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How can I calculate the total heat transfer and h (convection) of an entire heat sink by using Newton's Law of Cooling?

How can I calculate the total heat transfer and h (convection) of an entire heat sink by using Newton's Law of Cooling? It says that I could use techniques to estimate the heat rate from one fin, then use the heat rate from one fin to approximate heat rate from the other fins, but I am not sure.

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