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http://hdl.handle.net/10174/30526
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Title: | A constructal view of prefractal dendritic flow networks using an exergy analysis |
Authors: | Miguel, A. F. |
Keywords: | exergy prefractal scale factor homothety ratio |
Issue Date: | 2021 |
Citation: | A. F. Miguel, A constructal view of prefractal dendritic flow networks using an exergy analysis. International Journal of Exergy 36 (2021) 56-75 |
Abstract: | Evidence supports the interpretation that natural dendritic networks are described by fractal theory. It is recognised that the fractal description alone is not a complete description of nature of space filling. This study addresses the fundamental question of what the size of dendritic flow networks should be, in order to perform with the least irreversibilities, in addition to what fractal features-based pattern should have. Optimal shapes of symmetric and asymmetric networks for viscous flow and diffusion with junction loss effects are analysed based on exergy minimisation rate. Global size constraints included in the analysis are the volume and surface area. The optimal sizes of
the flow networks are obtained, and prefractal dimensions that characterise
these networks are computed. It is shown that the prefractal dimensions depend on both fluid transport mechanisms and space constraints. The physics link between prefractal regularity and optimal flow performance is clear presented. |
URI: | http://hdl.handle.net/10174/30526 |
Type: | article |
Appears in Collections: | ICT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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