doiSerbia

Investigation of electrohydrodynamic calculations

Bošković Stefan A. (Innovation Center of the Faculty of Technology and Metallurgy in Belgrade, Belgrade, Serbia), sboskovic@tmf.bg.ac.rs
Karač Aleksandar (Polytechnic Faculty, University of Zenica, Zenica, Bosnia and Herzegovina)
Vrhovac Slobodan B. (University of Belgrade, Institute of Physics Belgrade, Belgrade, Serbia)
Belić Aleksandar (University of Belgrade, Institute of Physics Belgrade, Belgrade, Serbia)
Bugarski Branko (University of Belgrade, Faculty of Technology and Metallurgy, Belgrade, Serbia)

A perfect dielectric model was incorporated into the OpenFOAM® software and used for investigation and, possibly, improvements of electrohydrodynamic calculations. Two different sets of numerical simulations were analyzed, in which two different fluids were present. The first set was one-dimensional, while in the second, a drop of one fluid was surrounded by the other fluid. It is shown that oscillations and possible artificial generation of a curl of the electric field strength can be observed at applying certain expressions or calculation strategies, which can be thus abandoned. Usage of dynamic meshes, at least those present in the used software, and of limiters for the gradient of the electric field strength can lead to large numerical errors. It is also shown that usage of certain cell face values could improve the results. An electric Courant number was derived by dimensional analysis, and it could be suggested for future calculations. Conclusions made in this paper are expected to be transferable to other more complicated models.

Keywords: electrohydrodynamics, OpenFOAM®, perfect dielectric model, electric Courant number

Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. 451-03-9/2021-14/200287 and Grant no. 451-03-9/2021-14/200135