| Abstract: | This paper deals with a mathematical model for melting of ferro-manganese particles in liquid iron in a ladle. With the assumption that the resistance of heat transport in the iron shell that initially freezes at the particle surface is zero, the particle melting time can be calculated analytically. To describe the total melting rate of alloy particles added into the ladle, a melting distribution function is introduced. It includes the melting time of the individual particles, the particle size distribution, and the addition function of the particles. The factors influencing the melting behaviour of the addition are investigated. The melting behaviour is greatly affected by the particle size distribution, the temperature of the melt, and the particle-melt slip velocity. The addition time and the addition function have only a small influence on the melting behaviour. |
