A Simplified Calculation of Cooling Condition and Withdrawal Rate for Continuous Casting

Abstract

This paper presents a design calculation of the continuous casting of metals. Fundamental equations given in relation to the unidirectional transient conduction in the water-cooled mold zone and in the spray-cooling zone have been solved analytically with the several simplified assumptions. An important dimensionless factor H₂ which determines the quantitative correlation between the length of the cooling zone and thermal diffusivity, thickness and moving rate of the ingot are obtained from calculation based on the solutions.
In the case of casting steel ingot, it is found that the numerical value of H₂ may not be influenced largely by the ratio of the length of copper mold to the total length of cooling zone, the wall thickness of the mold, heat transfef coefficient in the spray-cooling zone and the thickness of the ingot.
Estimated values of residence time in the cooling zone for the various values of the slab thickness are good agreement with the several operating data reported hitherto.