Waves beneath a drop levitating over a moving wall
This study elucidates the origin of traveling waves observed on the lower surface of a levitating droplet rolling on a rotating cylindrical drum. The research begins with a simplified model of the lubrication flow beneath the droplet and examines the linear stability of this base state to Tollmien--Schlichting-type perturbations. By solving the Orr-Sommerfeld equation perturbatively, the study predicts the wavelength and phase velocity of the most unstable mode, yielding good agreement with experimental observations.
Authors
- Kyle I. McKee (ORCID: https://orcid.org/0000-0001-6021-2556)
- Kotaro Hashimoto
- Yoshiyuki Tagawa (ORCID: https://orcid.org/0000-0002-0049-1984)
- John W. M. Bush (ORCID: https://orcid.org/0000-0002-7936-7256)
- Bauyrzhan K. Primkulov (ORCID: https://orcid.org/0000-0002-8162-2471)
Institutions
- Massachusetts Institute of Technology (US)
- Tokyo University of Agriculture and Technology (JP)
Publication Details
- Journal
- Physical Review Fluids
- Published
- 2024-09-17
- DOI
- https://doi.org/10.1103/physrevfluids.9.093603
- Primary Topic
- Fluid Dynamics and Heat Transfer
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation