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A honeycomb model for tortuosity of flow path in the leaf venation network

Author

Listed:
  • Han Liu

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

  • Ming-Qing Zou

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    State Key Laboratory of Oil and Gas, Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China)

  • Da-Lun Wang

    (School of Mathematics and Physics, Anshun University, Anshun 561000, P. R. China)

  • Shan-Shan Yang

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

  • Ming-Chao Liang

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

Abstract

A honeycomb model is designed according to the leaf veins, which is expressed as a function of porosity and tortuosity, and there is no empirical constant in this model. We mainly applied it to the leaf venation network, and the prediction in our model are compared with that from available correlations obtained by matching the numerical results, both of which are consistent with each other. Our model and relations may have important significance and potential applications in leaf venation and porous media. They also have a certain guiding significance to fluid heat transfer and thermal diffusion, as well as biotechnology research, e.g. veins and the neural networks of human.

Suggested Citation

  • Han Liu & Ming-Qing Zou & Da-Lun Wang & Shan-Shan Yang & Ming-Chao Liang, 2014. "A honeycomb model for tortuosity of flow path in the leaf venation network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(06), pages 1-8.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:06:n:s0129183114500156
    DOI: 10.1142/S0129183114500156
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    Cited by:

    1. Youkai Jiang & Yaheng Zhang & Jie Zhang & Zhiyong Tang, 2022. "Characteristics of Gas–Liquid Slug Flow in Honeycomb Microchannel Reactor," Energies, MDPI, vol. 15(4), pages 1-14, February.

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