Abstract
The condition at the mold-ingot interface has a great influence on the cooling of ingots. But the influence appears not to be fully analyzed.
In this paper, it is shown that the cooling of ingots before solidification can be analyzed by considering the heat resistance R at the mold-ingot interface and approximate solutions are given by using the heat balance integral.
The results are as follows:
(1) For the semi-infinite mold and ingot, approximate solutions are obtained for a constant R, the linear variation of R with the interface temperature of ingot, and for the second-degree polynominal variation of R with the interface temperature.
(2) When the thickness of an ingot with constant R is 2a cm and the mold is semi-infinite, approximate solutions are also proposed.
