2021 №01 (02) DOI of Article
2021 №01 (04)

Electrometallurgy Today 2021 #01
SEM, 2021, #1, 27-34 pages

Mathematical modeling of hydrodynamic and thermal processes at crystallization of titanium ingots produced by EBM

S.V. Akhonin1, V.O. Berezos1, O.I. Bondar2, O.I. Glukhenkii2, Yu.M. Goryslavets2, A.Yu. Severin1
1E.O. Paton Electric Welding Institute of the NAS of Ukraine. 11 Kazymyr Malevych Str., Kyiv, 03150, Ukraine. E-mail: office@paton.kiev.ua
2Institute of Electrodynamics of the NAS of Ukraine. 56 Peremohy Prosp., 03057, Kyiv, Ukraine. E-mail: bondar_o_i@ukr.net

It is shown that when specifying the productivity of EBM process, the phenomenon of thermogravitational convection is a weighty factor that determines the thermal state of the ingot. A mathematical model of interrelated hydrodynamic and thermal processes in the crystallizing metal, taking into account the phenomena of thermogravitational convection, was formulated for a steady-state mode of the process of electron beam melting of titanium into a straight-through cylindrical crucible. The thermal state of the ingot was determined, as well as the position of the solidification front at continuous feeding of liquid titanium from the cold hearth into the crucible, depending on metal temperature at the inlet and speed of ingot drawing for laminar mode of hydrodynamic flow in the liquid pool. It is found that at increase of metal temperature at the inlet to the crucible in the studied range (2040…2100 К) shifting of the point of maximum pool depth from the ingot axis becomes smaller. Calculations within the constructed mathematical model were used to study the impact of the rate of liquid metal feed from the cold hearth into the crucible on the liquid pool shape and depth. It is found that at increase of ingot drawing rate by 30 % the liquid pool depth increases 1.5 times, and the point of maximum depth of the liquid pool becomes close to ingot axis. Ref. 10, Tabl. 1, Fig. 9.
Ключові слова: mathematical modeling; electron beam melting; hydrodynamic and thermal processes; ingot; titanium; continuous casting

Received 03.02.2021


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