A complex mathematical model characterizing the centerline segregation level in the mid region of continuously cast slabs was developed. The basic heat transfer and solidification model connected to the semi-empirical liquid feeding model gives the possibility to estimate the centerline segregation parameters of slab cast under industrial circumstances. Solid shell deformation changes the volume of the space available for the liquid inside the slab and hereby also changes the conditions of liquid supply. The liquid flow in the mushy area of the strand is impeded by the network of solid dendrites modifying the permeability according to Carman-Kozeny equation, and hence ferrostatic pressure decreases (Darcy law) and liquid supply becomes uncertain. The reduction itself and the reduction rate of ferrostatic pressure play a key role in porosity formation.