The first part of the paper presents a continuum model (single phase) of solidification of steel. The governing equations of continuity, momentum, enthalpy and solute are shown in the form required to be mplemented in existing commercial CFD codes (i.e. in the form of transient, convection, diffusion and source terms). The second part of the paper presents a method for calculating the volume inflow required to compensate for the volume change due to solidification shrinkage of the mushy zone. A 2-D finite element model of heat transfer and stress-displacement has been developed. The precalculated temperature field is imposed as a thermal load to the stress mdoel. The displacements fo the mushy zone have been sued to compute volume change during solidification, in particular towards the final stage of solidification when macrosegregation phenomena appears.
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