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Occlusions in dendritic flow networks

A.F. Miguel

Physica A: Statistical Mechanics and its Applications, 2019, vol. 535, issue C

Abstract: The shape and structure of flow networks is a topic of long-standing interest in natural and technological systems. Observations suggest that real-world flow networks may exhibit partial occlusions in paths (e.g., tubes, vessels). Here, dendritic patterns of fluid streams are viewed as a porous material, and the effect of obstructed paths in these networks designed for fluid flow under uniform and constant heat fluxes is investigated. Analytical approaches are presented that explicitly show the roles played by the network structure, the number of obstructed paths, and the geometrical place in which obstructions occur, on fluid flow properties. Structural features of bifurcating flow networks under laminar constant and pulsatile flows are analyzed. Our approaches provide several insights into the effect of paths structural parameters, and the effect of place where obstructions occur that can enlighten our understanding of network flow response.

Keywords: Dendritic flow networks; Porous materials; Occlusion of tubes; Obstruction of vessels; Flow impedance; Permeability; Heat fluxes; Constructal design (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314207

DOI: 10.1016/j.physa.2019.122473

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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