The heat flux, Q is a function of the various casting parameters, such as casting speed (vc), casting powder, superheat, oscillation and the steel grade, particularly the carbon content. The heat flux can be calculated using the following formula:
Q = αeff (TS - TM) Aeff
Where:
αeff = effective heat transfer coefficient
TS = temperature of strand
TM = temperature of mold
Aeff = effective cooling area of the mold
Solidification begins in the mold and the heat flux is a function of the mold height. The graph shows this variation with height and at a number of different casting speeds for a low carbon steel slab. Notice that as the slab cools and contracts the solidified shell moves away from the mold , effectively reducing the heat flux because of the insulating air gap.

