Abstract
The Heat Balance Integral Method is applied to solve for the continuous casting of cylindrical ingots. Unlike previously developed integral solutions the present analysis includes the effect of axial conduction. Comparison with the solution derived by Veynick (which neglects axial conduction) shows that, for small Peclet numbers, the discrepancy between the results can be quite appreciable. In particular the pool depth prediction by the present analysis can be as much as 40 percent shorter. In its present form the method assumes constant temperature in the liquid metal and constant properties in the solidified crust. It is applicable to a variety of surface cooling rates including constant film coefficient, constant heat flux and other more general conditions. It can also take into account superheat of the molten metal.
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