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Capillary flow as the cause of ring stains from dried liquid drops

Author

Listed:
  • Robert D. Deegan

    (James Franck Institute)

  • Olgica Bakajin

    (James Franck Institute)

  • Todd F. Dupont

    (University of Chicago)

  • Greb Huber

    (James Franck Institute)

  • Sidney R. Nagel

    (James Franck Institute)

  • Thomas A. Witten

    (James Franck Institute)

Abstract

When a spilled drop of coffee dries on a solid surface, it leaves a dense, ring-like deposit along the perimeter (Fig. 1a). The coffee—initially dispersed over the entire drop—becomes concentrated into a tiny fraction of it. Such ring deposits are common wherever drops containing dispersed solids evaporate on a surface, and they influence processes such as printing, washing and coating1,2,3,4,5. Ring deposits also provide a potential means to write or deposit a fine pattern onto a surface. Here we ascribe the characteristic pattern of the deposition to a form of capillary flow in which pinning of the contact line of the drying drop ensures that liquid evaporating from the edge is replenished by liquid from the interior. The resulting outward flow can carry virtually all the dispersed material to the edge. This mechanism predicts a distinctive power-law growth of the ring mass with time—a law independent of the particular substrate, carrier fluid or deposited solids. We have verified this law by microscopic observations of colloidal fluids. Figure 1 A ring stain and a demonstration of the physical processes involved in production of such a stain. a, A 2-cm-diameter drop of coffee containing 1 wt% solids has dried to form a perimeter ring, accentuated in regions of high curvature. b, Spheres in water during evaporation, as described in the text. Multiple exposures are superimposed to indicate the motion of the microspheres.

Suggested Citation

  • Robert D. Deegan & Olgica Bakajin & Todd F. Dupont & Greb Huber & Sidney R. Nagel & Thomas A. Witten, 1997. "Capillary flow as the cause of ring stains from dried liquid drops," Nature, Nature, vol. 389(6653), pages 827-829, October.
  • Handle: RePEc:nat:nature:v:389:y:1997:i:6653:d:10.1038_39827
    DOI: 10.1038/39827
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    Cited by:

    1. Sergey Misyura & Andrey Semenov & Yulia Peschenyuk & Ivan Vozhakov & Vladimir Morozov, 2023. "Nonisothermal Evaporation of Sessile Drops of Aqueous Solutions with Surfactant," Energies, MDPI, vol. 16(2), pages 1-21, January.
    2. Fanny Thorimbert & Mateusz Odziomek & Denis Chateau & Stéphane Parola & Marco Faustini, 2024. "Programming crack patterns with light in colloidal plasmonic films," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    3. Xiaodong Zhang & Yugang Zhao & Dongmin Wang, 2023. "Characterization of the Temperature Profile near Contact Lines of an Evaporating Sessile Drop," Energies, MDPI, vol. 16(6), pages 1-12, March.
    4. Strelova, Svetlana V. & Gordeeva, Larisa G. & Grekova, Alexandra D. & Salanov, Aleksei N. & Aristov, Yuri I., 2023. "Composites “lithium chloride/vermiculite” for adsorption thermal batteries: Giant acceleration of sorption dynamics," Energy, Elsevier, vol. 263(PB).
    5. Yunus Tansu Aksoy & Yanshen Zhu & Pinar Eneren & Erin Koos & Maria Rosaria Vetrano, 2020. "The Impact of Nanofluids on Droplet/Spray Cooling of a Heated Surface: A Critical Review," Energies, MDPI, vol. 14(1), pages 1-33, December.
    6. Yuchen Qiu & Bo Zhang & Junchuan Yang & Hanfei Gao & Shuang Li & Le Wang & Penghua Wu & Yewang Su & Yan Zhao & Jiangang Feng & Lei Jiang & Yuchen Wu, 2021. "Wafer-scale integration of stretchable semiconducting polymer microstructures via capillary gradient," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    7. Dan Xu & Xintong Meng & Siyuan Liu & Jade Poisson & Philipp Vana & Kai Zhang, 2024. "Dehydration regulates structural reorganization of dynamic hydrogels," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    8. Wing Chung Liu & Vanessa Hui Yin Chou & Rohit Pratyush Behera & Hortense Le Ferrand, 2022. "Magnetically assisted drop-on-demand 3D printing of microstructured multimaterial composites," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    9. Deng, Xingfa & Su, Qiaoqiao & He, Yan & Dai, Ruqing & Xu, Xinyu & Zou, Bingsuo & Yang, Yu & Cui, Xuemin, 2024. "Preparation of antifouling Janus photo evaporator by in-situ growth of carbon nanotubes/graphene on zeolite surface," Applied Energy, Elsevier, vol. 359(C).

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