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Heat transfer setting temperatures not affected by material

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So when I do a heat transfer (stationary, 2d), I have a rectangle and I set the top and the sides to 300K, and the bottom to 600K. Then I do temperature profiles of these conditions for two materials with very different thermal coefficients however the temperature profile still look identical. Why does the material have no effect on how the temperature is distributed whereas material has an effect when i use a heat source?

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