TY - JOUR
T1 - Flow stability in shallow droplets subject to localized heating of the bottom plate
AU - Pang, Khang Ee
AU - Cuvillier, Charles
AU - Kita, Yutaku
AU - Ó Náraigh, Lennon
N1 - Funding Information:
This publication has emanated from research supported in part by a Grant from Science Foundation Ireland under Grant No. 18/CRT/6049. L.O.N. and Y.K. have also been supported by the ThermaSMART network. The ThermaSMART network has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska–Curie grant Agreement No. 778104. We thank an anonymous referee for insights offered and the members of the UCD Fluids Group for helpful comments and suggestions.
Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/1/16
Y1 - 2024/1/16
N2 - We investigate theoretically the stability of thermo-capillary convection within a droplet when subject to localized heating 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 stability with 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 locally heated sessile droplets.
AB - We investigate theoretically the stability of thermo-capillary convection within a droplet when subject to localized heating 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 stability with 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 locally heated sessile droplets.
UR - https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.9.014003
UR - http://www.scopus.com/inward/record.url?scp=85182729270&partnerID=8YFLogxK
U2 - 10.1103/PhysRevFluids.9.014003
DO - 10.1103/PhysRevFluids.9.014003
M3 - Article
SN - 2469-990X
VL - 9
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 1
M1 - 014003
ER -