Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model. (English) Zbl 1162.76043
Summary: Bifurcations in capillarity-driven two-phase fluid systems, due to different mobilities in phase-field models for such systems, are studied by using a lattice Boltzmann method. Specifically, two-dimensional and three-dimensional droplets on a flat wall with given wettability variations are investigated. It is found that the mobility controls the rate of diffusive relaxation of the phase field from non-equilibrium toward equilibrium, and similar to previous findings on mechanically driven two-phase systems, the mobility is closely related to the contact line velocity. For the cases investigated, different mobilities across a critical value result in fundamentally different system evolution routes and final stable equilibrium states. These results may provide some implications for phase-field study of droplet manipulations by surface wettability adjustments in microfluidics.
MSC:
| 76M28 | Particle methods and lattice-gas methods |
| 76E17 | Interfacial stability and instability in hydrodynamic stability |
| 76D45 | Capillarity (surface tension) for incompressible viscous fluids |
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