Walking droplets have been halted

The swinging motion of the eigenmodes of a free inviscid drop has been known for nearly a century. Yet, as the drop sits on a solid substrate, getting flattened by gravity, analytical solutions waver due to the non-spherical base state and the dynamics of the three-phase contact line. The recent pap...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fluid mechanics 2023-06, Vol.966, Article F1
Main Authors: Viola, F., Verzicco, R.
Format: Article
Language:English
Subjects:
Bonding
Boundary element method
Contact angle
Droplets
Eigenvalues
Equilibrium
Exact solutions
Focus on Fluids
Gravitational effects
Gravity
Gravity effects
Mathematical analysis
Substrates
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The swinging motion of the eigenmodes of a free inviscid drop has been known for nearly a century. Yet, as the drop sits on a solid substrate, getting flattened by gravity, analytical solutions waver due to the non-spherical base state and the dynamics of the three-phase contact line. The recent paper by Zhang et al. (J. Fluid Mech., vol. 962, 2023, A10) investigated the effect of gravity on the harmonic modes of sessile droplets for free and pinned contact line conditions. An effective boundary element method has been used to solve both axisymmetric and non-axisymmetric modes for a variety of Bond numbers and static contact angles, also revising on the way a debated capillary instability.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2023.443