A NOVEL PERMEABILITY MODEL IN DAMAGED TREE-LIKE BIFURCATING NETWORKS CONSIDERING THE INFLUENCE OF ROUGHNESS

Zhenjie Liu, Jun Gao, Boqi Xiao, Jiyin Cao, Jing Fang, Mingchao Liang and Gongbo Long
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Zhenjie Liu: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Jun Gao: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China†School of Mechanical and Electrical Engineering, Wuhan Business University, Wuhan 430056, P. R. China
Boqi Xiao: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Jiyin Cao: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Jing Fang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Mingchao Liang: ��School of Physics and Technology, Xinjiang University, Urumqi 830046, P. R. China§School of Mechanical and Electrical Engineering, Henan Institute of Science and Technology, Xinxiang 453003, P. R. China
Gongbo Long: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-13

Abstract: The seepage in tree-like bifurcating networks is a very common phenomenon in nature. The research on the transport characteristics of tree-like bifurcating networks has always been a hot topic. In this paper, a novel permeability model for fluid flow in damaged tree-like bifurcating networks is proposed. In the proposed model, the influence of roughness on permeability is considered by means of the fractal method. It is found that the permeability is not only related to the structural parameters of the network but also related to the damaged position and the number of damaged tubes at the damaged position. The effects of these parameters and damaged structure on permeability are discussed separately. The results show that the permeability reduces along with an increase in the roughness level, the length ratio, the number of damaged tubes, and the number of total bifurcating levels. Another major finding is that the permeability increases with an increase in the diameter ratio. Besides, we found that the damaged position and the number of damaged tubes at the damaged position have an important effect on the permeability. Increasing the number of damaged tubes and bringing the damaged position close to the front end of the network will reduce the permeability. Compared with the undamaged network, the permeability of damaged network has a significant decline. The proposed model may provide potential applications for the analysis of fluid flow in damaged tree-like bifurcating network.

Keywords: Permeability; Damaged Tree-Like Bifurcating Network; Fractal; Roughness (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500281

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