Heat flow calculations

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Job Description

I'm designing a something like an infloor heat system. This design will be printed by a 3rd printer. (no more than 6inchs by 6inchs).

The plate have 1mm channels where the high Temperature liquid. The plate is in contact to another plate where the cold liquid is circulating. Between these two panels is a sheet of copper to help transfer the heat faster.
The channels are 1mm in diameter. More details will be given for the winning bidder.

I need a design and calculations for the heat transfer happening.