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    Modeling the post-impact dynamics of liquid marbles on a hydrophilic surface: Investigating bounces and oscillation

    Mohammad Javad Akbari*, Hadis Edrisnia*, Mohammad Hossein Sarkhosh, Mohammad Ali Bijarchi†, and Mohammad Behshad Shafii‡

    • *These authors contributed equally to this work.
    • †Contact author: bijarchi@sharif.edu
    • ‡Contact author: behshad@sharif.edu

    Phys. Rev. Fluids 10, 103604 – Published 31 October, 2025

    DOI: https://doi.org/10.1103/7c48-kyjr

    Abstract

    Liquid marbles, droplets coated with hydrophobic micro/nanoparticles, exhibit unique post-impact behaviors. This study experimentally investigates the oscillations and bouncing dynamics of liquid marble on a hydrophilic surface, and compares it with a mass-spring-damper model, to better understand the influence of parameters such as the Weber number (We), Bond number (Bo), and Ohnesorge number (Oh). Theoretical and experimental analyses were conducted to evaluate liquid marble's impact across different viscosities, volumes, and impact velocities. The MSD model describes liquid marble oscillations in two phases: (A) free oscillation during bouncing between two consecutive impacts, and (B) oscillation following the final bounce when the liquid marble is in contact with the surface, achieving a total error of less than 5%. The findings reveal that an increase in the Oh, Bo, and We results in a higher, lower, and higher damping ratio. As a proof of concept, this study highlights the potential for measuring key physical properties of liquid marble's core fluid by analyzing its oscillation damping ratio. Moreover, the number of bounces decreases with rising Oh, driven by heightened viscous dissipation. Greater We values intensify energy loss through deformation and inertial effects, further limiting the number of bounces.

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