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Related Experiment Video

Updated: Jan 27, 2026

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
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Dynamics of Taylor Rising.

Yu Tian, Ying Jiang, Jiajia Zhou

    Langmuir : the ACS Journal of Surfaces and Colloids
    |March 28, 2019
    PubMed
    Summary

    Liquid climbing in tilting corners follows a t^(1/3) scaling law, similar to vertical corners. The climbing speed is influenced by the corner

    Area of Science:

    • Fluid Dynamics
    • Biomimetics
    • Surface Science

    Background:

    • Investigates liquid transport mechanisms inspired by the peristome of *Nepenthes alata*.
    • Focuses on liquid climbing dynamics in confined geometries.
    • Addresses challenges in understanding capillary-driven flow in non-vertical systems.

    Purpose of the Study:

    • To model and analyze the dynamics of liquid climbing in a narrow, tilting corner.
    • To determine the influence of tilting angle on liquid height and climbing speed.
    • To provide a theoretical framework for designing biomimetic surfaces for liquid transport.

    Main Methods:

    • Derivation of a partial differential equation for the meniscus profile.
    • Numerical simulation of the derived equation for various tilting angles (β).

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  • Application of the Onsager principle for approximate coefficient calculation.

    • Main Results:

    • Liquid height h(t) follows a t^(1/3) scaling law for large times, consistent with vertical corners.
    • The coefficient in the scaling law is dependent on the tilting angle β.
    • Numerical results show good agreement with approximations derived from the Onsager principle.

    Conclusions:

    • The model accurately describes liquid climbing in weakly curved, tilting corners.
    • Tilting angle significantly affects the rate of liquid transport.
    • Findings offer insights for developing efficient biomimetic liquid transport systems.