4,109 research outputs found
A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects
In this paper, we develop a phase-field model for binary incompressible
(quasi-incompressible) fluid with thermocapillary effects, which allows for the
different properties (densities, viscosities and heat conductivities) of each
component while maintaining thermodynamic consistency. The governing equations
of the model including the Navier-Stokes equations with additional stress term,
Cahn-Hilliard equations and energy balance equation are derived within a
thermodynamic framework based on entropy generation, which guarantees
thermodynamic consistency. A sharp-interface limit analysis is carried out to
show that the interfacial conditions of the classical sharp-interface models
can be recovered from our phase-field model. Moreover, some numerical examples
including thermocapillary convections in a two-layer fluid system and
thermocapillary migration of a drop are computed using a continuous finite
element method. The results are compared to the corresponding analytical
solutions and the existing numerical results as validations for our model
Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method
10.1016/j.jcp.2007.12.002Journal of Computational Physics22763358-3382JCTP
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