Line Stretching in Random Flows

Fuente: arXiv
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Main Authors: Lester, Daniel, Dentz, Marco
Format: Preprint
Published: 2025
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author Lester, Daniel
Dentz, Marco
author_facet Lester, Daniel
Dentz, Marco
contents How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling process balancing ensemble and temporal averaging that is mediated by particle dispersion. These results expose the rich dynamics of line stretching and compel reassessment of experimental data and models of fluid-borne phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2504_17982
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Line Stretching in Random Flows
Lester, Daniel
Dentz, Marco
Fluid Dynamics
How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling process balancing ensemble and temporal averaging that is mediated by particle dispersion. These results expose the rich dynamics of line stretching and compel reassessment of experimental data and models of fluid-borne phenomena.
title Line Stretching in Random Flows
topic Fluid Dynamics
url https://arxiv.org/abs/2504.17982