Abstract
A scheme of a reverberatory furnace for melting aluminum waste with a cylindrical electrovortex chamber, in which a vortex (rotating) flow of liquid metal is created using a curve inductor, is presented. This chamber is connected to the melting bath of the furnace by two channels and performs two functions: it stirs the molten metal in the furnace bath and immerses crushed metal scrap into the melt to protect the metal from oxidation with its subsequent transportation to the melting bath. For such a system, a mathematical model has been formulated to study electromagnetic and hydrodynamic processes in it, taking into account the deformation of the free surface (meniscus) of the liquid metal. The model consists of two parts - systems of differential equations that describe the specified processes. The deformation of the free surface was determined by the moving grid method. The study was conducted for different values of the height of the metal in the furnace bath, which varied from the initial value of 0.2 m to the full height of the bath of 0.5 m, which simulated the process of metal deposition in the furnace during operation. Two options for the location of the inductor along the height of the vortex chamber were considered: one - in its lower part, and the second - in the middle relative to the height of the metal of the fully deposited furnace bath. As a result of the simulation, the velocity distributions of the liquid metal in the furnace bath and the vortex chamber were obtained, the deformation of the upper free surface of the metal in the chamber and the average level of metal in it relative to the level of metal in the melting bath were determined. For different fillings of the furnace bath, the trajectories of the movement of the liquid metal in the electrovortex chamber were determined. References 10, figures 8.
References
1. Hnatush V.A. World trends in the secondary recycling market for waste and scrap aluminum alloys. Protsesy lyttia. 2020. No 3 (141). Pp. 56-69. (Ukr)
2. Pyrotek. Foundry and Die Casting/LOTUSS Systems. URL: https://www.pyrotek.com/products/foundry/show/ProductLine/lotuss-systems (accessed at 01.10.2025).
3. Starczewski R. Developments in scrap submergence technology for light gauge scrap and alloy charging (LOTUSS technology). 20th International Recycled Aluminium Conference, Salzburg, Austria, 19-21 November 2012.
4. Wider success for LOTUSS remelt system. Foundry Insight. February 2009. Vol. 3. Issue 1.
5. Penkovyi T.O., Bondar O.I., Goryslavets Yu.M. Three-dimensional modeling of electromagnetic and hydrodynamic processes in a reverberatory furnace for aluminum with an electrovortex chamber. Pratsi Instytutu Elektrodynamiky Natsionalnoi Akademii Nauk Ukrainy. 2024. Vyp. 69. Pp. 12-18. DOI: https://doi.org/10.15407/publishing2024.69.012. (Ukr)
6. Bright M., Ilinca F., Hetu J.-F., Ajersch F., Saliba C., Vild C. Fluid modeling of the flow and free surface parameters in the metaullics lotuss system. Light Metals 2009: Proceedings of the technical sessions presented by the TMS Aluminum Committee at the TMS 2009 Annual Meeting & Exhibition, San Francisco, California, USA, February 15-19, 2009. Pp. 621-626.
7. Ilinca F., Pelletier D. Positivity preservation and adaptive solution of the k-ε model of turbulence. AIAA Journal. 1998. 36(1). Pp. 44-50.
8. Kuzmin D., Mierka O., Turek S. On the implementation of the k-ε turbulence model in incompressible flow solvers based on a finite element discretization. Int. J. Computing Science and Mathematics. 2007. Vol. 1. Issue 2-4. Рp. 193-206. DOI: https://doi.org/10.1504/IJCSM.2007.016531.
9. Braess H., Wriggers P. Arbitrary Lagrangian Eulerian finite element analysis of free surface flow. Comput. Methods Appl. Mech. Engrg. 2000. Рp. 95-109. DOI: https://doi.org/10.1016/S0045-7825(99)00416-8.
10. COMSOL Multiphysics. Simulation Software. URL: https://www.comsol.com/comsol-multiphysics (accessed at 01.10.2025).

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright (c) 2026 Tekhnichna Elektrodynamika

