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http://hdl.handle.net/10174/23373
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Title: | A general model for optimal branching of fluidic networks |
Authors: | Miguel, A. F. |
Keywords: | Ramifying flow networks Tree flow networks Curved tubes Dean number Permeable tubes Newtonian and non-Newtonian fluids Slug/bubble dynamics Hess–Murray’s law Optimal branching Constructal law |
Issue Date: | Dec-2018 |
Citation: | A. F. Miguel (2018) A general model for optimal branching of fluidic networks. Physica A 512, 665-674 |
Abstract: | Ramifying networks of tubes for delivery and multipoint distribution of fluids pervade
engineered and living systems. Bifurcating (pairing) is the basic building blocks of all these
trees. Comprehensively characterizing of ramified networks requires optimization rules for the sizes of the bifurcating tubes. In this paper, we derive generalized rules applicable to branching of both straight and curved tubes, impermeable and permeable tubes for fluid flows that exhibit different properties (Newtonian and non-Newtonian, laminar and turbulent). Key characteristics of design resulting of these rules are also discussed and compared with analytical expressions for the optimum daughter–parent sizes available in the literature. Here we also report the influence of individual slug/bubbles on flows in optimal branching tubes that is of practical importance, since they are found in both engineered and living systems. |
URI: | http://hdl.handle.net/10174/23373 |
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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