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

Han Liu, Ming-Qing Zou (), Da-Lun Wang, Shan-Shan Yang and Ming-Chao Liang
Additional contact information
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;
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

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 06, 1-8

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.

Keywords: Tortuosity; porosity; honeycomb; leaf venation network; 47.56.+r; 47.60.Dx; 47.15.-x (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183114500156
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:25:y:2014:i:06:n:s0129183114500156

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183114500156

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().