A mathematical analysis for constructal design of tree flow networks under unsteady flow

DOI10.1098/rspa.2020.0377zbMath1472.76133OpenAlexW3073895603MaRDI QIDQ5161051

Antonio F. Miguel, Bharat K. Soni, Ameeya Kumar Nayak

Publication date: 29 October 2021

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.2020.0377

zbMATH Keywords

fluid mechanicsunsteady flowoptimal designmathematical physicsapplied mathematicsconstructal designflow impedancegeneralized Murray's law

Mathematics Subject Classification ID

Physiological flows (76Z05) Systems biology, networks (92C42)

Cites Work

• Toward an optimal design principle in symmetric and asymmetric tree flow networks
• The human respiratory system. An analysis of the interplay between anatomy, structure, breathing and fractal dynamics
• On deriving lumped models for blood flow and pressure in the systemic arteries

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