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If I have a cuboid block of metal and there is a cylindrical source of heat input (A) and I want to determine the heat energy at B (also cylindrical) how would I do this?

I understand considerations must be given for transfer from A to the block, the transfer of the block to surrounding air and then the transfer of the block to B. So, how would I calculate this?

I am only looking for a very rough approximation to the solution as this is to help me with a project of mine. I just need to find an answer I can use to provide a comparison between designs.

Diagram

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  • $\begingroup$ If the heat transfer is from A to B through the medium as you state then you won't need any consideration of heat to air, unless you do want to include losses... $\endgroup$
    – Solar Mike
    Dec 6, 2019 at 12:33
  • $\begingroup$ What is the media for A, B, and the block (solid, liquid, gas)? Is the system at steady state only loosing heat to the air surrounding the block, or is the channel B also carrying away heat? Do you realize that in a one-dimensional lumped analysis at steady state with no other heat loss but to the surrounding air, temperatures at A, B, and the block will be the same? Do you want a 2-D or 3-D analysis? Do you want an unsteady-state analysis? $\endgroup$ Dec 6, 2019 at 21:37

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