A Novel Kozeny–carman Constant Model for Porous Media Embedded With Tree-Like Branching Networks With Roughened Surfaces

Xiao, Boqi; Chen, Fengye; Zhang, Yidan; Li, Shaofu; Zhang, Guoying; Long, Gongbo; Zhou, Hui; Li, Yang

doi:10.1142/s0218348x23401862

Cited by 15 publications

(1 citation statement)

References 95 publications

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“…Root-like flow networks are ubiquitous in nature, covering various scales, from the network of tiny tubes in mammals and plants to oil reservoirs and river basins. , Murray pioneered a principle known as Murray’s law, a criterion for optimizing the spatial distribution of root-like transport systems. , To explain the underlying mechanisms of such natural transport structures, West et al , provided a general explanation of the allometric scaling law in circulatory systems based on the fractal space-filling assumption and energy minimization principle. The associations between the morphology and function of root-like structures have attracted the interest of multidisciplinary researchers. − Transport properties of root-like networks under constant potential differences (such as temperature, pressure, and voltage) have been extensively studied due to their superior heat-and-mass transport properties. − …”

Section: Introductionmentioning

confidence: 99%

The Fastest Capillary Flow in Root-like Networks under Gravity

Wang,

Gao,

Xiao

et al. 2024

Langmuir

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Capillary flow has garnered significant attention due to its unique dynamic characteristics that require no external force. Creating a quantitative analytical model to evaluate capillary flow behaviors in root-like networks is essential for enhancing fluid control properties in functional textiles. In this study, we explore the capillary dynamics within root-like networks under the influence of gravity and derive the most rapid capillary flow via structural optimization. The flow time in a capillary is dominated by the capillary pressure, viscous pressure loss, and gravity, each of which exhibits diverse sensitivities to the structures of root-like networks. We scrutinize various structural parameters to understand their impact on capillary flow in root-like networks. Subsequently, optimal structural parameters (namely, the mother tube diameter and diameter ratio) are identified to minimize capillary flow time. Moreover, we discovered that the correlation between flow time and distance for capillary flow in root-like networks does not obey the classical Lucas-Washburn equation. These results affirm that root-like networks can enhance capillary flow, providing critical insights for numerous capillary-flow-dependent engineering applications.

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Section: Introductionmentioning

confidence: 99%

The Fastest Capillary Flow in Root-like Networks under Gravity

Wang,

Gao,

Xiao

et al. 2024

Langmuir

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An analytical model for permeability of fractal tree-like branched networks composed of converging–diverging capillaries

Tu,

Xiao,

Zhang

et al. 2024

Physics of Fluids

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Seepage processes in tree-fractal networks have attracted extensive research, but the results of most of these studies presuppose a constant pore cross section. This research investigates fluid flow in a fractal tree-like branching network composed of five different types of circular cross section pipes and establishes the effective permeability of the network. Furthermore, the effective permeability of the fractal tree-like network is compared with that of a typical parallel channel network, and the effect of structural parameters on the seepage process of the tree-like branching network is systematically investigated. The effective permeability of all pipelines increased sharply with an increase in the internal diameter ratio at first and then decreased. Furthermore, a considerable advantage was seen in the permeability of the fractal tree network over the traditional parallel channel network, with the benefit becoming more noticeable as branching levels increased. The clear physics of the model offers a useful framework for studying seepage processes.

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Fractal analysis of dimensionless permeability and Kozeny–Carman constant of spherical granular porous media with randomly distributed tree-like branching networks

Li,

Gao,

Xiao

et al. 2024

Physics of Fluids

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The seepage of porous media has garnered significant interest due to its ubiquitous presence in nature, but most of the research is based on the model of a single dendritic branching network. In this study, we derive a fractal model of the dimensionless permeability and the Kozeny–Carman (KC) constant of porous media consisting of spherical particles and randomly distributed tree-like branching networks based on fractal theory. In addition, three different types of corrugated pipes are considered. Then, the relationships between the KC constant, dimensionless permeability, and other structural parameters were discussed in detail. It is worth noting that the KC constant of the porous media composed of three types of pipes decreases sharply first and then increases with the increase in the internal diameter ratio, while the dimensionless permeability has the opposite trend and conforms to the physical law. In addition, empirical constants are not included in the analytical formulas of the present model, and the physical mechanism of fluid flow in spherical granular porous media with randomly distributed tree-like branching networks is clearly revealed.

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A Novel Kozeny–carman Constant Model for Porous Media Embedded With Tree-Like Branching Networks With Roughened Surfaces

Cited by 15 publications

References 95 publications

The Fastest Capillary Flow in Root-like Networks under Gravity

The Fastest Capillary Flow in Root-like Networks under Gravity

An analytical model for permeability of fractal tree-like branched networks composed of converging–diverging capillaries

Fractal analysis of dimensionless permeability and Kozeny–Carman constant of spherical granular porous media with randomly distributed tree-like branching networks

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