Fluid Flow in Tree-Shaped Constructal Networks: Porosity, Permeability and Inertial Parameter

Abstract:

This paper aims to contribute to the ongoing research on tree-shaped flow structures. First, it briefly traces the progress made on constructal tree-shaped flow networks. Then, the paper focuses on tree pattern of tubes connecting the centre and the rim of a circular area. It shows that the physical description underlying the classical Darcy-Forchheimer-Ergun equation may provide a legitimate correlation for this kind of flow structure. The porosity, hydraulic permeability and the inertial factor of the flow structure are also presented.

• Periodical: Defect and Diffusion Forum (Volumes 297-301)
• Pages: 408-412
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.297-301.408
• Online since: April 2010
• Authors: Antonio Ferreira Miguel
• Keywords: Constructal Theory, Inertial Parameter, Permeability, Porous Medium, Tree Flow Network

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