Approximation of potential-driven flow dynamics in large-scale self-similar tree networks

DOI10.1098/rspa.2011.0113zbMath1223.00016OpenAlexW2097290623MaRDI QIDQ3092874

Jason Mayes, Mihir Sen

Publication date: 11 October 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0113

zbMATH Keywords

networktreedynamicsflowbranchingself-similar

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Dynamical systems in biology (37N25) General theory of mathematical modeling (00A71) Systems biology, networks (92C42)

Related Items (5)

Structure and stability of the equilibrium set in potential-driven flow networks ⋮ A NOVEL PERMEABILITY MODEL IN DAMAGED TREE-LIKE BIFURCATING NETWORKS CONSIDERING THE INFLUENCE OF ROUGHNESS ⋮ On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations ⋮ Damage modeling and detection for a tree network using fractional-order calculus ⋮ Implicit and fractional-derivative operators in infinite networks of integer-order components

Cites Work

• Blood flow simulation through fractal models of circulatory system
• Efficiency of optimized bifurcating tree-like and parallel microchannel networks in the cooling of electronics
• Models of fractal river basins
• Heat transfer and pressure drop in fractal tree-like microchannel nets
• Flows in large, self-similar tree networks and their control

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