Balance equations and models for the conduction and convection of heat transfer processes of JOMINY

[marcousc]

I'm interested in the statement of the heat balance of convection and conduction heat transfer processes during quenching of a steel cillindrical Jominy test bar. The idea is to get a mathematical model that correlate correctly the variables of temperature T, time t, space x, heat capacity Cp and thermal conductivity for the temperature, time, space temperature distribution profile of the cillindrical bar.

Where can I get a reference for this?

With all the best

Marco Uscanga