In continuous casting of steel, metallurgical length (ML) is the distance between the exit from the mold and the point of full solidification of a steel slab,As ML depends on several factors like casting speed,steel grade,spray water cooling,machine design etc. it is difficult to evolve an
empirical formula solely based on chemical analysis of steel in this complex domain. But external factors by and large the same(keeping constant),through using normalization mathematical techniques i believe one can arrive at an empirical solution depending on steel grade.