AUTHOR=Qin Ximei 

TITLE=A hybrid axisymmetric conservative phase-field lattice Boltzmann method for hollow droplet migration

JOURNAL=Frontiers in Physics

VOLUME=11

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1230299

DOI=10.3389/fphy.2023.1230299

ISSN=2296-424X

ABSTRACT=<p>A hybrid axisymmetric conservative phase-field lattice Boltzmann method is applied to investigate the influence of Marangoni number (<italic>Ma</italic>), density ratio (<italic>ρ</italic><sub><italic>r</italic></sub>), and radius ratio (<italic>R</italic><sub><italic>r</italic></sub>) on thermocapillary migration of a deformable hollow droplet with difference in variable fluid properties, where <italic>ρ</italic><sub><italic>r</italic></sub> (<italic>R</italic><sub><italic>r</italic></sub>) is the density (radius) ratio of the hollow part of the droplet. The isotherms show that heat transfer around the hollow droplet is changed from conduction to convection with the increase in <italic>Ma</italic>. However, the temperature gradient across the hollow droplet decreases with <italic>Ma</italic>, which induces a small magnitude of migration velocity. When <italic>ρ</italic><sub><italic>r</italic></sub> is increased, the isotherms are accumulated around the hollow droplet front with a large temperature gradient, which enhances the hollow droplet migration, while the migration velocity is decreased with the increase in <italic>R</italic><sub><italic>r</italic></sub>. It is observed that thermocapillary migration of the hollow droplet finally becomes a pure droplet with the influence of aforementioned parameters, and it experiences interface breaking and coalescing, which causes a large transient variation in migration velocity. The magnitude of this transient variation in migration velocity is not obviously affected by <italic>Ma</italic> but significantly affected by <italic>ρ</italic><sub><italic>r</italic></sub> and <italic>R</italic><sub><italic>r</italic></sub>. The measured evolution of <italic>d</italic> (the dimensionless distance between inner and outer fronts of the hollow droplet) demonstrates that <italic>ρ</italic><sub><italic>r</italic></sub> has a significant influence on the reduction rate of <italic>d</italic> in comparison with the influence of <italic>Ma</italic> and <italic>R</italic><sub><italic>r</italic></sub>. Similar influences on the relative migration velocity between the fluid of the hollow part inside the droplet and the sealed fluid of the droplet are observed.</p>