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Autores principales: Kamamoto, Kyota, Hosokawa, Asuka, Tagawa, Yoshiyuki
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2601.20558
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author Kamamoto, Kyota
Hosokawa, Asuka
Tagawa, Yoshiyuki
author_facet Kamamoto, Kyota
Hosokawa, Asuka
Tagawa, Yoshiyuki
contents We investigate the dynamics of a "bungee-jumper" jet induced by an impulsive force, which retracts after reaching its peak extension. Despite the strongly extensional and highly nonequilibrium nature of this motion, the jet exhibits simple and uniform rheological responses. To elucidate its extensional behavior in a highly extensional regime quantified by large Deborah and Reynolds numbers ($De \approx 2.1 \times 10^1 - 3.3 \times 10^3$, $Re \approx 2.8 \times 10^1 - 4.6 \times 10^2$), we use high-speed velocimetry and polarization-based stress imaging to measure the spatial distribution of velocity and stress throughout jets made of dilute polyethylene oxide (PEO) solutions. The bungee-jumper jets are found to exhibit two uniform characteristics despite the extreme $De$ conditions: a consistent spatial distribution of the extensional rate and a nearly uniform stress distribution during the jetting motion. These uniformities indicate that the seemingly complex jet dynamics can in fact be effectively represented using a constitutive model with spatially uniform coefficients. Comparison of several viscoelastic models shows that the Voigt model provides the best agreement with the measured dynamics, while the single-spring model captures the essential behavior when elasticity dominates.
format Preprint
id arxiv_https___arxiv_org_abs_2601_20558
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Impact-induced viscoelastic bungee-jumper jets with uniform extension and stress
Kamamoto, Kyota
Hosokawa, Asuka
Tagawa, Yoshiyuki
Fluid Dynamics
We investigate the dynamics of a "bungee-jumper" jet induced by an impulsive force, which retracts after reaching its peak extension. Despite the strongly extensional and highly nonequilibrium nature of this motion, the jet exhibits simple and uniform rheological responses. To elucidate its extensional behavior in a highly extensional regime quantified by large Deborah and Reynolds numbers ($De \approx 2.1 \times 10^1 - 3.3 \times 10^3$, $Re \approx 2.8 \times 10^1 - 4.6 \times 10^2$), we use high-speed velocimetry and polarization-based stress imaging to measure the spatial distribution of velocity and stress throughout jets made of dilute polyethylene oxide (PEO) solutions. The bungee-jumper jets are found to exhibit two uniform characteristics despite the extreme $De$ conditions: a consistent spatial distribution of the extensional rate and a nearly uniform stress distribution during the jetting motion. These uniformities indicate that the seemingly complex jet dynamics can in fact be effectively represented using a constitutive model with spatially uniform coefficients. Comparison of several viscoelastic models shows that the Voigt model provides the best agreement with the measured dynamics, while the single-spring model captures the essential behavior when elasticity dominates.
title Impact-induced viscoelastic bungee-jumper jets with uniform extension and stress
topic Fluid Dynamics
url https://arxiv.org/abs/2601.20558