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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 379Pressure Model for Capillary Tree-Shaped Fractal...

Pressure Model for Capillary Tree-Shaped Fractal Networks

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Abstract:

Capillary tree networks can be efficiently used for several applications. These trees display the same patterns at different levels of scale, which is a property found in fractal objects. This paper combines a thermodynamic formulation with the geometric characteristics of the tree fractal network, to describe the equilibrium capillary pressure. The model proposed here accounts for, in addition to physical properties of the fluids, the fractal dimension, the scale factor between the size of parent and daughter tubes, and the branching level. The effect of each of these properties on the capillary pressure is also investigated.

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Periodical:

Defect and Diffusion Forum (Volume 379)

Pages:

166-170

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.379.166

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Online since:

November 2017

Authors:

Antonio Ferreira Miguel

Keywords:

Branching Level, Capillary Pressure, Fractal Dimension, Fractal Tree, Scale Factor, Tree Network

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© 2017 Trans Tech Publications Ltd. All Rights Reserved

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