A recent asymptotic model for solidification shrinkage-induced macrosegregation in
the continuous casting of binary alloys is extended for the purposes of understanding
the link between solute segregation and centreline shrinkage porosity, a defect that
commonly occurs in the continuous casting of steel. In particular, the analysis
elucidates the relationship between microsegregation, mushy-zone permeability,
heat transfer and centreline pressure, yielding an inequality that constitutes a criterion
for whether or not centreline porosity will form. The possibilities for developing this
approach to take account of gas porosity and the implementation of mechanical soft
reduction to reduce macrosegregation and shrinkage porosity are also discussed.