Abstract

In this work, we solved two tasks. The first task is devoted to the calculation of optimal feed consumable electrode in electroslag induction furnace for remelting and forming from copper billets for manufacture of working walls of continuous casting machine billet. The second task is devoted to the evaluation of the contribution of the Peltier heat at the crystallization of the formed ingot. The first task carried out using the variational principle of Biot, which is based on the Lagrange formalism. Obtained the formula for the velocity of the melting front, which uniquely identifies the feed rate of the electrode into the slag bath. With the help of this formula under the given technological operation modes of the installation electroslag remelting is possible to calculate its performance. The second problem allowed us to assess the contribution of the Peltier heat output to the rate of crystallization of the formed copper ingot during electroslag remelting. A numerical calculation of the contribution of waste heat was of the order of five percent. This result showed that on the same size you can decrease the flow of cooled fluid supplied to the mould wall.

Keywords

The principle of Bio, the crystallization speed, the crystallization front, Peltier effect, Onsager equation, electroslag remelting.