Revealing Actual Viscoelastic Relaxation Times in Capillary Breakup

We use experiments and theory to elucidate the size effect in capillary breakup rheometry, where pre-stretching in the visco-capillary stage causes the apparent relaxation time to be consistently smaller than the actual value. We propose a method accounting for both the experimental size and the finite extensibility of polymers to extract the actual relaxation time. A phase diagram characterizes the expected measurement variability and delineates scaling law conditions. The results refine capillary breakup rheometry for viscoelastic fluids and advance the understanding of breakup dynamics across scales.

Publication Details

Journal
ArXiv.org
Published
2025-03-07
Primary Topic
Rheology and Fluid Dynamics Studies
Type
article
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article

Revealing Actual Viscoelastic Relaxation Times in Capillary Breakup

ArXiv.org
Rheology and Fluid Dynamics Studies
article

Revealing Actual Viscoelastic Relaxation Times in Capillary Breakup

article en

Abstract

We use experiments and theory to elucidate the size effect in capillary breakup rheometry, where pre-stretching in the visco-capillary stage causes the apparent relaxation time to be consistently smaller than the actual value. We propose a method accounting for both the experimental size and the finite extensibility of polymers to extract the actual relaxation time. A phase diagram characterizes the expected measurement variability and delineates scaling law conditions. The results refine capillary breakup rheometry for viscoelastic fluids and advance the understanding of breakup dynamics across scales.

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Revealing Actual Viscoelastic Relaxation Times in Capillary Breakup · ArXiv.org (2025) | TGRS Research Map | TGRS