A charge-conservative approach for simulating electrohydrodynamic two-phase flows using Volume-Of-Fluid
Résumé
In the present study we propose a charge-conservative scheme to solve twophase
electrohydrodynamic (EHD) problems using the Volume-of-Fluid (VOF)
method. EHD problems are usually simplified by assuming that the fluids
involved are purely dielectric (insulators) or purely conducting. Gases can
be considered as perfect insulators but pure dielectric liquids do not exist in
nature and insulating liquids have to be approximated using the “Taylor–
Melcher leaky dielectric model” [1, 2] in which a leakage of charge through
the liquid due to ohmic conduction is allowed. It is also a customary assumption
to neglect the convection of charge against the ohmic conduction.
The scheme proposed in this article can deal with any EHD problem since
it does not rely on any of the above simplifications. An unrestricted EHD
solver requires not only to incorporate electric forces in the Navier-Stokes
equations, but also to consider the charge migration due to both conduction
and convection in the electric charge conservation equation [3]. The conducting
or insulating nature of the fluids arise on their own as a result of their
electric and fluid mechanical properties. The EHD solver has been built as an
extension to Gerris, a Free Software solver for the solution of incompressible
fluid motion using an adaptive VOF method on octree meshes developed by
Popinet [4, 5].
Origine | Fichiers produits par l'(les) auteur(s) |
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