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    Revealing Actual Viscoelastic Relaxation Times in Capillary Breakup

    Nan Hu1,*, Jonghyun Hwang1, Tachin Ruangkriengsin2, and Howard A. Stone1,†

    • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
    • 2Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA

    • *Contact author: nh0529@princeton.edu
    • †Contact author: hastone@princeton.edu

    Phys. Rev. Lett. 135, 048201 – Published 23 July, 2025

    DOI: https://doi.org/10.1103/2jz7-4w4k

    Abstract

    We use experiments and theory to elucidate the size effect in capillary breakup rheometry, where prestretching in the viscocapillary 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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