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Optimal free-surface pumping by an undulating carpet.

Anupam Pandey1, Zih-Yin Chen2, Jisoo Yuk3

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Undulating boundaries can pump thin liquids efficiently. Researchers found an optimal wave speed for maximum liquid transport near free surfaces, inspired by nature.

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Area of Science:

  • Fluid Dynamics
  • Soft Matter Physics
  • Bio-inspired Engineering

Background:

  • Undulating boundaries are observed in nature for directional liquid transport across various scales.
  • Engineered devices increasingly adopt nature-inspired strategies for fluid manipulation.
  • Low Reynolds number fluid transport often relies on specific boundary motion.

Purpose of the Study:

  • To demonstrate large-scale liquid pumping using an undulating boundary near a free surface.
  • To investigate the non-monotonic relationship between wave speed and flow rate.
  • To identify optimal conditions for efficient directional liquid transport.

Main Methods:

  • Experimental demonstration of liquid pumping by a two-dimensional traveling wave undulator.
  • Asymptotic analysis of thin-film equations incorporating gravity and surface tension.
  • Theoretical prediction of flow rate dependence on wave speed.

Main Results:

  • An undulating boundary effectively generates large-scale pumping of thin liquids at the liquid-air interface.
  • Flow rates exhibit a non-monotonic dependence on the traveling wave speed.
  • An optimal wave speed was identified that maximizes the pumping efficiency.

Conclusions:

  • Nature-inspired undulating boundaries can achieve efficient directional liquid transport.
  • The proximity to free surfaces is crucial for minimizing energy dissipation during pumping.
  • Understanding the optimal wave speed is key for designing effective bio-inspired fluidic devices.