Trying to optimize mechanical properties of cast steel through heat treatment and would like to find any theoretical methods to generate a hypothesis defining final mechanical properties.
Yes it is a sophisticated topic, for that I recommend you to go through the methodology included in the experimental procedure section in [1] that leading to determination the maximum austenite grain size during normalizing for a given temperature. In [2] the growth behavior and the effects of the holding time and heating temperature on the grain sizes were investigated and analyzed to predict the austenite growth using the Sellar's model.
Best regards
[1]Article Austenite grain growth in alumina-forming austenitic steel
Previous lamination, extrusion of the metal introduces dislocations and that can later affect grain size growth. The better would be normalize some sample at diferent temperatures and then graphicate Grain Size vs TT of your particular steel. You should have a tendency showing were the max grain size is.