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
E.O. Paton Electric Welding Institute of the NAS of Ukraine.
11 Kazymyr Malevych Str., Kyiv, 03150, Ukraine. E-mail: firstname.lastname@example.org
Institute of Electrodynamics of the NAS of Ukraine.
56 Peremohy Prosp., 03057, Kyiv, Ukraine. E-mail: email@example.com
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.
mathematical modeling; electron beam melting; hydrodynamic and thermal processes; ingot; titanium;
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