B., Ribe, N. M., Eaves, T. S. & Lister, J. R. 2015 Liquid ropes. Phys. Rev. Lett. 114 (17), 174501.
Brun, P.-T., Ribe, N. M. & Audoly, B. 2012 A numerical investigation of the fluid mechanical sewing machine. Phys. Fluids 24 (4), 043102.
Chiu-Webster, S. & Lister, J. R. 2006 The fall of a viscous thread onto a moving surface: a fluid-mechanical sewing machine. J. Fluid Mech. 569, 89111.
Ribe, N. M. 2004 Coiling of viscous jets. Proc. R. Soc. Lond. A 460, 32233239.
Ribe, N. M. 2017 Liquid rope coiling: a synoptic view. J. Fluid Mech. 812, R2.
Ribe, N. M., Habibi, M. & Bonn, D. 2012 Liquid rope coiling. Annu. Rev. Fluid Mech. 44, 249266.
Ribe, N. M., Huppert, H. E., Hallworth, M. A., Habibi, M. & Bonn, D. 2006 Multiple coexisting states of liquid rope coiling. J. Fluid Mech. 555, 275297.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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