Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/30046

Title: A critical reassessment of the Hess-Murray law under unsteady flow.
Authors: Soni, B.
Miguel, A. F.
Nayak, A. K.
Keywords: tree flow networks
steady flow
unsteady flow
optimal geometry
Issue Date: 2021
Citation: B. Soni, A. F. Miguel, A. K. Nayak. A critical reassessment of the Hess-Murray law under unsteady flow. 12th Conference on Dynamical Systems Applied to Biology and Natural Sciences, Virtual DSABNS, February 2-5, 2021, pp. 201-202
Abstract: In this article, we have proposed a mathematical method based on electrical circuit analogy to derive the relation homothetic ratio for optimal flow access under unsteady state. Based on this, we have also found the homothetic ratio for conduit length. We have shown that unlike to the steady state, it obeys the quartic law instead of cubic law [4]. we have also proved the robustness, convergence and accuracy of model based on impedance minimization and svelteness measure.
URI: http://hdl.handle.net/10174/30046
ISBN: 978-989-98750-8-1
Type: article
Appears in Collections:FIS - Artigos em Livros de Actas/Proceedings

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