heat transfert through a cast iron ladle.

[bilou]

hi all , first of all happy new year !!!
I have a big problem, my boss ask me to make an optimisation of the thermal dissipation of our cast iron ladle .
Actually we make them with a conical casing , insulated by a thermic resistant concrete.
I think by experience , that it will be exist a relation between the outlet surface ( cast iron/air) which is a convective dissipation and the lateral surface ( cast iron /concrete) which is a radiative dissipation and the external temperature of the casing ( human dangerous potentiel accident).
In function of the conical form ( mass of cast iron liquid, diameters and height) I must calculate the thickness of insulated media to reach the lowerest temperature of the skin of casing !!!!

If you have ever worked on this problem, or if you can help me , I will be very grateful.

thanks