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I am trying to figure out how the cross sectional area to make the heat transfer from one object be the maximum amount of heat transfer with the minimal amount of area... I know the thermal transfer coefficient is watts per (meter*kelvin).

I find this to be odd. So firstly can someone explain to me why its watts per meter kelvin instead of watts per square meter? If it is longer heat transfers slower even in steady state?

Secondly, if it IS watts per meter Kelvin... Then what if one object is a weird shape? What if one object is say, a human body with a heat sink on your foot. What would the thickness of the human be (Assuming a thermal coefficient "average" for the human of 0.3)

And third, assuming all the above, is the below calculation correct?

Object 1 is at 37K (Kelvin), Length 15M, transfer coefficient of 0.3 W/(M*K)

Object 2 is at 0K, Length : L2 , thermal transfer: 400 W/(M*K)

$$\frac{400*A1*37K}{15}=\frac{0.3*A2*37K}{L2}$$

$$\frac{A2}{A1}=\frac{400*0.3*L2}{15}$$