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arXiv · 2502.09179

Sliding dynamics of a particle in a soap film

Youna Louyer·Benjamin Dollet·Isabelle Cantat·Anaïs Gauthier
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Abstract

We investigate the sliding dynamics of a millimeter-sized particle trapped in a horizontal soap film. Once released, the particle moves toward the center of the film in damped oscillations. We study experimentally and model the forces acting on the particle, and evidence the key role of the mass of the film on its shape and particle dynamics. Not only is the gravitational distortion of the film measurable, it completely determines the force responsible for the motion of the particle - the catenoid-like deformation induced by the particle has negligible effect on the dynamics. Surprisingly, this is expected for all film sizes as long as the particle radius remains much smaller than the film width. We also measure the friction force, and show that ambient air and the film contribute almost equally to the friction. The theoretical model that we propose predicts exactly the friction coefficient as long as inertial effects can be neglected in air (for the smallest and slowest particles). The fit between theory and experiments sets an upper boundary of 0.01 {\mu}Pa s m for the surface viscosity, in excellent agreement with recent interfacial microrheology measurements.

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Youna Louyer, Benjamin Dollet, Isabelle Cantat, Anaïs Gauthier. 2025-02-13. Sliding dynamics of a particle in a soap film. https://doi.org/10.1017/jfm.2025.157

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