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Universal Murray’s law for optimised fluid transport in synthetic structures

Author

Listed:
  • Binghan Zhou

    (University of Cambridge)

  • Qian Cheng

    (University of Cambridge)

  • Zhuo Chen

    (University of Cambridge)

  • Zesheng Chen

    (University of Cambridge)

  • Dongfang Liang

    (University of Cambridge)

  • Eric Anthony Munro

    (University of Cambridge)

  • Guolin Yun

    (University of Cambridge)

  • Yoshiki Kawai

    (Tokyo Institute of Technology)

  • Jinrui Chen

    (University of Cambridge)

  • Tynee Bhowmick

    (University of Cambridge)

  • Karthick Kannan Padmanathan

    (University of Warwick)

  • Luigi Giuseppe Occhipinti

    (University of Cambridge)

  • Hidetoshi Matsumoto

    (Tokyo Institute of Technology)

  • Julian William Gardner

    (University of Warwick)

  • Bao-Lian Su

    (University of Namur
    Wuhan University of Technology)

  • Tawfique Hasan

    (University of Cambridge)

Abstract

Materials following Murray’s law are of significant interest due to their unique porous structure and optimal mass transfer ability. However, it is challenging to construct such biomimetic hierarchical channels with perfectly cylindrical pores in synthetic systems following the existing theory. Achieving superior mass transport capacity revealed by Murray’s law in nanostructured materials has thus far remained out of reach. We propose a Universal Murray’s law applicable to a wide range of hierarchical structures, shapes and generalised transfer processes. We experimentally demonstrate optimal flow of various fluids in hierarchically planar and tubular graphene aerogel structures to validate the proposed law. By adjusting the macroscopic pores in such aerogel-based gas sensors, we also show a significantly improved sensor response dynamics. In this work, we provide a solid framework for designing synthetic Murray materials with arbitrarily shaped channels for superior mass transfer capabilities, with future implications in catalysis, sensing and energy applications.

Suggested Citation

  • Binghan Zhou & Qian Cheng & Zhuo Chen & Zesheng Chen & Dongfang Liang & Eric Anthony Munro & Guolin Yun & Yoshiki Kawai & Jinrui Chen & Tynee Bhowmick & Karthick Kannan Padmanathan & Luigi Giuseppe Oc, 2024. "Universal Murray’s law for optimised fluid transport in synthetic structures," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-47833-0
    DOI: 10.1038/s41467-024-47833-0
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    References listed on IDEAS

    as
    1. Xianfeng Zheng & Guofang Shen & Chao Wang & Yu Li & Darren Dunphy & Tawfique Hasan & C. Jeffrey Brinker & Bao-Lian Su, 2017. "Bio-inspired Murray materials for mass transfer and activity," Nature Communications, Nature, vol. 8(1), pages 1-9, April.
    2. Katherine A. McCulloh & John S. Sperry & Frederick R. Adler, 2003. "Water transport in plants obeys Murray's law," Nature, Nature, vol. 421(6926), pages 939-942, February.
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