Oscillation Modes of Droplets on Vibrating Substrates: A Many-Body DPD Study

ORAL

Abstract

We study droplet oscillations on vibrating solid substrates at the macroscopic scale using Many-body Dissipative Particle Dynamics (MDPD). Focusing on harmonic oscillations induced by one-dimensional horizontal sinusoidal substrate vibrations, our results reveal three distinct oscillation modes: a stable oscillation mode (Mode I), a rotational mode (Mode II), and a shear-dominated breakup mode (Mode III). We systematically investigate these oscillation modes across a range of liquid properties and substrate wettabilities to explore the mechanisms governing mode transitions. Additionally, we examine the Helmholtz free energy of oscillating droplets in each mode by determining the number of contact surfaces within the droplet directly from simulations. The role of rotational dynamics in Mode II is also analyzed. This work contributes to the understanding and optimization of systems involving droplet transport on vibrating substrates.

*This research has been supported by the National Science Centre, Poland, under grant No.\ 2019/34/E/ST3/00232. We gratefully acknowledge Polish high-performance computing infrastructure PLGrid (HPC Center: ACK Cyfronet AGH) for providing computer facilities and support within computational grant no. PLG/2023/016608.

Publication: King L. Ng, Luís H. Carnevale, Michał Klamka, Piotr Deuar, Tomasz Bobinski, Panagiotis E. Theodorakis; Oscillations of a water droplet on a horizontally vibrating substrate. Physics of Fluids 1 January 2025; 37 (1): 014121. https://doi.org/10.1063/5.0250009

King L. Ng, Luís H. Carnevale, Michał Klamka, Piotr Deuar, Tomasz Bobinski, Panagiotis E. Theodorakis; Oscillation Modes of Droplets on Vibrating Substrates: A Many-Body DPD Study. Planned paper.

Presenters

  • King Lun Ng

    • Institute of Physics, Polish Academy of Sciences

Authors

  • King Lun Ng

    • Institute of Physics, Polish Academy of Sciences
  • Luis Henrique Carnevale

    • Institute of Physics, Polish Academy of Sciences
  • Michał K Klamka

    • Warsaw University of Technology-IAAM
  • Piotr Deuar

    • Institute of Physics, Polish Academy of Sciences
  • Tomasz Bobinski

    • Warsaw University of Technology-IAAM
  • Panagiotis E Theodorakis

    • Institute of Physics, Polish Academy of Sciences