Abstract. Electron beam melting (EBM) in vacuum is one of the most promising technologies for refining and recycling of metals that react with oxygen when heated. Hf is such a metal. Pure Hf (with a small content of gas and metal impurities) is needed for a variety of applications in the aerospace industry and metallurgy, in the production of components of nuclear reactors, microprocessors, optical components etc. We conducted experiments with the ELIT-60 equipment on Hf ingots at electron beam powers of 12, 15, 17 kW and obtained data about the concentration of impurities by the ICP-MS method. For further understanding and optimizing the Hf refining processes, a non-stationary heat model was applied for numerical simulation of the heat transfer processes. Simulation data about the liquid pool variation during the e-beam treatment was thus obtained. The flatness of the crystallization front shape, which is connected to the structure quality, was investigated by optimization criteria related to the curvature of the liquid/solid boundary curve. We also describe an algorithm for calculation of the criteria. One of the criteria was applied to EBM of Hf for different electron beam powers; the results obtained were confirmed by the experimental data. Combining experimental, theoretical and simulation results, a proper technological regime is proposed for better Hf refining.
IntroductionElectron beam melting and refining (EBMR) is a method applied in the special electrometallurgy for production of pure metals and alloys and of new materials [1][2][3][4][5][6]. The electron beam technologies and, in particular, the technologies for EBMR of metals and alloys have been recognized as a competitive, if not the only, method for obtaining new materials for uses in various fields: nuclear industry, medicine, electronics, instrument engineering, transport, etc. The principle and a description of the EBMR process have been presented in [1,2,3,6]. Computational modeling gives a possibility for a better understanding and investigating the heat transfer mechanisms and can be used for optimizing the electron beam process for obtaining new materials with improved characteristics. In [7], a stationary heat model was described and applied to studying the EBMR process. This mathematical model was extended to a time-dependent heat model with a Pismen-Rekford numerical scheme that is absolutely stable with respect to the time [8].