Abstract
A conservative level-set model for direct simulation of two-phase flows with thermocapillary effects at dynamically deformable interface is presented. The Navier-Stokes equations coupled with the energy conservation equation are solved by means of a finite-volume/level-set method. Some numerical examples including thermocapillary motion of single and multiple fluid particles are computed by means of the present method. The results are compared with analytical solutions and numerical results from the literature as validations of the proposed model.
Highlights
When a fluid particle is placed in a second fluid in which a temperature gradient is imposed, it will move from the region with higher temperature to that with lower temperature so that the surface energy is minimized
Some numerical methods have been developed to include the deformation of the droplets, to the best of the author’s knowledge there are not previous works on thermocapillary motion by means of the conservative level-set method [6, 7, 8]
It is the purpose of this work to introduce a general numerical technique for simulating thermocapillary motion of deformable fluid particles, so that effects such as heat convection, container walls or the interaction of multiple fluid particles can be included
Summary
When a fluid particle (bubble or drop) is placed in a second fluid in which a temperature gradient is imposed, it will move from the region with higher temperature to that with lower temperature so that the surface energy is minimized. A conservative level-set model for direct simulation of two-phase flows with thermocapillary effects at dynamically deformable interface is presented.
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