The robustness of the permeability of constructal tree-shaped fissures
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© 2015 Elsevier Ltd. Here we develop analytically the formulas for effective permeability in several configurations using the closed-form description of tree networks designed to provide flow access. The objective was to find the relation between the permeability and porosity of tree-shaped fissures. We found the effect of the fracture size on the permeability for fixed number of bifurcation and the results showed that the permeability of the fracture network increased rapidly with the size of the fracture. Next, we found a relation between the Reservoir Quality Index (RQI) and the porosity of the fracture. The results in this paper have been validated by comparison with experimental and numerical results. We show that the permeability formulas do not vary much from one tree design to the next, suggesting that similar formulas may apply to naturally fissured porous media with unknown precise details, which occur in natural reservoirs.
Published Version (Please cite this version)10.1016/j.ijheatmasstransfer.2015.06.042
Publication InfoAlalaimi, M; Bejan, Adrian; Lorente, S; & Wechsatol, W (2015). The robustness of the permeability of constructal tree-shaped fissures. International Journal of Heat and Mass Transfer, 90. pp. 259-265. 10.1016/j.ijheatmasstransfer.2015.06.042. Retrieved from http://hdl.handle.net/10161/15204.
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J.A. Jones Professor of Mechanical Engineering
Professor Bejan's research covers engineering science and applied physics: thermodynamics, heat transfer, convection, design, and evolution in nature. Professor Bejan was ranked in 2001 among the 100 most highly cited authors worldwide in engineering (all fields, all countries), the Institute for Scientific Information. Professor Bejan has received 18 honorary doctorates from universities in 11 countries. Adrian Bejan is the author of 30 books and over 650 peer-referred
Adjunct Professor in the Department of Mechanical Engineering and Materials Science
Lorente's research interests encompass vascularized materials, constructal theory, porous media, fluid mechanics, heat and mass transfer.
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