Symmetry-Breaking in Point-Heated Droplets
Abstract
We investigate theoretically the stability of thermo-capillary convection within a droplet when heated by a point source from below. To model the droplet, we use a mathematical model based on lubrication theory. We formulate a base-state droplet profile, and we examine its respect to small-amplitude perturbations in the azimuthal direction. Such linear stability analysis reveals that the base state is stable across a wide parameter space. We carry out transient simulations in three spatial dimensions: the simulations reveal that when the heating is slightly off-centered with respect to the droplet center, vortices develop within the droplet. The vortices persist when the contact line is pinned. These findings are consistent with experimental studies of point-heated sessile droplets.
Keywords
Cite
@article{arxiv.2307.09310,
title = {Symmetry-Breaking in Point-Heated Droplets},
author = {Khang Ee Pang and Charles Cuvillier and Yutaku Kita and Lennon Ó Náraigh},
journal= {arXiv preprint arXiv:2307.09310},
year = {2023}
}
Comments
15 figures