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arXiv · 2402.19185

Properties of Hagen-Poiseuille flow in channel networks

A. F. Valente·R. Almeida·R. Dilão
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Abstract

We derive the main properties of adaptive Hagen-Poiseuille flows in elastic microchannel networks similar to biological veins found in organisms. We demonstrate that adaptive Hagen-Poiseuille flows effectively simulate key features of \textit{Physarum polycephalum} networks, replicating physiological out-of-equilibrium phenomena such as peristalsis and shuttle streaming, which are associated with the mechanism of nutrient transport in \textit{Physarum}. A new topological steady state has been identified for asynchronous adaptation, supporting out-of-equilibrium laminar fluxes. Adaptive Hagen-Poiseuille flows exhibit saturation effects on the fluxes in contractile veins, as observed in both animal and artificial contractile veins. These results suggest that the non-equilibrium effects observed in \textit{Physarum} have a hydrodynamic origin

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A. F. Valente, R. Almeida, R. Dilão. 2024-02-29. Properties of Hagen-Poiseuille flow in channel networks. https://arxiv.org/abs/2402.19185

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