## Thermal Conductivity

I have a problem. I am designing a probe to first be put through a furnace for 5 minutes (Temp: 1030C) and then straight into a lead bath (Temp: 530C for 3 minutes). I need to be able to calculate the required thickness of insulation.

For the formula k=(Q/t)*((L)/(A*ΔT))

I know ΔT as I need an internal temperature not greater then 45C, I know A, k and t. my problem is L and Q. is there an easier way to calculate this? Am I missing something?

The furnace can be split up into zones, but for the concepts, the above is correct. what process should i do?

Cheers,
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