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Optimal free-surface pumping by an undulating carpet

Author

Listed:
  • Anupam Pandey

    (Syracuse University)

  • Zih-Yin Chen

    (University of Minnesota)

  • Jisoo Yuk

    (Cornell University)

  • Yuming Sun

    (Cornell University)

  • Chris Roh

    (Cornell University)

  • Daisuke Takagi

    (University of Hawaii at Manoa)

  • Sungyon Lee

    (University of Minnesota)

  • Sunghwan Jung

    (Cornell University)

Abstract

Examples of fluid flows driven by undulating boundaries are found in nature across many different length scales. Even though different driving mechanisms have evolved in distinct environments, they perform essentially the same function: directional transport of liquid. Nature-inspired strategies have been adopted in engineered devices to manipulate and direct flow. Here, we demonstrate how an undulating boundary generates large-scale pumping of a thin liquid near the liquid-air interface. Two dimensional traveling waves on the undulator, a canonical strategy to transport fluid at low Reynolds numbers, surprisingly lead to flow rates that depend non-monotonically on the wave speed. Through an asymptotic analysis of the thin-film equations that account for gravity and surface tension, we predict the observed optimal speed that maximizes pumping. Our findings reveal how proximity to free surfaces, which ensure lower energy dissipation, can be leveraged to achieve directional transport of liquids.

Suggested Citation

  • Anupam Pandey & Zih-Yin Chen & Jisoo Yuk & Yuming Sun & Chris Roh & Daisuke Takagi & Sungyon Lee & Sunghwan Jung, 2023. "Optimal free-surface pumping by an undulating carpet," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-43059-8
    DOI: 10.1038/s41467-023-43059-8
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    References listed on IDEAS

    as
    1. Wei Wang & Qingkun Liu & Ivan Tanasijevic & Michael F. Reynolds & Alejandro J. Cortese & Marc Z. Miskin & Michael C. Cao & David A. Muller & Alyosha C. Molnar & Eric Lauga & Paul L. McEuen & Itai Cohe, 2022. "Cilia metasurfaces for electronically programmable microfluidic manipulation," Nature, Nature, vol. 605(7911), pages 681-686, May.
    2. Hongri Gu & Quentin Boehler & Haoyang Cui & Eleonora Secchi & Giovanni Savorana & Carmela Marco & Simone Gervasoni & Quentin Peyron & Tian-Yun Huang & Salvador Pane & Ann M. Hirt & Daniel Ahmed & Brad, 2020. "Magnetic cilia carpets with programmable metachronal waves," Nature Communications, Nature, vol. 11(1), pages 1-10, December.
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