Publication Date
1-15-2025
Document Type
Article
Publication Title
Physics of Fluids
Volume
37
Issue
1
DOI
10.1063/5.0249847
Abstract
We simulate the mesoscopic dynamics of droplets formed by phase-separated fluids at nanometer scales where thermal fluctuations are significant. Both spherical droplets fully immersed in a second fluid and sessile droplets which are also in contact with a solid surface are studied. Our model combines a Cahn-Hilliard formulation with incompressible fluctuating hydrodynamics; for sessile droplets, the fluid-solid contact angle is specified as a boundary condition. Deterministic simulations with an applied body force are used to measure the droplets' mobility from which a diffusion coefficient is obtained using the Einstein relation. Stochastic simulations are independently used to obtain a diffusion coefficient from a linear fit of the variance of a droplet's position with time. In some scenarios, these two measurements give the same value but not in the case of a spherical droplet initialized near a slip wall or in the case of sessile droplets with large contact angles ( ≥ 90 ° ) on both slip and no-slip surfaces.
Department
Physics and Astronomy
Recommended Citation
John B. Bell, Andrew Nonaka, and Alejandro L. Garcia. "Spherical and Sessile Droplet Dynamics by Fluctuating Hydrodynamics" Physics of Fluids (2025). https://doi.org/10.1063/5.0249847
Accepted manuscript
Comments
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Fluids and may be found at https://doi.org/10.1063/5.0249847.