1. Proceedings
  2. I3M
  3. 2022
  4. EMSS
  5. 10.46354/i3m.2022.emss.015

Electrostatic and Aerodynamic Modelling of the Charged Droplet Trajectories thanks to a Lagrangian-Eulerian Model in COMSOL Multiphysics®

  • a Frédéric VIRY ,
  • b Magali STURMA,
  • c Patrick NAMY,
  • d Bruno BARBET
  • a c SIMTEC, 5 rue Félix Poulat, 38000 Grenoble, France
  • b,d MARKEM-IMAJE, 9 rue Gaspard Monge, 26500 Bourg-lès-Valence, France
Cite as
Viry F., Sturma M., Namy P., and Barbet B. (2022).,Electrostatic and Aerodynamic Modelling of the Charged Droplet Trajectories thanks to a Lagrangian-Eulerian Model in COMSOL Multiphysics®. Proceedings of the 34th European Modeling & Simulation Symposium (EMSS 2022). , 015 . DOI: https://doi.org/10.46354/i3m.2022.emss.015

Abstract

In the field of industrial marking, continuous inkjet technology is based on high speed emission of ink drops. The printing quality is directly linked to the interactions of the droplets with their environment during flight time: electric field, aerodynamic perturbations, and droplet-droplet interactions. To model all the physics, a fully coupled model is developed within COMSOL Multiphysics®. Dynamics of droplets are modelled by coupling a particle tracing approach – lagrangian approach – to a continuous eulerian one. For the particle dynamics, the Coulomb force, the Lorentz force and the drag forces, dependent on the air velocity, are considered. The surrounding air is itself driven by the movement of the other droplets, and is modelled by the
Navier-Stokes equation in an eulerian approach. This paper shows the development of a continuous inkjet printhead so called digital twin, providing a decision-making tool to ensure the stability of the ink raster.

References

  1. COMSOL. (2020). COMSOL Multiphysics® v. 5.6.www.comsol.com. Stockholm, Sweden.
  2. COMSOL. (2020). Other Drag Laws, Schiller-Naumann.In COMSOL,Particle TracingModule, User's Guide,COMSOL 5.6(p. 270).
  3. Hughes, T. J., Franca, L. P., & Balestra, M. (1986,November). A new finite element formulation for computational fluid dynamics: V. Circumventingthe babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problemaccommodating equal-order interpolations. Computer Methods in Applied Mechanics and Engineering, 59(1), 85-99.
  4. Ikegawa, M., Eiji, I., Harada, N., & Takagishi, T. (2014).Development of Ink-Particle Flight Simulation forContinuous Inkjet Printer.Journal of ManufacturingScience and Engineering, 136(5).
  5. Martin, G. D., Hoath, S. D., & Hutchings, I. M. (2008).InkjetPrinting-The Physics of Manipulating Liquidjets and Drops.Journal of Physics: Conference Series,105.
  6. Matsumoto, S., Inoue, T., & Matsuno, J. (1999). FlightStability of Droplets in an Electrostatic Ink-JetPrinter.Recent Progress in Ink Jet Technologies II,280-285.
  7. Sturma, M., Namy, P., Bruyère, V., & Barbet, B. (2020).Modeling of charged droplet dynamics in an ElectricField using COMSOL Multiphysics®.COMSOLConference 2020 Europe.