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\begin{document}

\title{Chaos and Mixing in NETmix}



\author[1]{Joana Matos}%
\author[1]{Ricardo Santos}%
\author[1]{Madalena Dias}%
\author[2]{José Carlos Lopes}%
\affil[1]{Faculdade de Engenharia da Universidade do Porto}%
\affil[2]{Universidade do Porto Faculdade de Engenharia}%


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  \date{May 26, 2024}


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\begin{abstract}
NETmix is a network of mixing chambers interconnected by channels, in
which the most efficient mixing occurs under chaotic flow regimes. Chaos
is highly influenced by the topology, particularly by the ratio chamber
diameter/channel width, D/d. In this work, micromixing in NETmix is
characterized through Lagrangian Mixing Simulation (LMS), which enables
to establish the relation between the degree of mixing and the topology,
D/d. The degree of mixing is then related with the Eulerian chaoticity
from hydrodynamics and spectral analysis. The best mixing is obtained at
D/d = 6.65 and is associated to a thin 8 shaped strange attractor. The
spectral analysis shows a principal oscillation frequency at St = 0.13.
Since the quasi-periodic regime is alternated with chaotic behaviour,
NETmix has an intermittent bifurcation. For the NETmix system, orderly
flows in the quasi-periodic regime have higher mixing intensity than
less orderly flows in the weak or strong chaotic regimes.%
\end{abstract}%



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\textbf{Hosted file}

\verb`Chaos_and Mixing_in_NETmix_.docx`  available at \url{https://authorea.com/users/392348/articles/723880-chaos-and-mixing-in-netmix}

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